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A Differential Neutral-to-Charged Current Double-Proton Observable for Studying Short-Range Correlations in Neutrino--Argon Scattering
Authors:
A. Bueno,
D. Garcia-Gamez,
C. Martin-Morales
Abstract:
Two-nucleon emission is a leading uncertainty in neutrino--nucleus interaction modeling, and no neutrino measurement constrains its short-range-correlation (SRC) component. We propose such a measurement: the ratio of neutral-current to charged-current two-proton production in neutrino--argon interactions as a function of the proton-pair relative momentum. Charged-current interactions convert the a…
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Two-nucleon emission is a leading uncertainty in neutrino--nucleus interaction modeling, and no neutrino measurement constrains its short-range-correlation (SRC) component. We propose such a measurement: the ratio of neutral-current to charged-current two-proton production in neutrino--argon interactions as a function of the proton-pair relative momentum. Charged-current interactions convert the abundant neutron--proton SRC pairs into visible proton pairs, whereas neutral-current interactions lack an analogous SRC contribution because proton--proton pairs are about twenty times less abundant. The ratio is therefore predicted to decrease at large relative momentum, where the charged-current SRC contribution dominates, while the neutral-current sample provides a smooth reference determined mainly by final-state interactions and multinucleon processes. Simulations predict a suppression whose magnitude scales with the SRC fraction. Flux normalization and correlated detector systematics largely cancel in the ratio, making the measurement feasible with existing liquid-argon time projection chambers. Independently of the precise SRC contribution, this observable provides the first direct experimental probe of the isospin structure of weak two-nucleon emission.
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Submitted 16 July, 2026;
originally announced July 2026.
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Invariant $λ$-translators in the Heisenberg group
Authors:
Antonio Bueno
Abstract:
We study oriented surfaces in the Heisenberg space $\mathrm{Nil}_3$ whose mean curvature $H$ at each point is $H=\langle N,\partial_z\rangle+λ$, where $N$ is the unit normal, $\partial_z$ is the vertical Killing vector field and $λ\in\mathbb{R}$. These surfaces are known as $λ$-translators and generalize, among others, minimal and positive constant mean curvature surfaces, and also translating sol…
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We study oriented surfaces in the Heisenberg space $\mathrm{Nil}_3$ whose mean curvature $H$ at each point is $H=\langle N,\partial_z\rangle+λ$, where $N$ is the unit normal, $\partial_z$ is the vertical Killing vector field and $λ\in\mathbb{R}$. These surfaces are known as $λ$-translators and generalize, among others, minimal and positive constant mean curvature surfaces, and also translating solitons of the mean curvature flow. The objective in this paper is to classify $λ$-translators invariant by the following one-parameter groups of isometries of $\mathrm{Nil}_3$: left-translations, rotations and helicoidal motions.
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Submitted 30 June, 2026;
originally announced June 2026.
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Invariant $λ$-translators in $\mathbb{S}^2\times\mathbb{R}$
Authors:
Antonio Bueno
Abstract:
A $λ$-translator in $\mathbb{S}^2\times\mathbb{R}$ is an oriented surface whose mean curvature $H$ satisfies $H=\langle N,\partial_z\rangle+λ$, where $N$ is the unit normal, $\partial_z$ is the vertical Killing vector field tangent to the fibers of the submersion and $λ\in\mathbb{R}$. When $λ=0$ we fall into the class of translators. In this paper, we classify all $λ$-translators that are invarian…
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A $λ$-translator in $\mathbb{S}^2\times\mathbb{R}$ is an oriented surface whose mean curvature $H$ satisfies $H=\langle N,\partial_z\rangle+λ$, where $N$ is the unit normal, $\partial_z$ is the vertical Killing vector field tangent to the fibers of the submersion and $λ\in\mathbb{R}$. When $λ=0$ we fall into the class of translators. In this paper, we classify all $λ$-translators that are invariant by a one-parameter group of rotations and by vertical translations of $\mathbb{S}^2\times\mathbb{R}$.
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Submitted 30 June, 2026;
originally announced June 2026.
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Depth of Maximum of Air-Shower Profiles above 10^17.7 eV Measured with the Fluorescence Detector of the Pierre Auger Observatory
Authors:
The Pierre Auger Collaboration,
A. Abdul Halim,
P. Abreu,
M. Aglietta,
M. Ahmed,
I. Allekotte,
K. Almeida Cheminant,
R. Aloisio,
J. Alvarez-Muñiz,
A. Ambrosone,
J. Ammerman Yebra,
L. Anchordoqui,
B. Andrada,
L. Andrade Dourado,
L. Apollonio,
C. Aramo,
E. Arnone,
J. C. Arteaga Velázquez,
P. Assis,
G. Avila,
E. Avocone,
A. Bakalova,
Y. Balibrea,
A. Baluta,
F. Barbato
, et al. (336 additional authors not shown)
Abstract:
We present measurements of the depth of shower maximum, Xmax, for cosmic-ray-induced extensive air showers recorded by the fluorescence detector of the Pierre Auger Observatory over 17 years. The data set covers primary energies from 10^17.7 eV to beyond 10^19.6 eV. With improved event reconstruction and an exposure 2.4 times larger than in our previous analysis, this work confirms and refines our…
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We present measurements of the depth of shower maximum, Xmax, for cosmic-ray-induced extensive air showers recorded by the fluorescence detector of the Pierre Auger Observatory over 17 years. The data set covers primary energies from 10^17.7 eV to beyond 10^19.6 eV. With improved event reconstruction and an exposure 2.4 times larger than in our previous analysis, this work confirms and refines our conclusions on the mass composition at ultra-high energies. The energy evolution of the mean Xmax exhibits a pronounced break at around 10^18.4 eV, providing direct, model-independent evidence for a change in the evolution of the mass composition. Independently, the observed decrease of the Xmax fluctuations with energy indicates a transition toward a heavier and less diverse primary mass composition. No statistically significant declination dependence of the Xmax distributions is observed within the exposure of the Observatory, indicating an isotropic mass composition. The mean and standard deviation of the Xmax distributions, interpreted with air-shower simulations, yield the energy dependence of the average and variance of the logarithmic mass of cosmic rays arriving at Earth. Furthermore, energy-dependent fractional abundances of four representative primary-mass groups (p, He, CNO, Fe) are obtained by fitting the observed Xmax distributions in each energy bin with a weighted sum of elemental templates. These results provide strong evidence against a long-standing assumption that ultra-high-energy cosmic rays are predominantly protons: above ~10^18.4 eV, the average cosmic-ray mass increases, accompanied by a steadily decreasing diversity in the elemental composition.
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Submitted 12 May, 2026;
originally announced May 2026.
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Bounds on Lorentz invariance violation from muon fluctuations at the Pierre Auger Observatory
Authors:
The Pierre Auger Collaboration,
A. Abdul Halim,
P. Abreu,
M. Aglietta,
I. Allekotte,
K. Almeida Cheminant,
R. Aloisio,
J. Alvarez-Muñiz,
A. Ambrosone,
J. Ammerman Yebra,
L. Anchordoqui,
B. Andrada,
L. Andrade Dourado,
L. Apollonio,
C. Aramo,
E. Arnone,
J. C. Arteaga Velázquez,
P. Assis,
G. Avila,
E. Avocone,
A. Bakalova,
Y. Balibrea,
A. Baluta,
F. Barbato,
A. Bartz Mocellin
, et al. (335 additional authors not shown)
Abstract:
Quantum gravity theories often modify spacetime symmetries. In particular, Lorentz invariance may be violated when approaching the Planck scale. Although the scales at which interactions occur in extensive air showers induced by ultra-high-energy cosmic rays in the atmosphere are many orders of magnitude below the Planck scale, these violations might still be observable. In this work, the fluctuat…
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Quantum gravity theories often modify spacetime symmetries. In particular, Lorentz invariance may be violated when approaching the Planck scale. Although the scales at which interactions occur in extensive air showers induced by ultra-high-energy cosmic rays in the atmosphere are many orders of magnitude below the Planck scale, these violations might still be observable. In this work, the fluctuations in the number of muons in the extensive air showers measured at the Pierre Auger Observatory are exploited, for the first time, to constrain Lorentz invariance violations. The bounds derived in the hadronic sector are the strongest ever obtained, and do not rely on assumptions about the mass composition of ultra-high-energy cosmic rays. The fluctuations in the number of muons constitute a new and powerful observable to further explore Lorentz invariance in a region of the parameter space not accessible to other observables.
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Submitted 4 June, 2026; v1 submitted 16 February, 2026;
originally announced February 2026.
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Search for ultra-high energy neutrons from Galactic sources with the Pierre Auger Observatory
Authors:
The Pierre Auger Collaboration,
A. Abdul Halim,
P. Abreu,
M. Aglietta,
I. Allekotte,
K. Almeida Cheminant,
A. Almela,
R. Aloisio,
J. Alvarez-Muñiz,
A. Ambrosone,
J. Ammerman Yebra,
L. Anchordoqui,
B. Andrada,
L. Andrade Dourado,
L. Apollonio,
C. Aramo,
E. Arnone,
J. C. Arteaga Velázquez,
P. Assis,
G. Avila,
E. Avocone,
A. Bakalova,
A. Baluta,
F. Barbato,
A. Bartz Mocellin
, et al. (335 additional authors not shown)
Abstract:
Deflections in the propagation of charged ultra-high-energy cosmic rays (UHECRs) caused by magnetic fields make the identification of their sources challenging. On the other hand, the arrival directions at Earth of neutrons point directly to their origin. The emission of UHECRs from a source is expected to be accompanied by the production of neutrons in its vicinity through interactions with ambie…
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Deflections in the propagation of charged ultra-high-energy cosmic rays (UHECRs) caused by magnetic fields make the identification of their sources challenging. On the other hand, the arrival directions at Earth of neutrons point directly to their origin. The emission of UHECRs from a source is expected to be accompanied by the production of neutrons in its vicinity through interactions with ambient matter and radiation. Since free neutrons travel a mean distance $d/\text{kpc}=9.2(E/\text{EeV})$ before decaying, a neutron flux in the EeV range could be detected on Earth from sources of UHECRs in our Galaxy. Using cosmic-ray data from the Phase\,I of the Surface Detector of the Pierre Auger Observatory, we search for neutron fluxes from Galactic candidate sources. We select more than 1000 objects of astrophysical interest, stacking them into target sets. The targets all have declinations within the exposure of the Observatory, ranging from $-90^\circ$ up to $+45^\circ$ for energies above 1 EeV (and up to $+20^\circ$ for energies down to 0.1 EeV). Given that a neutron air shower is indistinguishable from a proton one, there is a significant background due to cosmic rays. A neutron flux from the direction of a candidate source would be identified by a celestial density of events that significantly exceeds the expected density of cosmic rays for that direction. No significant excess is found at any tested target direction, and an upper limit on the neutron flux is calculated for each candidate source.
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Submitted 2 February, 2026;
originally announced February 2026.
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Long-term calibration and validation of stability of the Auger Engineering Radio Array using the diffuse Galactic radio emission
Authors:
The Pierre Auger Collaboration,
A. Abdul Halim,
P. Abreu,
M. Aglietta,
I. Allekotte,
K. Almeida Cheminant,
R. Aloisio,
J. Alvarez-Muñiz,
A. Ambrosone,
J. Ammerman Yebra,
L. Anchordoqui,
B. Andrada,
L. Andrade Dourado,
L. Apollonio,
C. Aramo,
E. Arnone,
J. C. Arteaga Velázquez,
P. Assis,
G. Avila,
E. Avocone,
A. Bakalova,
Y. Balibrea,
A. Baluta,
F. Barbato,
A. Bartz Mocellin
, et al. (334 additional authors not shown)
Abstract:
The Auger Engineering Radio Array (AERA) measures radio emission from high-energy extensive air showers. Consisting of 153 autonomous radio-detector stations spread over $17$\,km$^2$, it detects radio waves in the frequency range of $30$ to $80$\,MHz. Accurate characterization of the detector response is crucial for proper interpretation of the collected data. Previously, this was achieved through…
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The Auger Engineering Radio Array (AERA) measures radio emission from high-energy extensive air showers. Consisting of 153 autonomous radio-detector stations spread over $17$\,km$^2$, it detects radio waves in the frequency range of $30$ to $80$\,MHz. Accurate characterization of the detector response is crucial for proper interpretation of the collected data. Previously, this was achieved through laboratory measurements of the analog chain and simulations and measurements of the antenna's directional response. In this paper, we perform an absolute calibration using the continuously monitored sidereal modulation of the diffuse Galactic radio emission. Calibration is done by comparing the average frequency spectra recorded by the stations with predictions from seven different models of the full radio sky, accounting for the system response, which includes the antenna, filters, and amplifiers. The analysis of the calibration constants over a period of seven years shows no relevant and no significant ageing effect in the AERA antennas. This result confirms the long-term stability of the detector stations and demonstrates the possibility for a radio detector to effectively monitor ageing effects of other detectors operating over extended periods.
