Weak charge form factor and radius of 208Pb through parity violation in electron scattering
Authors:
C. J. Horowitz,
Z. Ahmed,
C. -M. Jen,
A. Rakhman,
P. A. Souder,
M. M. Dalton,
N. Liyanage,
K. D. Paschke,
K. Saenboonruang,
R. Silwal,
G. B. Franklin,
M. Friend,
B. Quinn,
K. S. Kumar,
J. M. Mammei,
D. McNulty,
L. Mercado,
S. Riordan,
J. Wexler,
R. W. Michaels,
G. M. Urciuoli
Abstract:
We use distorted wave electron scattering calculations to extract the weak charge form factor F_W(q), the weak charge radius R_W, and the point neutron radius R_n, of 208Pb from the PREX parity violating asymmetry measurement. The form factor is the Fourier transform of the weak charge density at the average momentum transfer q=0.475 fm$^{-1}$. We find F_W(q) =0.204 \pm 0.028 (exp) \pm 0.001 (mode…
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We use distorted wave electron scattering calculations to extract the weak charge form factor F_W(q), the weak charge radius R_W, and the point neutron radius R_n, of 208Pb from the PREX parity violating asymmetry measurement. The form factor is the Fourier transform of the weak charge density at the average momentum transfer q=0.475 fm$^{-1}$. We find F_W(q) =0.204 \pm 0.028 (exp) \pm 0.001 (model). We use the Helm model to infer the weak radius from F_W(q). We find R_W= 5.826 \pm 0.181 (exp) \pm 0.027 (model) fm. Here the exp error includes PREX statistical and systematic errors, while the model error describes the uncertainty in R_W from uncertainties in the surface thickness σof the weak charge density. The weak radius is larger than the charge radius, implying a "weak charge skin" where the surface region is relatively enriched in weak charges compared to (electromagnetic) charges. We extract the point neutron radius R_n=5.751 \pm 0.175 (exp) \pm 0.026 (model) \pm 0.005 (strange) fm$, from R_W. Here there is only a very small error (strange) from possible strange quark contributions. We find R_n to be slightly smaller than R_W because of the nucleon's size. Finally, we find a neutron skin thickness of R_n-R_p=0.302\pm 0.175 (exp) \pm 0.026 (model) \pm 0.005 (strange) fm, where R_p is the point proton radius.
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Submitted 13 February, 2014; v1 submitted 7 February, 2012;
originally announced February 2012.
Measurement of the Neutron Radius of 208Pb Through Parity-Violation in Electron Scattering
Authors:
S. Abrahamyan,
Z. Ahmed,
H. Albataineh,
K. Aniol,
D. S. Armstrong,
W. Armstrong,
T. Averett,
B. Babineau,
A. Barbieri,
V. Bellini,
R. Beminiwattha,
J. Benesch,
F. Benmokhtar,
T. Bielarski,
W. Boeglin,
A. Camsonne,
M. Canan,
P. Carter,
G. D. Cates,
C. Chen,
J. -P. Chen,
O. Hen,
F. Cusanno,
M. M. Dalton,
R. De Leo
, et al. (110 additional authors not shown)
Abstract:
We report the first measurement of the parity-violating asymmetry A_PV in the elastic scattering of polarized electrons from 208Pb. A_PV is sensitive to the radius of the neutron distribution (Rn). The result A_PV = 0.656 \pm 0.060 (stat) \pm 0.014 (syst) ppm corresponds to a difference between the radii of the neutron and proton distributions Rn - Rp = 0.33 +0.16 -0.18 fm and provides the first e…
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We report the first measurement of the parity-violating asymmetry A_PV in the elastic scattering of polarized electrons from 208Pb. A_PV is sensitive to the radius of the neutron distribution (Rn). The result A_PV = 0.656 \pm 0.060 (stat) \pm 0.014 (syst) ppm corresponds to a difference between the radii of the neutron and proton distributions Rn - Rp = 0.33 +0.16 -0.18 fm and provides the first electroweak observation of the neutron skin which is expected in a heavy, neutron-rich nucleus.
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Submitted 13 January, 2012; v1 submitted 12 January, 2012;
originally announced January 2012.