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Submitted 3 December, 2025;
originally announced December 2025.
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Quasi-constant time gap in multiple rings of elves
Authors:
The Pierre Auger Collaboration,
A. Abdul Halim,
P. Abreu,
M. Aglietta,
I. Allekotte,
K. Almeida Cheminant,
A. Almela,
R. Aloisio,
J. Alvarez-Muñiz,
A. Ambrosone,
J. Ammerman Yebra,
G. A. Anastasi,
L. Anchordoqui,
B. Andrada,
L. Andrade Dourado,
S. Andringa,
L. Apollonio,
C. Aramo,
E. Arnone,
J. C. Arteaga Velázquez,
P. Assis,
G. Avila,
E. Avocone,
A. Bakalova,
F. Barbato
, et al. (337 additional authors not shown)
Abstract:
We present evidence that the time delay between the multiple rings of elves is not caused by the ground reflection of the electromagnetic pulse produced by intracloud lightning. To investigate temporal differences of multi-elves, we analyzed data from four storms occurring at various times and distances from the Pierre Auger Observatory in Malargüe, Argentina. The Auger fluorescence detector's hig…
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We present evidence that the time delay between the multiple rings of elves is not caused by the ground reflection of the electromagnetic pulse produced by intracloud lightning. To investigate temporal differences of multi-elves, we analyzed data from four storms occurring at various times and distances from the Pierre Auger Observatory in Malargüe, Argentina. The Auger fluorescence detector's high temporal resolution of 100 ns enabled the frequent observation of multi-elves, accounting for approximately 23% of the events. By examining the traces of 70 double and 24 triple elves, we demonstrate that the time delay between the rings remains relatively constant regardless of the arc distance to the lightning. These results deviate from the trend expected from the electromagnetic pulse (EMP) ground reflection model, which predicts a decreasing time delay with increasing arc distance from an intracloud lightning at a given height. The first emission ring is due to a direct path of the EMP to the ionosphere, with the reflected EMP creating the second ring. Simulations conducted with this model demonstrate that short energetic in-cloud pulses can generate four-peak elves, and a temporal resolution of at least 25 $μ$s is required to separate them. Therefore, temporal resolution is crucial in the study of multi-elves. Our observations in the Córdoba province, central Argentina, indicate that the current understanding of the mechanism generating these phenomena may be incomplete, and further studies are needed to assess whether multi-elves are more likely related to the waveform shape of the lightning than to its altitude.
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Submitted 7 November, 2025;
originally announced November 2025.
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Extension of a problem of Euler in $\mathbb{H}^2$ and in $\mathbb{S}^2$
Authors:
Muhittin Evren Aydin,
Antonio Bueno,
Rafael López
Abstract:
In this paper, we extend the notion of stationary curves with respect to the moment of inertia from a point $N$ in the Euclidean plane $\mathbb{R}^2$ to the case that the ambient space is either the hyperbolic plane $\mathbb{H}^2$ or the sphere $\mathbb{S}^2$. We characterize the critical points of this energy in terms of the curvature of the curve and the distance to $N$. In $\mathbb{H}^2$, we pr…
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In this paper, we extend the notion of stationary curves with respect to the moment of inertia from a point $N$ in the Euclidean plane $\mathbb{R}^2$ to the case that the ambient space is either the hyperbolic plane $\mathbb{H}^2$ or the sphere $\mathbb{S}^2$. We characterize the critical points of this energy in terms of the curvature of the curve and the distance to $N$. In $\mathbb{H}^2$, we prove that the only closed stationary curves are circles centered at $N$. In $\mathbb{S}^2$, we estimate the value of $α$ for closed curves according to the hemisphere of $\mathbb{S}^2$ in which the curve lies. In addition, we find the first integrals of the ODEs that describe the parametrizations of stationary curves in both ambient spaces. Finally, we consider the energy minimization problem for curves connecting two points collinear with $N$, in particular solving the case of geodesics.
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Submitted 1 October, 2025;
originally announced October 2025.
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The Pierre Auger Observatory: Contributions to the 39th International Cosmic Ray Conference (ICRC 2025)
Authors:
The Pierre Auger Collaboration,
A. Abdul Halim,
P. Abreu,
M. Aglietta,
I. Allekotte,
K. Almeida Cheminant,
A. Almela,
R. Aloisio,
J. Alvarez-Muñiz,
A. Ambrosone,
J. Ammerman Yebra,
L. Anchordoqui,
B. Andrada,
L. Andrade Dourado,
L. Apollonio,
C. Aramo,
E. Arnone,
J. C. Arteaga Velázquez,
P. Assis,
G. Avila,
E. Avocone,
A. Bakalova,
A. Baluta,
F. Barbato,
A. Bartz Mocellin
, et al. (330 additional authors not shown)
Abstract:
The Pierre Auger Observatory, located in La Pampa Amarilla, Argentina, has been continuously acquiring data since 2004. It comprises a surface detector array covering 3,000 km$^2$ and 27 fluorescence telescopes, designed to detect extensive air showers initiated by ultra-high-energy cosmic rays. An upgrade to the Observatory was commissioned in 2024, enhancing the existing water-Cherenkov detector…
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The Pierre Auger Observatory, located in La Pampa Amarilla, Argentina, has been continuously acquiring data since 2004. It comprises a surface detector array covering 3,000 km$^2$ and 27 fluorescence telescopes, designed to detect extensive air showers initiated by ultra-high-energy cosmic rays. An upgrade to the Observatory was commissioned in 2024, enhancing the existing water-Cherenkov detectors with additional radio antennas, surface scintillator detectors, and a buried scintillator array. This compilation of contributions to the 39th International Cosmic Ray Conference, held in Geneva, Switzerland (July 15-24, 2025), presents recent results from the Pierre Auger Collaboration, addressing a wide range of fundamental questions in astroparticle physics. The included papers cover measurements of the energy spectrum, mass composition, and arrival directions of ultra-high-energy cosmic rays, investigations of hadronic interactions in extensive air showers, and searches for ultra-high-energy photons and neutrinos. Additional topics include radio detection techniques, solar-related phenomena, and atmospheric events such as ELVES and TGFs. The list also contains first results and performance evaluations of the upgraded detectors, AugerPrime, along with reports on outreach and social engagement initiatives conducted by the Collaboration.
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Submitted 23 October, 2025; v1 submitted 18 July, 2025;
originally announced July 2025.
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Socio-Technical Smell Dynamics in Code Samples: A Multivocal Review on Emergence, Evolution, and Co-Occurrence
Authors:
Arthur Bueno,
Bruno Cafeo,
Maria Cagnin,
Awdren Fontão
Abstract:
Code samples play a pivotal role in open-source ecosystems (OSSECO), serving as lightweight artifacts that support knowledge transfer, onboarding, and framework adoption. Despite their instructional relevance, these samples are often governed informally, with minimal review and unclear ownership, which increases their exposure to socio-technical degradation. In this context, the co-occurrence and…
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Code samples play a pivotal role in open-source ecosystems (OSSECO), serving as lightweight artifacts that support knowledge transfer, onboarding, and framework adoption. Despite their instructional relevance, these samples are often governed informally, with minimal review and unclear ownership, which increases their exposure to socio-technical degradation. In this context, the co-occurrence and longitudinal interplay of code smells (e.g., large classes, poor modularity) and community smells (e.g., lone contributors, fragmented communication) become particularly critical. While each type of smell has been studied in isolation, little is known about how community-level dysfunctions anticipate or exacerbate technical anomalies in code samples over time. This study investigates how code and community smells emerge, co-occur, and evolve within code samples maintained in OSSECOs. A Multivocal Literature Review protocol was applied, encompassing 30 peer-reviewed papers and 17 practitioner-oriented sources (2013-2024). Thematic synthesis was conducted to identify recurring socio-technical patterns related to smell dynamics. Nine patterns were identified, showing that community smells often precede or reinforce technical degradation in code samples. Symptoms such as "radio silence" and centralized ownership were frequently associated with persistent structural anomalies. Additionally, limited onboarding, the absence of continuous refactoring, and informal collaboration emerged as recurring conditions for smell accumulation. Conclusion: In OSSECOs, particularly within code samples, community-level dysfunctions not only correlate with but often signal maintainability decay. These findings underscore the need for socio-technical quality indicators and lightweight governance mechanisms tailored to shared instructional artifacts.
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Submitted 17 July, 2025;
originally announced July 2025.
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Measuring the muon content of inclined air showers using AERA and the water-Cherenkov detectors of the Pierre Auger Observatory
Authors:
The Pierre Auger Collaboration,
A. Abdul Halim,
P. Abreu,
M. Aglietta,
I. Allekotte,
K. Almeida Cheminant,
A. Almela,
R. Aloisio,
J. Alvarez-Muñiz,
A. Ambrosone,
J. Ammerman Yebra,
G. A. Anastasi,
L. Anchordoqui,
B. Andrada,
L. Andrade Dourado,
S. Andringa,
L. Apollonio,
C. Aramo,
E. Arnone,
J. C. Arteaga Velázquez,
P. Assis,
G. Avila,
E. Avocone,
A. Bakalova,
F. Barbato
, et al. (338 additional authors not shown)
Abstract:
We present a novel approach for assessing the muon content of air showers with large zenith angles on a combined analysis of their radio emission and particle footprint. We use the radiation energy reconstructed by the Auger Engineering Radio Array (AERA) as an energy estimator and determine the muon number independently with the water-Cherenkov detector array of the Pierre Auger Observatory, depl…
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We present a novel approach for assessing the muon content of air showers with large zenith angles on a combined analysis of their radio emission and particle footprint. We use the radiation energy reconstructed by the Auger Engineering Radio Array (AERA) as an energy estimator and determine the muon number independently with the water-Cherenkov detector array of the Pierre Auger Observatory, deployed on a 1500 m grid. We focus our analysis on air showers with primary energy above 4 EeV to ensure full detection efficiency. Over approximately ten years of accumulated data, we identify a set of 40 high-quality events that are used in the analysis. The estimated muon contents in data are compatible with those for iron primaries as predicted by current-generation hadronic interaction models. This result can be interpreted as a deficit of muons in simulations as a lighter mass composition has been established from Xmax measurements. This muon deficit was already observed in previous analyses of the Auger Collaboration and is confirmed using hybrid events that include radio measurements for the first time.
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Submitted 7 January, 2026; v1 submitted 3 July, 2025;
originally announced July 2025.
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The Energy Spectrum of Ultra-High Energy Cosmic Rays across Declinations $-90^\circ$ to $+44.8^\circ$ as measured at the Pierre Auger Observatory
Authors:
The Pierre Auger Collaboration,
A. Abdul Halim,
P. Abreu,
M. Aglietta,
I. Allekotte,
K. Almeida Cheminant,
A. Almela,
R. Aloisio,
J. Alvarez-Muñiz,
A. Ambrosone,
J. Ammerman Yebra,
G. A. Anastasi,
L. Anchordoqui,
B. Andrada,
L. Andrade Dourado,
S. Andringa,
L. Apollonio,
C. Aramo,
E. Arnone,
J. C. Arteaga Velázquez,
P. Assis,
G. Avila,
E. Avocone,
A. Bakalova,
F. Barbato
, et al. (338 additional authors not shown)
Abstract:
The energy spectrum of cosmic rays above 2.5 EeV has been measured across the declination range $-90^\circ \leqδ\leq +44.8^\circ$ using data from $\sim 310{,}000$ events accrued at the Pierre Auger Observatory from an exposure of $(104{,}900\pm 3{,}100)$ km$^2\,$sr$\,$yr. No significant variations of energy spectra with declination are observed, after allowing or not for non-uniformities across th…
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The energy spectrum of cosmic rays above 2.5 EeV has been measured across the declination range $-90^\circ \leqδ\leq +44.8^\circ$ using data from $\sim 310{,}000$ events accrued at the Pierre Auger Observatory from an exposure of $(104{,}900\pm 3{,}100)$ km$^2\,$sr$\,$yr. No significant variations of energy spectra with declination are observed, after allowing or not for non-uniformities across the sky arising from the well-established dipolar anisotropies in the arrival directions of ultra-high energy cosmic rays. Additionally, the instep feature in the spectrum at $\simeq$ 10 EeV reported previously is now established at a significance above $5\,σ$. The quasi-uniformity of the energy spectrum across declinations disfavors an origin for the instep from a few distinctive sources.
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Submitted 28 October, 2025; v1 submitted 13 June, 2025;
originally announced June 2025.
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An Open-Source and Reproducible Implementation of LSTM and GRU Networks for Time Series Forecasting
Authors:
Gissel Velarde,
Pedro Branez,
Alejandro Bueno,
Rodrigo Heredia,
Mateo Lopez-Ledezma
Abstract:
This paper introduces an open-source and reproducible implementation of Long Short-Term Memory (LSTM) and Gated Recurrent Unit (GRU) Networks for time series forecasting. We evaluated LSTM and GRU networks because of their performance reported in related work. We describe our method and its results on two datasets. The first dataset is the S&P BSE BANKEX, composed of stock time series (closing pri…
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This paper introduces an open-source and reproducible implementation of Long Short-Term Memory (LSTM) and Gated Recurrent Unit (GRU) Networks for time series forecasting. We evaluated LSTM and GRU networks because of their performance reported in related work. We describe our method and its results on two datasets. The first dataset is the S&P BSE BANKEX, composed of stock time series (closing prices) of ten financial institutions. The second dataset, called Activities, comprises ten synthetic time series resembling weekly activities with five days of high activity and two days of low activity. We report Root Mean Squared Error (RMSE) between actual and predicted values, as well as Directional Accuracy (DA). We show that a single time series from a dataset can be used to adequately train the networks if the sequences in the dataset contain patterns that repeat, even with certain variation, and are properly processed. For 1-step ahead and 20-step ahead forecasts, LSTM and GRU networks significantly outperform a baseline on the Activities dataset. The baseline simply repeats the last available value. On the stock market dataset, the networks perform just like the baseline, possibly due to the nature of these series. We release the datasets used as well as the implementation with all experiments performed to enable future comparisons and to make our research reproducible.
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Submitted 25 April, 2025;
originally announced April 2025.
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The Short-Baseline Near Detector at Fermilab
Authors:
SBND Collaboration,
R. Acciarri,
L. Aliaga-Soplin,
O. Alterkait,
R. Alvarez-Garrote,
D. Andrade Aldana,
C. Andreopoulos,
A. Antonakis,
L. Arellano,
W. Badgett,
S. Balasubramanian,
A. Barnard,
V. Basque,
J. Bateman,
A. Beever,
E. Belchior,
M. Betancourt,
A. Bhat,
M. Bishai,
A. Blake,
B. Bogart,
J. Bogenschuetz,
D. Brailsford,
A. Brandt,
S. Brickner
, et al. (173 additional authors not shown)
Abstract:
SBND is a 112 ton liquid argon time projection chamber (LArTPC) neutrino detector located 110 meters from the Booster Neutrino Beam (BNB) target at Fermilab. Its main goals include searches for eV-scale sterile neutrinos as part of the Short-Baseline Neutrino (SBN) program, other searches for physics beyond the Standard Model, and precision studies of neutrino-argon interactions. In addition, SBND…
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SBND is a 112 ton liquid argon time projection chamber (LArTPC) neutrino detector located 110 meters from the Booster Neutrino Beam (BNB) target at Fermilab. Its main goals include searches for eV-scale sterile neutrinos as part of the Short-Baseline Neutrino (SBN) program, other searches for physics beyond the Standard Model, and precision studies of neutrino-argon interactions. In addition, SBND is providing a platform for LArTPC neutrino detector technology development and is an excellent training ground for the international group of scientists and engineers working towards the upcoming flagship Deep Underground Neutrino Experiment (DUNE). SBND began operation in July 2024, and started collecting stable neutrino beam data in December 2024 with an unprecedented rate of ~7,000 neutrino events per day. During its currently approved operation plans (2024-2027), SBND is expected to accumulate nearly 10 million neutrino interactions. The near detector dataset will be instrumental in testing the sterile neutrino hypothesis with unprecedented sensitivity in SBN and in probing signals of beyond the Standard Model physics. It will also be used to significantly advance our understanding of the physics of neutrino-argon interactions ahead of DUNE. After the planned accelerator restart at Fermilab (2029+), opportunities are being explored to operate SBND in antineutrino mode in order to address the scarcity of antineutrino-argon scattering data, or in a dedicated beam-dump mode to significantly enhance sensitivity to searches for new physics. SBND is an international effort, with approximately 40% of institutions from Europe, contributing to detector construction, commissioning, software development, and data analysis. Continued European involvement and leadership are essential during SBND's operations and analysis phase for both the success of SBND, SBN and its role leading up to DUNE.
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Submitted 4 April, 2025; v1 submitted 31 March, 2025;
originally announced April 2025.
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A search for the anomalous events detected by ANITA using the Pierre Auger Observatory
Authors:
The Pierre Auger Collaboration,
A. Abdul Halim,
P. Abreu,
M. Aglietta,
I. Allekotte,
K. Almeida Cheminant,
A. Almela,
R. Aloisio,
J. Alvarez-Muñiz,
J. Ammerman Yebra,
G. A. Anastasi,
L. Anchordoqui,
B. Andrada,
S. Andringa,
L. Apollonio,
C. Aramo,
P. R. Araújo Ferreira,
E. Arnone,
J. C. Arteaga Velázquez,
P. Assis,
G. Avila,
E. Avocone,
A. Bakalova,
F. Barbato,
A. Bartz Mocellin
, et al. (352 additional authors not shown)
Abstract:
A dedicated search for upward-going air showers at zenith angles exceeding $110^\circ$ and energies $E>0.1$ EeV has been performed using the Fluorescence Detector of the Pierre Auger Observatory. The search is motivated by two "anomalous" radio pulses observed by the ANITA flights I and III which appear inconsistent with the Standard Model of particle physics. Using simulations of both regular cos…
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A dedicated search for upward-going air showers at zenith angles exceeding $110^\circ$ and energies $E>0.1$ EeV has been performed using the Fluorescence Detector of the Pierre Auger Observatory. The search is motivated by two "anomalous" radio pulses observed by the ANITA flights I and III which appear inconsistent with the Standard Model of particle physics. Using simulations of both regular cosmic ray showers and upward-going events, a selection procedure has been defined to separate potential upward-going candidate events and the corresponding exposure has been calculated in the energy range [0.1-33] EeV. One event has been found in the search period between 1 Jan 2004 and 31 Dec 2018, consistent with an expected background of $0.27 \pm 0.12$ events from mis-reconstructed cosmic ray showers. This translates to an upper bound on the integral flux of $(7.2 \pm 0.2) \times 10^{-21}$ cm$^{-2}$ sr$^{-1}$ y$^{-1}$ and $(3.6 \pm 0.2) \times 10^{-20}$ cm$^{-2}$ sr$^{-1}$ y$^{-1}$ for an $E^{-1}$ and $E^{-2}$ spectrum, respectively. An upward-going flux of showers normalized to the ANITA observations is shown to predict over 34 events for an $E^{-3}$ spectrum and over 8.1 events for a conservative $E^{-5}$ spectrum, in strong disagreement with the interpretation of the anomalous events as upward-going showers.
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Submitted 6 February, 2025;
originally announced February 2025.
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Search for a diffuse flux of photons with energies above tens of PeV at the Pierre Auger Observatory
Authors:
The Pierre Auger Collaboration,
A. Abdul Halim,
P. Abreu,
M. Aglietta,
I. Allekotte,
K. Almeida Cheminant,
A. Almela,
R. Aloisio,
J. Alvarez-Muñiz,
A. Ambrosone,
J. Ammerman Yebra,
G. A. Anastasi,
L. Anchordoqui,
B. Andrada,
L. Andrade Dourado,
S. Andringa,
L. Apollonio,
C. Aramo,
E. Arnone,
J. C. Arteaga Velázquez,
P. Assis,
G. Avila,
E. Avocone,
A. Bakalova,
F. Barbato
, et al. (337 additional authors not shown)
Abstract:
Diffuse photons of energy above 0.1 PeV, produced through the interactions between cosmic rays and either interstellar matter or background radiation fields, are powerful tracers of the distribution of cosmic rays in the Galaxy. Furthermore, the measurement of a diffuse photon flux would be an important probe to test models of super-heavy dark matter decaying into gamma-rays. In this work, we sear…
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Diffuse photons of energy above 0.1 PeV, produced through the interactions between cosmic rays and either interstellar matter or background radiation fields, are powerful tracers of the distribution of cosmic rays in the Galaxy. Furthermore, the measurement of a diffuse photon flux would be an important probe to test models of super-heavy dark matter decaying into gamma-rays. In this work, we search for a diffuse photon flux in the energy range between 50 PeV and 200 PeV using data from the Pierre Auger Observatory. For the first time, we combine the air-shower measurements from a 2 km$^2$ surface array consisting of 19 water-Cherenkov surface detectors, spaced at 433 m, with the muon measurements from an array of buried scintillators placed in the same area. Using 15 months of data, collected while the array was still under construction, we derive upper limits to the integral photon flux ranging from 13.3 to 13.8 km$^{-2}$ sr$^{-1}$ yr$^{-1}$ above tens of PeV. We extend the Pierre Auger Observatory photon search program towards lower energies, covering more than three decades of cosmic-ray energy. This work lays the foundation for future diffuse photon searches: with the data from the next 10 years of operation of the Observatory, this limit is expected to improve by a factor of $\sim$20.
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Submitted 7 November, 2025; v1 submitted 4 February, 2025;
originally announced February 2025.
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Large-scale cosmic ray anisotropies with 19 years of data from the Pierre Auger Observatory
Authors:
The Pierre Auger Collaboration,
A. Abdul Halim,
P. Abreu,
M. Aglietta,
I. Allekotte,
K. Almeida Cheminant,
A. Almela,
R. Aloisio,
J. Alvarez-Muñiz,
A. Ambrosone,
J. Ammerman Yebra,
G. A. Anastasi,
L. Anchordoqui,
B. Andrada,
L. Andrade Dourado,
S. Andringa,
L. Apollonio,
C. Aramo,
P. R. Araújo Ferreira,
E. Arnone,
J. C. Arteaga Velázquez,
P. Assis,
G. Avila,
E. Avocone,
A. Bakalova
, et al. (333 additional authors not shown)
Abstract:
Results are presented for the measurement of large-scale anisotropies in the arrival directions of ultra-high-energy cosmic rays detected at the Pierre Auger Observatory during 19 years of operation, prior to AugerPrime, the upgrade of the Observatory. The 3D dipole amplitude and direction are reconstructed above $4\,$EeV in four energy bins. Besides the established dipolar anisotropy in right asc…
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Results are presented for the measurement of large-scale anisotropies in the arrival directions of ultra-high-energy cosmic rays detected at the Pierre Auger Observatory during 19 years of operation, prior to AugerPrime, the upgrade of the Observatory. The 3D dipole amplitude and direction are reconstructed above $4\,$EeV in four energy bins. Besides the established dipolar anisotropy in right ascension above $8\,$EeV, the Fourier amplitude of the $8$ to $16\,$EeV energy bin is now also above the $5σ$ discovery level. No time variation of the dipole moment above $8\,$EeV is found, setting an upper limit to the rate of change of such variations of $0.3\%$ per year at the $95\%$ confidence level. Additionally, the results for the angular power spectrum are shown, demonstrating no other statistically significant multipoles. The results for the equatorial dipole component down to $0.03\,$EeV are presented, using for the first time a data set obtained with a trigger that has been optimized for lower energies. Finally, model predictions are discussed and compared with observations, based on two source emission scenarios obtained in the combined fit of spectrum and composition above $0.6\,$EeV.
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Submitted 23 January, 2025; v1 submitted 9 August, 2024;
originally announced August 2024.
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The distribution of ultra-high-energy cosmic rays along the supergalactic plane measured at the Pierre Auger Observatory
Authors:
The Pierre Auger Collaboration,
A. Abdul Halim,
P. Abreu,
M. Aglietta,
I. Allekotte,
K. Almeida Cheminant,
A. Almela,
R. Aloisio,
J. Alvarez-Muñiz,
J. Ammerman Yebra,
G. A. Anastasi,
L. Anchordoqui,
B. Andrada,
L. Andrade Dourado,
S. Andringa,
L. Apollonio,
C. Aramo,
P. R. Araújo Ferreira,
E. Arnone,
J. C. Arteaga Velázquez,
P. Assis,
G. Avila,
E. Avocone,
A. Bakalova,
F. Barbato
, et al. (342 additional authors not shown)
Abstract:
Ultra-high-energy cosmic rays are known to be mainly of extragalactic origin, and their propagation is limited by energy losses, so their arrival directions are expected to correlate with the large-scale structure of the local Universe. In this work, we investigate the possible presence of intermediate-scale excesses in the flux of the most energetic cosmic rays from the direction of the supergala…
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Ultra-high-energy cosmic rays are known to be mainly of extragalactic origin, and their propagation is limited by energy losses, so their arrival directions are expected to correlate with the large-scale structure of the local Universe. In this work, we investigate the possible presence of intermediate-scale excesses in the flux of the most energetic cosmic rays from the direction of the supergalactic plane region using events with energies above 20 EeV recorded with the surface detector array of the Pierre Auger Observatory up to 31 December 2022, with a total exposure of 135,000 km^2 sr yr. The strongest indication for an excess that we find, with a post-trial significance of 3.1σ, is in the Centaurus region, as in our previous reports, and it extends down to lower energies than previously studied. We do not find any strong hints of excesses from any other region of the supergalactic plane at the same angular scale. In particular, our results do not confirm the reports by the Telescope Array collaboration of excesses from two regions in the Northern Hemisphere at the edge of the field of view of the Pierre Auger Observatory. With a comparable integrated exposure over these regions, our results there are in good agreement with the expectations from an isotropic distribution.
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Submitted 7 November, 2025; v1 submitted 9 July, 2024;
originally announced July 2024.
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Stability of cylinders in $\mathbb{E}(κ,τ)$ homogeneous spaces
Authors:
Antonio Bueno,
Rafael López
Abstract:
We extend the classical Plateau-Rayleigh instability criterion in the $\mathbb{E}(κ,τ)$ spaces. We prove the existence of a positive number $L_0>0$ such that if a truncated circular cylinder of radius $ρ$ in $\mathbb{E}(κ,τ)$ has length $L>L_0$ then it is unstable. This number $L_0$ depends on $κ$, $τ$ and $ρ$. The value $L_0$ is sharp under axially-symmetric variations of the surface. We also ext…
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We extend the classical Plateau-Rayleigh instability criterion in the $\mathbb{E}(κ,τ)$ spaces. We prove the existence of a positive number $L_0>0$ such that if a truncated circular cylinder of radius $ρ$ in $\mathbb{E}(κ,τ)$ has length $L>L_0$ then it is unstable. This number $L_0$ depends on $κ$, $τ$ and $ρ$. The value $L_0$ is sharp under axially-symmetric variations of the surface. We also extend this result for the partitioning problem in $\mathbb{E}(κ,τ)$.
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Submitted 8 July, 2024;
originally announced July 2024.
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On the stability of Killing cylinders in hyperbolic space
Authors:
Antonio Bueno,
Rafael López
Abstract:
In this paper we study the stability of a Killing cylinder in hyperbolic 3-space when regarded as a capillary surface for the partitioning problem. In contrast with the Euclidean case, we consider a variety of totally umbilical support surfaces, including horospheres, totally geodesic planes, equidistant surfaces and round spheres. In all of them, we explicitly compute the Morse index of the corre…
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In this paper we study the stability of a Killing cylinder in hyperbolic 3-space when regarded as a capillary surface for the partitioning problem. In contrast with the Euclidean case, we consider a variety of totally umbilical support surfaces, including horospheres, totally geodesic planes, equidistant surfaces and round spheres. In all of them, we explicitly compute the Morse index of the corresponding eigenvalue problem for the Jacobi operator. We also address the stability of compact pieces of Killing cylinders with Dirichlet boundary conditions when the boundary is formed by two fixed circles, exhibiting an analogous to the Plateau-Rayleigh instability criterion for Killing cylinders in the Euclidean space. Finally, we prove that the Delaunay surfaces can be obtained by bifurcating Killing cylinders supported on geodesic planes.
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Submitted 8 July, 2024;
originally announced July 2024.
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Scintillation Light in SBND: Simulation, Reconstruction, and Expected Performance of the Photon Detection System
Authors:
SBND Collaboration,
P. Abratenko,
R. Acciarri,
C. Adams,
L. Aliaga-Soplin,
O. Alterkait,
R. Alvarez-Garrote,
C. Andreopoulos,
A. Antonakis,
L. Arellano,
J. Asaadi,
W. Badgett,
S. Balasubramanian,
V. Basque,
A. Beever,
B. Behera,
E. Belchior,
M. Betancourt,
A. Bhat,
M. Bishai,
A. Blake,
B. Bogart,
J. Bogenschuetz,
D. Brailsford,
A. Brandt
, et al. (158 additional authors not shown)
Abstract:
SBND is the near detector of the Short-Baseline Neutrino program at Fermilab. Its location near to the Booster Neutrino Beam source and relatively large mass will allow the study of neutrino interactions on argon with unprecedented statistics. This paper describes the expected performance of the SBND photon detection system, using a simulated sample of beam neutrinos and cosmogenic particles. Its…
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SBND is the near detector of the Short-Baseline Neutrino program at Fermilab. Its location near to the Booster Neutrino Beam source and relatively large mass will allow the study of neutrino interactions on argon with unprecedented statistics. This paper describes the expected performance of the SBND photon detection system, using a simulated sample of beam neutrinos and cosmogenic particles. Its design is a dual readout concept combining a system of 120 photomultiplier tubes, used for triggering, with a system of 192 X-ARAPUCA devices, located behind the anode wire planes. Furthermore, covering the cathode plane with highly-reflective panels coated with a wavelength-shifting compound recovers part of the light emitted towards the cathode, where no optical detectors exist. We show how this new design provides a high light yield and a more uniform detection efficiency, an excellent timing resolution and an independent 3D-position reconstruction using only the scintillation light. Finally, the whole reconstruction chain is applied to recover the temporal structure of the beam spill, which is resolved with a resolution on the order of nanoseconds.
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Submitted 11 June, 2024;
originally announced June 2024.
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Search for photons above 10$^{18}$ eV by simultaneously measuring the atmospheric depth and the muon content of air showers at the Pierre Auger Observatory
Authors:
The Pierre Auger Collaboration,
A. Abdul Halim,
P. Abreu,
M. Aglietta,
I. Allekotte,
K. Almeida Cheminant,
A. Almela,
R. Aloisio,
J. Alvarez-Muñiz,
J. Ammerman Yebra,
G. A. Anastasi,
L. Anchordoqui,
B. Andrada,
L. Andrade Dourado,
S. Andringa,
L. Apollonio,
C. Aramo,
P. R. Araújo Ferreira,
E. Arnone,
J. C. Arteaga Velázquez,
P. Assis,
G. Avila,
E. Avocone,
A. Bakalova,
F. Barbato
, et al. (342 additional authors not shown)
Abstract:
The Pierre Auger Observatory is the most sensitive instrument to detect photons with energies above $10^{17}$ eV. It measures extensive air showers generated by ultra high energy cosmic rays using a hybrid technique that exploits the combination of a fluorescence detector with a ground array of particle detectors. The signatures of a photon-induced air shower are a larger atmospheric depth of the…
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The Pierre Auger Observatory is the most sensitive instrument to detect photons with energies above $10^{17}$ eV. It measures extensive air showers generated by ultra high energy cosmic rays using a hybrid technique that exploits the combination of a fluorescence detector with a ground array of particle detectors. The signatures of a photon-induced air shower are a larger atmospheric depth of the shower maximum ($X_{max}$) and a steeper lateral distribution function, along with a lower number of muons with respect to the bulk of hadron-induced cascades. In this work, a new analysis technique in the energy interval between 1 and 30 EeV (1 EeV = $10^{18}$ eV) has been developed by combining the fluorescence detector-based measurement of $X_{max}$ with the specific features of the surface detector signal through a parameter related to the air shower muon content, derived from the universality of the air shower development. No evidence of a statistically significant signal due to photon primaries was found using data collected in about 12 years of operation. Thus, upper bounds to the integral photon flux have been set using a detailed calculation of the detector exposure, in combination with a data-driven background estimation. The derived 95% confidence level upper limits are 0.0403, 0.01113, 0.0035, 0.0023, and 0.0021 km$^{-2}$ sr$^{-1}$ yr$^{-1}$ above 1, 2, 3, 5, and 10 EeV, respectively, leading to the most stringent upper limits on the photon flux in the EeV range. Compared with past results, the upper limits were improved by about 40% for the lowest energy threshold and by a factor 3 above 3 EeV, where no candidates were found and the expected background is negligible. The presented limits can be used to probe the assumptions on chemical composition of ultra-high energy cosmic rays and allow for the constraint of the mass and lifetime phase space of super-heavy dark matter particles.
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Submitted 11 June, 2024;
originally announced June 2024.
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Measurement of the Depth of Maximum of Air-Shower Profiles with energies between $\mathbf{10^{18.5}}$ and $\mathbf{10^{20}}$ eV using the Surface Detector of the Pierre Auger Observatory and Deep Learning
Authors:
The Pierre Auger Collaboration,
A. Abdul Halim,
P. Abreu,
M. Aglietta,
I. Allekotte,
K. Almeida Cheminant,
A. Almela,
R. Aloisio,
J. Alvarez-Muñiz,
J. Ammerman Yebra,
G. A. Anastasi,
L. Anchordoqui,
B. Andrada,
L. Andrade Dourado,
S. Andringa,
L. Apollonio,
C. Aramo,
P. R. Araújo Ferreira,
E. Arnone,
J. C. Arteaga Velázquez,
P. Assis,
G. Avila,
E. Avocone,
A. Bakalova,
F. Barbato
, et al. (342 additional authors not shown)
Abstract:
We report an investigation of the mass composition of cosmic rays with energies from 3 to 100 EeV (1 EeV=$10^{18}$ eV) using the distributions of the depth of shower maximum $X_\mathrm{max}$. The analysis relies on ${\sim}50,000$ events recorded by the Surface Detector of the Pierre Auger Observatory and a deep-learning-based reconstruction algorithm. Above energies of 5 EeV, the data set offers a…
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We report an investigation of the mass composition of cosmic rays with energies from 3 to 100 EeV (1 EeV=$10^{18}$ eV) using the distributions of the depth of shower maximum $X_\mathrm{max}$. The analysis relies on ${\sim}50,000$ events recorded by the Surface Detector of the Pierre Auger Observatory and a deep-learning-based reconstruction algorithm. Above energies of 5 EeV, the data set offers a 10-fold increase in statistics with respect to fluorescence measurements at the Observatory. After cross-calibration using the Fluorescence Detector, this enables the first measurement of the evolution of the mean and the standard deviation of the $X_\mathrm{max}$ distributions up to 100 EeV. Our findings are threefold:
(1.) The evolution of the mean logarithmic mass towards a heavier composition with increasing energy can be confirmed and is extended to 100 EeV.
(2.) The evolution of the fluctuations of $X_\mathrm{max}$ towards a heavier and purer composition with increasing energy can be confirmed with high statistics. We report a rather heavy composition and small fluctuations in $X_\mathrm{max}$ at the highest energies.
(3.) We find indications for a characteristic structure beyond a constant change in the mean logarithmic mass, featuring three breaks that are observed in proximity to the ankle, instep, and suppression features in the energy spectrum.
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Submitted 6 February, 2025; v1 submitted 10 June, 2024;
originally announced June 2024.
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Inference of the Mass Composition of Cosmic Rays with energies from $\mathbf{10^{18.5}}$ to $\mathbf{10^{20}}$ eV using the Pierre Auger Observatory and Deep Learning
Authors:
The Pierre Auger Collaboration,
A. Abdul Halim,
P. Abreu,
M. Aglietta,
I. Allekotte,
K. Almeida Cheminant,
A. Almela,
R. Aloisio,
J. Alvarez-Muñiz,
J. Ammerman Yebra,
G. A. Anastasi,
L. Anchordoqui,
B. Andrada,
L. Andrade Dourado,
S. Andringa,
L. Apollonio,
C. Aramo,
P. R. Araújo Ferreira,
E. Arnone,
J. C. Arteaga Velázquez,
P. Assis,
G. Avila,
E. Avocone,
A. Bakalova,
F. Barbato
, et al. (342 additional authors not shown)
Abstract:
We present measurements of the atmospheric depth of the shower maximum $X_\mathrm{max}$, inferred for the first time on an event-by-event level using the Surface Detector of the Pierre Auger Observatory. Using deep learning, we were able to extend measurements of the $X_\mathrm{max}$ distributions up to energies of 100 EeV ($10^{20}$ eV), not yet revealed by current measurements, providing new ins…
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We present measurements of the atmospheric depth of the shower maximum $X_\mathrm{max}$, inferred for the first time on an event-by-event level using the Surface Detector of the Pierre Auger Observatory. Using deep learning, we were able to extend measurements of the $X_\mathrm{max}$ distributions up to energies of 100 EeV ($10^{20}$ eV), not yet revealed by current measurements, providing new insights into the mass composition of cosmic rays at extreme energies. Gaining a 10-fold increase in statistics compared to the Fluorescence Detector data, we find evidence that the rate of change of the average $X_\mathrm{max}$ with the logarithm of energy features three breaks at $6.5\pm0.6~(\mathrm{stat})\pm1~(\mathrm{sys})$ EeV, $11\pm 2~(\mathrm{stat})\pm1~(\mathrm{sys})$ EeV, and $31\pm5~(\mathrm{stat})\pm3~(\mathrm{sys})$ EeV, in the vicinity to the three prominent features (ankle, instep, suppression) of the cosmic-ray flux. The energy evolution of the mean and standard deviation of the measured $X_\mathrm{max}$ distributions indicates that the mass composition becomes increasingly heavier and purer, thus being incompatible with a large fraction of light nuclei between 50 EeV and 100 EeV.
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Submitted 6 February, 2025; v1 submitted 10 June, 2024;
originally announced June 2024.
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Impact of the Magnetic Horizon on the Interpretation of the Pierre Auger Observatory Spectrum and Composition Data
Authors:
The Pierre Auger Collaboration,
A. Abdul Halim,
P. Abreu,
M. Aglietta,
I. Allekotte,
K. Almeida Cheminant,
A. Almela,
R. Aloisio,
J. Alvarez-Muñiz,
J. Ammerman Yebra,
G. A. Anastasi,
L. Anchordoqui,
B. Andrada,
S. Andringa,
L. Apollonio,
C. Aramo,
P. R. Araújo Ferreira,
E. Arnone,
J. C. Arteaga Velázquez,
P. Assis,
G. Avila,
E. Avocone,
A. Bakalova,
F. Barbato,
A. Bartz Mocellin
, et al. (342 additional authors not shown)
Abstract:
The flux of ultra-high energy cosmic rays reaching Earth above the ankle energy (5 EeV) can be described as a mixture of nuclei injected by extragalactic sources with very hard spectra and a low rigidity cutoff. Extragalactic magnetic fields existing between the Earth and the closest sources can affect the observed CR spectrum by reducing the flux of low-rigidity particles reaching Earth. We perfo…
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The flux of ultra-high energy cosmic rays reaching Earth above the ankle energy (5 EeV) can be described as a mixture of nuclei injected by extragalactic sources with very hard spectra and a low rigidity cutoff. Extragalactic magnetic fields existing between the Earth and the closest sources can affect the observed CR spectrum by reducing the flux of low-rigidity particles reaching Earth. We perform a combined fit of the spectrum and distributions of depth of shower maximum measured with the Pierre Auger Observatory including the effect of this magnetic horizon in the propagation of UHECRs in the intergalactic space. We find that, within a specific range of the various experimental and phenomenological systematics, the magnetic horizon effect can be relevant for turbulent magnetic field strengths in the local neighbourhood of order $B_{\rm rms}\simeq (50-100)\,{\rm nG}\,(20\rm{Mpc}/{d_{\rm s})( 100\,\rm{kpc}/L_{\rm coh}})^{1/2}$, with $d_{\rm s}$ the typical intersource separation and $L_{\rm coh}$ the magnetic field coherence length. When this is the case, the inferred slope of the source spectrum becomes softer and can be closer to the expectations of diffusive shock acceleration, i.e., $\propto E^{-2}$. An additional cosmic-ray population with higher source density and softer spectra, presumably also extragalactic and dominating the cosmic-ray flux at EeV energies, is also required to reproduce the overall spectrum and composition results for all energies down to 0.6~EeV.
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Submitted 1 August, 2024; v1 submitted 4 April, 2024;
originally announced April 2024.
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Invariant $λ$-translators in Lorentz-Minkowski space
Authors:
Antonio Bueno,
Irene Ortiz
Abstract:
Given $λ\in\mathbb{R}$ and $\textbf{v}\in\mathbb{L}^3$, a $λ$-translator with velocity $\textbf{v}$ is an immersed surface in $\mathbb{L}^3$ whose mean curvature satisfies $H=\langle N,\textbf{v}\rangle+λ$, where $N$ is a unit normal vector field. When $λ=0$, we fall into the class of translating solitons of the mean curvature flow. In this paper we study $λ$-translators in $\mathbb{L}^3$ that are…
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Given $λ\in\mathbb{R}$ and $\textbf{v}\in\mathbb{L}^3$, a $λ$-translator with velocity $\textbf{v}$ is an immersed surface in $\mathbb{L}^3$ whose mean curvature satisfies $H=\langle N,\textbf{v}\rangle+λ$, where $N$ is a unit normal vector field. When $λ=0$, we fall into the class of translating solitons of the mean curvature flow. In this paper we study $λ$-translators in $\mathbb{L}^3$ that are invariant under a 1-parameter group of translations and rotations. The former are cylindrical surfaces and explicit parametrizations are found, distinguishing on the causality of both the ruling direction and the $λ$-translators. In the case of rotational $λ$-translators we distinguish between spacelike and timelike rotations and exhibit the qualitative properties of rotational $λ$-translators by analyzing the non-linear autonomous system fulfilled by the coordinate functions of the generating curves.
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Submitted 11 February, 2024;
originally announced February 2024.
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The class of grim reapers in $\mathbb{H}^2\times\mathbb{R}$
Authors:
Antonio Bueno,
Rafael López
Abstract:
We study translators of the mean curvature flow in the product space $\h^2\times\r$. In $\h^2\times\r$ there are three types of translations: vertical translations due to the factor $\r$ and parabolic and hyperbolic translations from $\h^2$. A grim reaper in $\h^2\times\r$ is a translator invariant by a one-parameter group of translations. The variety of translators and translations in…
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We study translators of the mean curvature flow in the product space $\h^2\times\r$. In $\h^2\times\r$ there are three types of translations: vertical translations due to the factor $\r$ and parabolic and hyperbolic translations from $\h^2$. A grim reaper in $\h^2\times\r$ is a translator invariant by a one-parameter group of translations. The variety of translators and translations in $\h^2\times\r$ makes that the family of grim reapers particularly rich. In this paper we give a full classification of the grim reapers of $\h^2\times\r$ with a description of their geometric properties. In some cases, we obtain explicit parametrizations of the surfaces.
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Submitted 15 February, 2024; v1 submitted 8 February, 2024;
originally announced February 2024.
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A new family of translating solitons in hyperbolic space
Authors:
Antonio Bueno,
Rafael López
Abstract:
If $ξ$ is a Killing vector field of the hyperbolic space $\h^3$ whose flow are parabolic isometries, a surface $Σ\subset\h^3$ is a $ξ$-translator if its mean curvature $H$ satisfies $H=\langle N,ξ\rangle$, where $N$ is the unit normal of $Σ$. We classify all $ξ$-translators invariant by a one-parameter group of rotations of $\h^3$, exhibiting the existence of a new family of grim reapers. We use t…
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If $ξ$ is a Killing vector field of the hyperbolic space $\h^3$ whose flow are parabolic isometries, a surface $Σ\subset\h^3$ is a $ξ$-translator if its mean curvature $H$ satisfies $H=\langle N,ξ\rangle$, where $N$ is the unit normal of $Σ$. We classify all $ξ$-translators invariant by a one-parameter group of rotations of $\h^3$, exhibiting the existence of a new family of grim reapers. We use these grim reapers to prove the non-existence of closed $ξ$-translators.
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Submitted 8 February, 2024;
originally announced February 2024.
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Horo-shrinkers in the hyperbolic space
Authors:
Antonio Bueno,
Rafael López
Abstract:
A surface $Σ$ in the hyperbolic space $\h^3$ is called a horo-shrinker if its mean curvature $H$ satisfies $H=\langle N,\partial_z\rangle$, where $(x,y,z)$ are the coordinates of $\h^3$ in the upper half-space model and $N$ is the unit normal of $Σ$. In this paper we study horo-shrinkers invariant by one-parameter groups of isometries of $\h^3$ depending if these isometries are hyperbolic, parabol…
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A surface $Σ$ in the hyperbolic space $\h^3$ is called a horo-shrinker if its mean curvature $H$ satisfies $H=\langle N,\partial_z\rangle$, where $(x,y,z)$ are the coordinates of $\h^3$ in the upper half-space model and $N$ is the unit normal of $Σ$. In this paper we study horo-shrinkers invariant by one-parameter groups of isometries of $\h^3$ depending if these isometries are hyperbolic, parabolic or spherical. We characterize totally geodesic planes as the only horo-shrinkers invariant by a one-parameter group of hyperbolic translations. The grim reapers are defined as the horo-shrinkers invariant by a one-parameter group of parabolic translations. We describe the geometry of the grim reapers proving that they are periodic surfaces. In the last part of the paper, we give a complete classification of horo-shrinkers invariant by spherical rotations, distinguishing if the surfaces intersect or not the rotation axis.
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Submitted 8 February, 2024;
originally announced February 2024.
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Testing Hadronic-Model Predictions of Depth of Maximum of Air-Shower Profiles and Ground-Particle Signals using Hybrid Data of the Pierre Auger Observatory
Authors:
The Pierre Auger Collaboration,
A. Abdul Halim,
P. Abreu,
M. Aglietta,
I. Allekotte,
K. Almeida Cheminant,
A. Almela,
R. Aloisio,
J. Alvarez-Muñiz,
J. Ammerman Yebra,
G. A. Anastasi,
L. Anchordoqui,
B. Andrada,
S. Andringa,
L. Apollonio,
C. Aramo,
P. R. Araújo Ferreira,
E. Arnone,
J. C. Arteaga Velázquez,
P. Assis,
G. Avila,
E. Avocone,
A. Bakalova,
F. Barbato,
A. Bartz Mocellin
, et al. (346 additional authors not shown)
Abstract:
We test the predictions of hadronic interaction models regarding the depth of maximum of air-shower profiles, $X_{max}$, and ground-particle signals in water-Cherenkov detectors at 1000 m from the shower core, $S(1000)$, using the data from the fluorescence and surface detectors of the Pierre Auger Observatory. The test consists in fitting the measured two-dimensional ($S(1000)$, $X_{max}$) distri…
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We test the predictions of hadronic interaction models regarding the depth of maximum of air-shower profiles, $X_{max}$, and ground-particle signals in water-Cherenkov detectors at 1000 m from the shower core, $S(1000)$, using the data from the fluorescence and surface detectors of the Pierre Auger Observatory. The test consists in fitting the measured two-dimensional ($S(1000)$, $X_{max}$) distributions using templates for simulated air showers produced with hadronic interaction models EPOS-LHC, QGSJet II-04, Sibyll 2.3d and leaving the scales of predicted $X_{max}$ and the signals from hadronic component at ground as free fit parameters. The method relies on the assumption that the mass composition remains the same at all zenith angles, while the longitudinal shower development and attenuation of ground signal depend on the mass composition in a correlated way.
The analysis was applied to 2239 events detected by both the fluorescence and surface detectors of the Pierre Auger Observatory with energies between $10^{18.5}$ to $10^{19.0}$ eV and zenith angles below $60^\circ$. We found, that within the assumptions of the method, the best description of the data is achieved if the predictions of the hadronic interaction models are shifted to deeper $X_{max}$ values and larger hadronic signals at all zenith angles. Given the magnitude of the shifts and the data sample size, the statistical significance of the improvement of data description using the modifications considered in the paper is larger than $5σ$ even for any linear combination of experimental systematic uncertainties.
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Submitted 3 May, 2024; v1 submitted 19 January, 2024;
originally announced January 2024.
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Constraints on metastable superheavy dark matter coupled to sterile neutrinos with the Pierre Auger Observatory
Authors:
The Pierre Auger Collaboration,
A. Abdul Halim,
P. Abreu,
M. Aglietta,
I. Allekotte,
K. Almeida Cheminant,
A. Almela,
R. Aloisio,
J. Alvarez-Muñiz,
J. Ammerman Yebra,
G. A. Anastasi,
L. Anchordoqui,
B. Andrada,
S. Andringa,
L. Apollonio,
C. Aramo,
P. R. Araújo Ferreira,
E. Arnone,
J. C. Arteaga Velázquez,
P. Assis,
G. Avila,
E. Avocone,
A. Bakalova,
F. Barbato,
A. Bartz Mocellin
, et al. (346 additional authors not shown)
Abstract:
Dark matter particles could be superheavy, provided their lifetime is much longer than the age of the universe. Using the sensitivity of the Pierre Auger Observatory to ultra-high energy neutrinos and photons, we constrain a specific extension of the Standard Model of particle physics that meets the lifetime requirement for a superheavy particle by coupling it to a sector of ultra-light sterile ne…
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Dark matter particles could be superheavy, provided their lifetime is much longer than the age of the universe. Using the sensitivity of the Pierre Auger Observatory to ultra-high energy neutrinos and photons, we constrain a specific extension of the Standard Model of particle physics that meets the lifetime requirement for a superheavy particle by coupling it to a sector of ultra-light sterile neutrinos. Our results show that, for a typical dark coupling constant of 0.1, the mixing angle $θ_m$ between active and sterile neutrinos must satisfy, roughly, $θ_m \lesssim 1.5\times 10^{-6}(M_X/10^9~\mathrm{GeV})^{-2}$ for a mass $M_X$ of the dark-matter particle between $10^8$ and $10^{11}~$GeV.
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Submitted 14 March, 2024; v1 submitted 24 November, 2023;
originally announced November 2023.
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Radio Measurements of the Depth of Air-Shower Maximum at the Pierre Auger Observatory
Authors:
The Pierre Auger Collaboration,
A. Abdul Halim,
P. Abreu,
M. Aglietta,
I. Allekotte,
K. Almeida Cheminant,
A. Almela,
R. Aloisio,
J. Alvarez-Muñiz,
J. Ammerman Yebra,
G. A. Anastasi,
L. Anchordoqui,
B. Andrada,
S. Andringa,
Anukriti,
L. Apollonio,
C. Aramo,
P. R. Araújo Ferreira,
E. Arnone,
J. C. Arteaga Velázquez,
P. Assis,
G. Avila,
E. Avocone,
A. Bakalova,
F. Barbato
, et al. (350 additional authors not shown)
Abstract:
The Auger Engineering Radio Array (AERA), part of the Pierre Auger Observatory, is currently the largest array of radio antenna stations deployed for the detection of cosmic rays, spanning an area of $17$ km$^2$ with 153 radio stations. It detects the radio emission of extensive air showers produced by cosmic rays in the $30-80$ MHz band. Here, we report the AERA measurements of the depth of the s…
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The Auger Engineering Radio Array (AERA), part of the Pierre Auger Observatory, is currently the largest array of radio antenna stations deployed for the detection of cosmic rays, spanning an area of $17$ km$^2$ with 153 radio stations. It detects the radio emission of extensive air showers produced by cosmic rays in the $30-80$ MHz band. Here, we report the AERA measurements of the depth of the shower maximum ($X_\text{max}$), a probe for mass composition, at cosmic-ray energies between $10^{17.5}$ to $10^{18.8}$ eV, which show agreement with earlier measurements with the fluorescence technique at the Pierre Auger Observatory. We show advancements in the method for radio $X_\text{max}$ reconstruction by comparison to dedicated sets of CORSIKA/CoREAS air-shower simulations, including steps of reconstruction-bias identification and correction, which is of particular importance for irregular or sparse radio arrays. Using the largest set of radio air-shower measurements to date, we show the radio $X_\text{max}$ resolution as a function of energy, reaching a resolution better than $15$ g cm$^{-2}$ at the highest energies, demonstrating that radio $X_\text{max}$ measurements are competitive with the established high-precision fluorescence technique. In addition, we developed a procedure for performing an extensive data-driven study of systematic uncertainties, including the effects of acceptance bias, reconstruction bias, and the investigation of possible residual biases. These results have been cross-checked with air showers measured independently with both the radio and fluorescence techniques, a setup unique to the Pierre Auger Observatory.
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Submitted 6 November, 2025; v1 submitted 30 October, 2023;
originally announced October 2023.
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Demonstrating Agreement between Radio and Fluorescence Measurements of the Depth of Maximum of Extensive Air Showers at the Pierre Auger Observatory
Authors:
The Pierre Auger Collaboration,
A. Abdul Halim,
P. Abreu,
M. Aglietta,
I. Allekotte,
K. Almeida Cheminant,
A. Almela,
R. Aloisio,
J. Alvarez-Muñiz,
J. Ammerman Yebra,
G. A. Anastasi,
L. Anchordoqui,
B. Andrada,
S. Andringa,
Anukriti,
L. Apollonio,
C. Aramo,
P. R. Araújo Ferreira,
E. Arnone,
J. C. Arteaga Velázquez,
P. Assis,
G. Avila,
E. Avocone,
A. Bakalova,
F. Barbato
, et al. (350 additional authors not shown)
Abstract:
We show, for the first time, radio measurements of the depth of shower maximum ($X_\text{max}$) of air showers induced by cosmic rays that are compared to measurements of the established fluorescence method at the same location. Using measurements at the Pierre Auger Observatory we show full compatibility between our radio and the previously published fluorescence data set, and between a subset of…
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We show, for the first time, radio measurements of the depth of shower maximum ($X_\text{max}$) of air showers induced by cosmic rays that are compared to measurements of the established fluorescence method at the same location. Using measurements at the Pierre Auger Observatory we show full compatibility between our radio and the previously published fluorescence data set, and between a subset of air showers observed simultaneously with both radio and fluorescence techniques, a measurement setup unique to the Pierre Auger Observatory. Furthermore, we show radio $X_\text{max}$ resolution as a function of energy and demonstrate the ability to make competitive high-resolution $X_\text{max}$ measurements with even a sparse radio array. With this, we show that the radio technique is capable of cosmic-ray mass composition studies, both at Auger and at other experiments.
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Submitted 6 November, 2025; v1 submitted 30 October, 2023;
originally announced October 2023.
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Ground observations of a space laser for the assessment of its in-orbit performance
Authors:
The Pierre Auger Collaboration,
O. Lux,
I. Krisch,
O. Reitebuch,
D. Huber,
D. Wernham,
T. Parrinello,
:,
A. Abdul Halim,
P. Abreu,
M. Aglietta,
I. Allekotte,
K. Almeida Cheminant,
A. Almela,
R. Aloisio,
J. Alvarez-Muñiz,
J. Ammerman Yebra,
G. A. Anastasi,
L. Anchordoqui,
B. Andrada,
S. Andringa,
Anukriti,
L. Apollonio,
C. Aramo,
P. R. Araújo Ferreira
, et al. (358 additional authors not shown)
Abstract:
The wind mission Aeolus of the European Space Agency was a groundbreaking achievement for Earth observation. Between 2018 and 2023, the space-borne lidar instrument ALADIN onboard the Aeolus satellite measured atmospheric wind profiles with global coverage which contributed to improving the accuracy of numerical weather prediction. The precision of the wind observations, however, declined over the…
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The wind mission Aeolus of the European Space Agency was a groundbreaking achievement for Earth observation. Between 2018 and 2023, the space-borne lidar instrument ALADIN onboard the Aeolus satellite measured atmospheric wind profiles with global coverage which contributed to improving the accuracy of numerical weather prediction. The precision of the wind observations, however, declined over the course of the mission due to a progressive loss of the atmospheric backscatter signal. The analysis of the root cause was supported by the Pierre Auger Observatory in Argentina whose fluorescence detector registered the ultraviolet laser pulses emitted from the instrument in space, thereby offering an estimation of the laser energy at the exit of the instrument for several days in 2019, 2020 and 2021. The reconstruction of the laser beam not only allowed for an independent assessment of the Aeolus performance, but also helped to improve the accuracy in the determination of the laser beam's ground track on single pulse level. The results presented in this paper set a precedent for the monitoring of space lasers by ground-based telescopes and open new possibilities for the calibration of cosmic-ray observatories.
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Submitted 12 October, 2023;
originally announced October 2023.
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The Pierre Auger Observatory Open Data
Authors:
The Pierre Auger Collaboration,
A. Abdul Halim,
P. Abreu,
M. Aglietta,
I. Allekotte,
K. Almeida Cheminant,
A. Almela,
R. Aloisio,
J. Alvarez-Muñiz,
J. Ammerman Yebra,
G. A. Anastasi,
L. Anchordoqui,
B. Andrada,
L. Andrade Dourado,
S. Andringa,
L. Apollonio,
C. Aramo,
P. R. Araújo Ferreira,
E. Arnone,
J. C. Arteaga Velázquez,
P. Assis,
G. Avila,
E. Avocone,
A. Bakalova,
F. Barbato
, et al. (336 additional authors not shown)
Abstract:
The Pierre Auger Collaboration has embraced the concept of open access to their research data since its foundation, with the aim of giving access to the widest possible community. A gradual process of release began as early as 2007 when 1% of the cosmic-ray data was made public, along with 100% of the space-weather information. In February 2021, a portal was released containing 10% of cosmic-ray d…
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The Pierre Auger Collaboration has embraced the concept of open access to their research data since its foundation, with the aim of giving access to the widest possible community. A gradual process of release began as early as 2007 when 1% of the cosmic-ray data was made public, along with 100% of the space-weather information. In February 2021, a portal was released containing 10% of cosmic-ray data collected from 2004 to 2018, during Phase I of the Observatory. The Portal included detailed documentation about the detection and reconstruction procedures, analysis codes that can be easily used and modified and, additionally, visualization tools. Since then the Portal has been updated and extended. In 2023, a catalog of the 100 highest-energy cosmic-ray events examined in depth has been included. A specific section dedicated to educational use has been developed with the expectation that these data will be explored by a wide and diverse community including professional and citizen-scientists, and used for educational and outreach initiatives. This paper describes the context, the spirit and the technical implementation of the release of data by the largest cosmic-ray detector ever built, and anticipates its future developments.
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Submitted 7 November, 2024; v1 submitted 28 September, 2023;
originally announced September 2023.
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AugerPrime Surface Detector Electronics
Authors:
The Pierre Auger Collaboration,
A. Abdul Halim,
P. Abreu,
M. Aglietta,
I. Allekotte,
K. Almeida Cheminant,
A. Almela,
R. Aloisio,
J. Alvarez-Muñiz,
J. Ammerman Yebra,
G. A. Anastasi,
L. Anchordoqui,
B. Andrada,
S. Andringa,
Anukriti,
C. Aramo,
P. R. Araújo Ferreira,
E. Arnone,
J. C. Arteaga Velázquez,
P. Assis,
G. Avila,
E. Avocone,
A. M. Badescu,
A. Bakalova,
F. Barbato
, et al. (346 additional authors not shown)
Abstract:
Operating since 2004, the Pierre Auger Observatory has led to major advances in our understanding of the ultra-high-energy cosmic rays. The latest findings have revealed new insights that led to the upgrade of the Observatory, with the primary goal of obtaining information on the primary mass of the most energetic cosmic rays on a shower-by-shower basis. In the framework of the upgrade, called Aug…
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Operating since 2004, the Pierre Auger Observatory has led to major advances in our understanding of the ultra-high-energy cosmic rays. The latest findings have revealed new insights that led to the upgrade of the Observatory, with the primary goal of obtaining information on the primary mass of the most energetic cosmic rays on a shower-by-shower basis. In the framework of the upgrade, called AugerPrime, the 1660 water-Cherenkov detectors of the surface array are equipped with plastic scintillators and radio antennas, allowing us to enhance the composition sensitivity. To accommodate new detectors and to increase experimental capabilities, the electronics is also upgraded. This includes better timing with up-to-date GPS receivers, higher sampling frequency, increased dynamic range, and more powerful local processing of the data. In this paper, the design characteristics of the new electronics and the enhanced dynamic range will be described. The manufacturing and test processes will be outlined and the test results will be discussed. The calibration of the SD detector and various performance parameters obtained from the analysis of the first commissioning data will also be presented.
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Submitted 8 October, 2023; v1 submitted 12 September, 2023;
originally announced September 2023.
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Search for UHE Photons from Gravitational Wave Sources with the Pierre Auger Observatory
Authors:
The Pierre Auger Collaboration,
A. Abdul Halim,
P. Abreu,
M. Aglietta,
I. Allekotte,
K. Almeida Cheminant,
A. Almela,
J. Alvarez-Muñiz,
J. Ammerman Yebra,
G. A. Anastasi,
L. Anchordoqui,
B. Andrada,
S. Andringa,
C. Aramo,
P. R. Araújo Ferreira,
E. Arnone,
J. C. Arteaga Velázquez,
H. Asorey,
P. Assis,
G. Avila,
E. Avocone,
A. M. Badescu,
A. Bakalova,
A. Balaceanu,
F. Barbato
, et al. (346 additional authors not shown)
Abstract:
A search for time-directional coincidences of ultra-high-energy (UHE) photons above 10 EeV with gravitational wave (GW) events from the LIGO/Virgo runs O1 to O3 is conducted with the Pierre Auger Observatory. Due to the distinctive properties of photon interactions and to the background expected from hadronic showers, a subset of the most interesting GW events is selected based on their localizati…
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A search for time-directional coincidences of ultra-high-energy (UHE) photons above 10 EeV with gravitational wave (GW) events from the LIGO/Virgo runs O1 to O3 is conducted with the Pierre Auger Observatory. Due to the distinctive properties of photon interactions and to the background expected from hadronic showers, a subset of the most interesting GW events is selected based on their localization quality and distance. Time periods of 1000 s around and 1 day after the GW events are analyzed. No coincidences are observed. Upper limits on the UHE photon fluence from a GW event are derived that are typically at $\sim$7 MeV cm$^{-2}$ (time period 1000~s) and $\sim$35 MeV cm$^{-2}$ (time period 1 day). Due to the proximity of the binary neutron star merger GW170817, the energy of the source transferred into UHE photons above 40 EeV is constrained to be less than 20% of its total gravitational wave energy. These are the first limits on UHE photons from GW sources.
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Submitted 20 July, 2023;
originally announced July 2023.
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Constraining models for the origin of ultra-high-energy cosmic rays with a novel combined analysis of arrival directions, spectrum, and composition data measured at the Pierre Auger Observatory
Authors:
The Pierre Auger Collaboration,
A. Abdul Halim,
P. Abreu,
M. Aglietta,
I. Allekotte,
K. Almeida Cheminant,
A. Almela,
R. Aloisio,
J. Alvarez-Muñiz,
J. Ammerman Yebra,
G. A. Anastasi,
L. Anchordoqui,
B. Andrada,
S. Andringa,
C. Aramo,
P. R. Araújo Ferreira,
E. Arnone,
J. C. Arteaga Velázquez,
H. Asorey,
P. Assis,
G. Avila,
E. Avocone,
A. M. Badescu,
A. Bakalova,
A. Balaceanu
, et al. (349 additional authors not shown)
Abstract:
The combined fit of the measured energy spectrum and shower maximum depth distributions of ultra-high-energy cosmic rays is known to constrain the parameters of astrophysical models with homogeneous source distributions. Studies of the distribution of the cosmic-ray arrival directions show a better agreement with models in which a fraction of the flux is non-isotropic and associated with the nearb…
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The combined fit of the measured energy spectrum and shower maximum depth distributions of ultra-high-energy cosmic rays is known to constrain the parameters of astrophysical models with homogeneous source distributions. Studies of the distribution of the cosmic-ray arrival directions show a better agreement with models in which a fraction of the flux is non-isotropic and associated with the nearby radio galaxy Centaurus A or with catalogs such as that of starburst galaxies. Here, we present a novel combination of both analyses by a simultaneous fit of arrival directions, energy spectrum, and composition data measured at the Pierre Auger Observatory.
We find that a model containing a flux contribution from the starburst galaxy catalog of around 20% at 40 EeV with a magnetic field blurring of around $20^\circ$ for a rigidity of 10 EV provides a fair simultaneous description of all three observables. The starburst galaxy model is favored with a significance of $4.5σ$ (considering experimental systematic effects) compared to a reference model with only homogeneously distributed background sources. By investigating a scenario with Centaurus A as a single source in combination with the homogeneous background, we confirm that this region of the sky provides the dominant contribution to the observed anisotropy signal. Models containing a catalog of jetted active galactic nuclei whose flux scales with the $γ$-ray emission are, however, disfavored as they cannot adequately describe the measured arrival directions.
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Submitted 14 January, 2024; v1 submitted 26 May, 2023;
originally announced May 2023.
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Compact surfaces with boundary with prescribed mean curvature depending on the Gauss map
Authors:
Antonio Bueno,
Rafael López
Abstract:
Given a $C^1$ function $\mathcal{H}$ defined in the unit sphere $\mathbb{S}^2$, an $\mathcal{H}$-surface $M$ is a surface in the Euclidean space $\mathbb{R}^3$ whose mean curvature $H_M$ satisfies $H_M(p)=\mathcal{H}(N_p)$, $p\in M$, where $N$ is the Gauss map of $M$. Given a closed simple curve $Γ\subset\mathbb{R}^3$ and a function $\mathcal{H}$, in this paper we investigate the geometry of compa…
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Given a $C^1$ function $\mathcal{H}$ defined in the unit sphere $\mathbb{S}^2$, an $\mathcal{H}$-surface $M$ is a surface in the Euclidean space $\mathbb{R}^3$ whose mean curvature $H_M$ satisfies $H_M(p)=\mathcal{H}(N_p)$, $p\in M$, where $N$ is the Gauss map of $M$. Given a closed simple curve $Γ\subset\mathbb{R}^3$ and a function $\mathcal{H}$, in this paper we investigate the geometry of compact $\mathcal{H}$-surfaces spanning $Γ$ in terms of $Γ$. Under mild assumptions on $\mathcal{H}$, we prove non-existence of closed $\mathcal{H}$-surfaces, in contrast with the classical case of constant mean curvature. We give conditions on $\mathcal{H}$ that ensure that if $Γ$ is a circle, then $M$ is a rotational surface. We also establish the existence of estimates of the area of $\mathcal{H}$-surfaces in terms of the height of the surface.
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Submitted 3 February, 2023;
originally announced February 2023.
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The Plateau-Rayleigh instability of translating $λ$-solitons
Authors:
Antonio Bueno,
Rafael López,
Irene Ortiz
Abstract:
Given a unit vector $\textbf{v}\in\mathbb{R}^3$ and $λ\in\mathbb{R}$, a translating $λ$-soliton is a surface in $\mathbb{R}^3$ whose mean curvature $H$ satisfies $H=\langle N,\textbf{v}\rangle+λ,\ |\textbf{v}|=1$, where $N$ is the Gauss map of the surface. In this paper, we extend the phenomenon of instability of Plateau-Rayleigh for translating $λ$-solitons of cylindrical type, proving that long…
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Given a unit vector $\textbf{v}\in\mathbb{R}^3$ and $λ\in\mathbb{R}$, a translating $λ$-soliton is a surface in $\mathbb{R}^3$ whose mean curvature $H$ satisfies $H=\langle N,\textbf{v}\rangle+λ,\ |\textbf{v}|=1$, where $N$ is the Gauss map of the surface. In this paper, we extend the phenomenon of instability of Plateau-Rayleigh for translating $λ$-solitons of cylindrical type, proving that long pieces of these surfaces are unstable. We will provide explicit bounds on the length of these surfaces. It will be also proved that if a translating $λ$-soliton is a graph, then it is a minimizer of the weighted area in a suitable class of surfaces with the same boundary and the same weighted volume.
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Submitted 15 January, 2023;
originally announced January 2023.
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A Catalog of the Highest-Energy Cosmic Rays Recorded During Phase I of Operation of the Pierre Auger Observatory
Authors:
The Pierre Auger Collaboration,
A. Abdul Halim,
P. Abreu,
M. Aglietta,
I. Allekotte,
P. Allison,
K. Almeida Cheminant,
A. Almela,
J. Alvarez-Muñiz,
J. Ammerman Yebra,
G. A. Anastasi,
L. Anchordoqui,
B. Andrada,
S. Andringa,
C. Aramo,
P. R. Araújo Ferreira,
E. Arnone,
J. C. Arteaga Velázquez,
H. Asorey,
P. Assis,
M. Ave,
G. Avila,
E. Avocone,
A. M. Badescu,
A. Bakalova
, et al. (354 additional authors not shown)
Abstract:
A catalog containing details of the highest-energy cosmic rays recorded through the detection of extensive air-showers at the Pierre Auger Observatory is presented with the aim of opening the data to detailed examination. Descriptions of the 100 showers created by the highest-energy particles recorded between 1 January 2004 and 31 December 2020 are given for cosmic rays that have energies in the r…
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A catalog containing details of the highest-energy cosmic rays recorded through the detection of extensive air-showers at the Pierre Auger Observatory is presented with the aim of opening the data to detailed examination. Descriptions of the 100 showers created by the highest-energy particles recorded between 1 January 2004 and 31 December 2020 are given for cosmic rays that have energies in the range 78 EeV to 166 EeV. Details are also given of a further nine very-energetic events that have been used in the calibration procedure adopted to determine the energy of each primary. A sky plot of the arrival directions of the most energetic particles is shown. No interpretations of the data are offered.
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Submitted 29 November, 2022;
originally announced November 2022.
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Constraining the sources of ultra-high-energy cosmic rays across and above the ankle with the spectrum and composition data measured at the Pierre Auger Observatory
Authors:
The Pierre Auger Collaboration,
A. Abdul Halim,
P. Abreu,
M. Aglietta,
I. Allekotte,
K. Almeida Cheminant,
A. Almela,
J. Alvarez-Muñiz,
J. Ammerman Yebra,
G. A. Anastasi,
L. Anchordoqui,
B. Andrada,
S. Andringa,
C. Aramo,
P. R. Araújo Ferreira,
E. Arnone,
J. C. Arteaga Velázquez,
H. Asorey,
P. Assis,
G. Avila,
E. Avocone,
A. M. Badescu,
A. Bakalova,
A. Balaceanu,
F. Barbato
, et al. (343 additional authors not shown)
Abstract:
In this work we present the interpretation of the energy spectrum and mass composition data as measured by the Pierre Auger Collaboration above $6 \times 10^{17}$ eV. We use an astrophysical model with two extragalactic source populations to model the hardening of the cosmic-ray flux at around $5\times 10^{18}$ eV (the so-called "ankle" feature) as a transition between these two components. We fin…
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In this work we present the interpretation of the energy spectrum and mass composition data as measured by the Pierre Auger Collaboration above $6 \times 10^{17}$ eV. We use an astrophysical model with two extragalactic source populations to model the hardening of the cosmic-ray flux at around $5\times 10^{18}$ eV (the so-called "ankle" feature) as a transition between these two components. We find our data to be well reproduced if sources above the ankle emit a mixed composition with a hard spectrum and a low rigidity cutoff. The component below the ankle is required to have a very soft spectrum and a mix of protons and intermediate-mass nuclei. The origin of this intermediate-mass component is not well constrained and it could originate from either Galactic or extragalactic sources. To the aim of evaluating our capability to constrain astrophysical models, we discuss the impact on the fit results of the main experimental systematic uncertainties and of the assumptions about quantities affecting the air shower development as well as the propagation and redshift distribution of injected ultra-high-energy cosmic rays (UHECRs).
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Submitted 17 April, 2023; v1 submitted 5 November, 2022;
originally announced November 2022.
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Searches for Ultra-High-Energy Photons at the Pierre Auger Observatory
Authors:
The Pierre Auger Collaboration,
P. Abreu,
M. Aglietta,
I. Allekotte,
K. Almeida Cheminant,
A. Almela,
J. Alvarez-Muñiz,
J. Ammerman Yebra,
G. A. Anastasi,
L. Anchordoqui,
B. Andrada,
S. Andringa,
C. Aramo,
P. R. Araújo Ferreira,
E. Arnone,
J. C. Arteaga Velázquez,
H. Asorey,
P. Assis,
G. Avila,
E. Avocone,
A. M. Badescu,
A. Bakalova,
A. Balaceanu,
F. Barbato,
J. A. Bellido
, et al. (340 additional authors not shown)
Abstract:
The Pierre Auger Observatory, being the largest air-shower experiment in the world, offers an unprecedented exposure to neutral particles at the highest energies. Since the start of data taking more than 18 years ago, various searches for ultra-high-energy (UHE, $E\gtrsim10^{17}\,\text{eV}$) photons have been performed: either for a diffuse flux of UHE photons, for point sources of UHE photons or…
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The Pierre Auger Observatory, being the largest air-shower experiment in the world, offers an unprecedented exposure to neutral particles at the highest energies. Since the start of data taking more than 18 years ago, various searches for ultra-high-energy (UHE, $E\gtrsim10^{17}\,\text{eV}$) photons have been performed: either for a diffuse flux of UHE photons, for point sources of UHE photons or for UHE photons associated with transient events like gravitational wave events. In the present paper, we summarize these searches and review the current results obtained using the wealth of data collected by the Pierre Auger Observatory.
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Submitted 24 October, 2022;
originally announced October 2022.
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Search for photons above 10$^{19}$ eV with the surface detector of the Pierre Auger Observatory
Authors:
The Pierre Auger Collaboration,
P. Abreu,
M. Aglietta,
I. Allekotte,
K. Almeida Cheminant,
A. Almela,
J. Alvarez-Muñiz,
J. Ammerman Yebra,
G. A. Anastasi,
L. Anchordoqui,
B. Andrada,
S. Andringa,
C. Aramo,
P. R. Araújo Ferreira,
E. Arnone,
J. C. Arteaga Velázquez,
H. Asorey,
P. Assis,
G. Avila,
E. Avocone,
A. M. Badescu,
A. Bakalova,
A. Balaceanu,
F. Barbato,
J. A. Bellido
, et al. (343 additional authors not shown)
Abstract:
We use the surface detector of the Pierre Auger Observatory to search for air showers initiated by photons with an energy above $10^{19}$ eV. Photons in the zenith angle range from 30$^\circ$ to 60$^\circ$ can be identified in the overwhelming background of showers initiated by charged cosmic rays through the broader time structure of the signals induced in the water-Cherenkov detectors of the arr…
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We use the surface detector of the Pierre Auger Observatory to search for air showers initiated by photons with an energy above $10^{19}$ eV. Photons in the zenith angle range from 30$^\circ$ to 60$^\circ$ can be identified in the overwhelming background of showers initiated by charged cosmic rays through the broader time structure of the signals induced in the water-Cherenkov detectors of the array and the steeper lateral distribution of shower particles reaching ground. Applying the search method to data collected between January 2004 and June 2020, upper limits at 95\% CL are set to an $E^{-2}$ diffuse flux of ultra-high energy photons above $10^{19}$ eV, $2{\times}10^{19}$ eV and $4{\times}10^{19}$ eV amounting to $2.11{\times}10^{-3}$, $3.12{\times}10^{-4}$ and $1.72{\times}10^{-4}$ km$^{-2}$ sr$^{-1}$ yr$^{-1}$, respectively. While the sensitivity of the present search around $2 \times 10^{19}$ eV approaches expectations of cosmogenic photon fluxes in the case of a pure-proton composition, it is one order of magnitude above those from more realistic mixed-composition models. The inferred limits have also implications for the search of super-heavy dark matter that are discussed and illustrated.
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Submitted 4 April, 2023; v1 submitted 13 September, 2022;
originally announced September 2022.
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Cosmological implications of photon-flux upper limits at ultra-high energies in scenarios of Planckian-interacting massive particles for dark matter
Authors:
The Pierre Auger Collaboration,
P. Abreu,
M. Aglietta,
J. M. Albury,
I. Allekotte,
K. Almeida Cheminant,
A. Almela,
J. Alvarez-Muñiz,
R. Alves Batista,
J. Ammerman Yebra,
G. A. Anastasi,
L. Anchordoqui,
B. Andrada,
S. Andringa,
C. Aramo,
P. R. Araújo Ferreira,
E. Arnone,
J. C. Arteaga Velázquez,
H. Asorey,
P. Assis,
G. Avila,
E. Avocone,
A. M. Badescu,
A. Bakalova,
A. Balaceanu
, et al. (352 additional authors not shown)
Abstract:
Using the data of the Pierre Auger Observatory, we report on a search for signatures that would be suggestive of super-heavy particles decaying in the Galactic halo. From the lack of signal, we present upper limits for different energy thresholds above ${\gtrsim}10^8$\,GeV on the secondary by-product fluxes expected from the decay of the particles. Assuming that the energy density of these super-h…
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Using the data of the Pierre Auger Observatory, we report on a search for signatures that would be suggestive of super-heavy particles decaying in the Galactic halo. From the lack of signal, we present upper limits for different energy thresholds above ${\gtrsim}10^8$\,GeV on the secondary by-product fluxes expected from the decay of the particles. Assuming that the energy density of these super-heavy particles matches that of dark matter observed today, we translate the upper bounds on the particle fluxes into tight constraints on the couplings governing the decay process as a function of the particle mass. Instantons, which are non-perturbative solutions to Yang-Mills equations, can give rise to decay channels otherwise forbidden and transform stable particles into meta-stable ones. Assuming such instanton-induced decay processes, we derive a bound on the reduced coupling constant of gauge interactions in the dark sector: $α_X \lesssim 0.09$, for $10^{9} \lesssim M_X/\text{GeV} < 10^{19}$. Conversely, we obtain that, for instance, a reduced coupling constant $α_X = 0.09$ excludes masses $M_X \gtrsim 3\times 10^{13}~$GeV. In the context of dark matter production from gravitational interactions alone during the reheating epoch, we derive constraints on the parameter space that involves, in addition to $M_X$ and $α_X$, the Hubble rate at the end of inflation, the reheating efficiency, and the non-minimal coupling of the Higgs with curvature.
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Submitted 15 December, 2022; v1 submitted 3 August, 2022;
originally announced August 2022.
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Arrival Directions of Cosmic Rays above 32 EeV from Phase One of the Pierre Auger Observatory
Authors:
The Pierre Auger Collaboration,
P. Abreu,
M. Aglietta,
J. M. Albury,
I. Allekotte,
K. Almeida Cheminant,
A. Almela,
J. Alvarez-Muñiz,
R. Alves Batista,
J. Ammerman Yebra,
G. A. Anastasi,
L. Anchordoqui,
B. Andrada,
S. Andringa,
C. Aramo,
P. R. Araújo Ferreira,
E. Arnone,
J. C. Arteaga Velázquez,
H. Asorey,
P. Assis,
G. Avila,
E. Avocone,
A. M. Badescu,
A. Bakalova,
A. Balaceanu
, et al. (350 additional authors not shown)
Abstract:
A promising energy range to look for angular correlation between cosmic rays of extragalactic origin and their sources is at the highest energies, above few tens of EeV ($1\:{\rm EeV}\equiv 10^{18}\:$eV). Despite the flux of these particles being extremely low, the area of ${\sim}\:3{,}000 \: \text{km}^2$ covered at the Pierre Auger Observatory, and the 17-year data-taking period of the Phase 1 of…
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A promising energy range to look for angular correlation between cosmic rays of extragalactic origin and their sources is at the highest energies, above few tens of EeV ($1\:{\rm EeV}\equiv 10^{18}\:$eV). Despite the flux of these particles being extremely low, the area of ${\sim}\:3{,}000 \: \text{km}^2$ covered at the Pierre Auger Observatory, and the 17-year data-taking period of the Phase 1 of its operations, have enabled us to measure the arrival directions of more than 2,600 ultra-high energy cosmic rays above $32\:\text{EeV}$. We publish this data set, the largest available at such energies from an integrated exposure of $122{,}000 \: \text{km}^2\:\text{sr}\:\text{yr}$, and search it for anisotropies over the $3.4π$ steradians covered with the Observatory. Evidence for a deviation in excess of isotropy at intermediate angular scale, with ${\sim}\:15^\circ$ Gaussian spread or ${\sim}\:25^\circ$ top-hat radius, is obtained at the $4\:σ$ significance level for cosmic-ray energies above ${\sim}\:40\:\text{EeV}$.
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Submitted 5 September, 2022; v1 submitted 27 June, 2022;
originally announced June 2022.
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Investigating Hadronic Interactions at Ultra-High Energies with the Pierre Auger Observatory
Authors:
Isabel Goos,
:,
P. Abreu,
M. Aglietta,
J. M. Albury,
I. Allekotte,
K. Almeida Cheminant,
A. Almela,
J. Alvarez-Muñiz,
R. Alves Batista,
J. Ammerman Yebra,
G. A. Anastasi,
L. Anchordoqui,
B. Andrada,
S. Andringa,
C. Aramo,
P. R. Araújo Ferreira,
E. Arnone,
J. C. Arteaga Velázquez,
H. Asorey,
P. Assis,
G. Avila,
E. Avocone,
A. M. Badescu,
A. Bakalova
, et al. (352 additional authors not shown)
Abstract:
The development of an extensive air shower depends not only on the nature of the primary ultra-high-energy cosmic ray but also on the properties of the hadronic interactions. For energies above those achievable in human-made accelerators, hadronic interactions are only accessible through the studies of extensive air showers, which can be measured at the Pierre Auger Observatory. With its hybrid de…
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The development of an extensive air shower depends not only on the nature of the primary ultra-high-energy cosmic ray but also on the properties of the hadronic interactions. For energies above those achievable in human-made accelerators, hadronic interactions are only accessible through the studies of extensive air showers, which can be measured at the Pierre Auger Observatory. With its hybrid detector design, the Pierre Auger Observatory measures both the longitudinal development of showers in the atmosphere and the lateral distribution of particles that arrive at the ground. This way, observables that are sensitive to hadronic interactions at ultra-high energies can be obtained. While the hadronic interaction cross-section can be assessed from the longitudinal profiles, the number of muons and their fluctuations measured with the ground detectors are linked to other physical properties. In addition to these direct studies, we discuss here how measurements of the atmospheric depth of the maximum of air-shower profiles and the characteristics of the muon signal at the ground can be used to test the self-consistency of the post-LHC hadronic models.
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Submitted 22 June, 2022;
originally announced June 2022.
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A search for photons with energies above $2{\times}10^{17}$ eV using hybrid data from the low-energy extensions of the Pierre Auger Observatory
Authors:
The Pierre Auger Collaboration,
P. Abreu,
M. Aglietta,
J. M. Albury,
I. Allekotte,
K. Almeida Cheminant,
A. Almela,
J. Alvarez-Muñiz,
R. Alves Batista,
J. Ammerman Yebra,
G. A. Anastasi,
L. Anchordoqui,
B. Andrada,
S. Andringa,
C. Aramo,
P. R. Araújo Ferreira,
E. Arnone,
J. C. Arteaga Velázquez,
H. Asorey,
P. Assis,
G. Avila,
E. Avocone,
A. M. Badescu,
A. Bakalova,
A. Balaceanu
, et al. (351 additional authors not shown)
Abstract:
Ultra-high-energy photons with energies exceeding $10^{17}$ eV offer a wealth of connections to different aspects of cosmic-ray astrophysics as well as to gamma-ray and neutrino astronomy. The recent observations of photons with energies in the $10^{15}$ eV range further motivate searches for even higher-energy photons. In this paper, we present a search for photons with energies exceeding…
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Ultra-high-energy photons with energies exceeding $10^{17}$ eV offer a wealth of connections to different aspects of cosmic-ray astrophysics as well as to gamma-ray and neutrino astronomy. The recent observations of photons with energies in the $10^{15}$ eV range further motivate searches for even higher-energy photons. In this paper, we present a search for photons with energies exceeding $2{\times}10^{17}$ eV using about 5.5 years of hybrid data from the low-energy extensions of the Pierre Auger Observatory. The upper limits on the integral photon flux derived here are the most stringent ones to date in the energy region between $10^{17}$ and $10^{18}$ eV.
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Submitted 30 May, 2022;
originally announced May 2022.
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Limits to gauge coupling in the dark sector set by the non-observation of instanton-induced decay of Super-Heavy Dark Matter in the Pierre Auger Observatory data
Authors:
The Pierre Auger Collaboration,
P. Abreu,
M. Aglietta,
J. M. Albury,
I. Allekotte,
K. Almeida Cheminant,
A. Almela,
J. Alvarez-Muñiz,
R. Alves Batista,
J. Ammerman Yebra,
G. A. Anastasi,
L. Anchordoqui,
B. Andrada,
S. Andringa,
C. Aramo,
P. R. Araújo Ferreira,
E. Arnone,
J. C. Arteaga Velázquez,
H. Asorey,
P. Assis,
G. Avila,
E. Avocone,
A. M. Badescu,
A. Bakalova,
A. Balaceanu
, et al. (352 additional authors not shown)
Abstract:
Instantons, which are non-perturbative solutions to Yang-Mills equations, provide a signal for the occurrence of quantum tunneling between distinct classes of vacua. They can give rise to decays of particles otherwise forbidden. Using data collected at the Pierre Auger Observatory, we search for signatures of such instanton-induced processes that would be suggestive of super-heavy particles decayi…
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Instantons, which are non-perturbative solutions to Yang-Mills equations, provide a signal for the occurrence of quantum tunneling between distinct classes of vacua. They can give rise to decays of particles otherwise forbidden. Using data collected at the Pierre Auger Observatory, we search for signatures of such instanton-induced processes that would be suggestive of super-heavy particles decaying in the Galactic halo. These particles could have been produced during the post-inflationary epoch and match the relic abundance of dark matter inferred today. The non-observation of the signatures searched for allows us to derive a bound on the reduced coupling constant of gauge interactions in the dark sector: $α_X \lesssim 0.09$, for $10^{9} \lesssim M_X/{\rm GeV} < 10^{19}$. Conversely, we obtain that, for instance, a reduced coupling constant $α_X = 0.09$ excludes masses $M_X \gtrsim 3\times 10^{13}~$GeV. In the context of dark matter production from gravitational interactions alone, we illustrate how these bounds are complementary to those obtained on the Hubble rate at the end of inflation from the non-observation of tensor modes in the cosmological microwave background.
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Submitted 15 December, 2022; v1 submitted 16 March, 2022;
originally announced March 2022.