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Title: Weak charge form factor and radius of 208Pb through parity violation in electron scattering

Journal Article · · Physical Review C, Nuclear Physics
 [1];  [2];  [2];  [2];  [2];  [3];  [3];  [3];  [3];  [3];  [4];  [4];  [4];  [5];  [5];  [5];  [5];  [5];  [6];  [7]
  1. Univ. of Tennessee, Knoxville, TN (United States); Indiana Univ., Bloomington, IN (United States)
  2. Syracuse Univ., Syracuse, NY (United States)
  3. Univ. of Virginia, Charlottesville, VA (United States)
  4. Carnegie Mellon Univ., Pittsburgh, PA (United States)
  5. Univ. of Massachusetts Amherst, Amherst, MA (United States)
  6. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
  7. INFN, Rome (Italy)
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We use distorted wave electron scattering calculations to extract the weak charge form factor FW($$\bar{q}$$), the weak charge radius RW, and the point neutron radius Rn, 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 $$\bar{q}$$ = 0.475 fm-1. We find FW($$\bar{q}$$) = 0.204 ± 0.028(exp) ± 0.001(model). We use the Helm model to infer the weak radius from FW($$\bar{q}$$). We find RW = 5.826 ± 0.181(exp) ± 0.027(model) fm. Here the exp error includes PREX statistical and systematic errors, while the model error describes the uncertainty in RW from uncertainties in the surface thickness σ of 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 Rn = 5.751 ± 0.175 (exp) ± 0.026(model) ± 0.005(strange) fm, from RW. Here there is only a very small error (strange) from possible strange quark contributions. We find Rn to be slightly smaller than RW because of the nucleon's size. As a result, we find a neutron skin thickness of Rn-Rp = 0.302 ± 0.175 (exp) ± 0.026 (model) ± 0.005 (strange) fm, where Rp is the point proton radius.

Research Organization:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
AC05-06OR23177
OSTI ID:
1038244
Alternate ID(s):
OSTI ID: 1098581
Report Number(s):
JLAB-PHY-12-1409; DOE/OR/23177-1998; arXiv:1202.1468; PRVCAN; TRN: US1201831
Journal Information:
Physical Review C, Nuclear Physics, Vol. 85, Issue 3; ISSN 0556-2813
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 159 works
Citation information provided by
Web of Science

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The nuclear symmetry energy and the breaking of the isospin symmetry: how do they reconcile with each other? journal January 2018
A way forward in the study of the symmetry energy: experiment, theory, and observation journal July 2014
Propagation of uncertainties in the nuclear DFT models journal February 2015
Binary white dwarfs as laboratories for extreme gravity with LISA journal April 2019
Influence of the nuclear matter equation of state on the r -mode instability using the finite-range simple effective interaction journal April 2018
Combining the modified Skyrme-like model and the local density approximation to determine the symmetry energy of nuclear matter journal June 2018
Imprints of the nuclear symmetry energy on the tidal deformability of neutron stars journal May 2019
Neutron skins of atomic nuclei: per aspera ad astra journal August 2019
Calculation of nucleon densities in calcium, nickel, and molybdenum isotopes on the basis of the dispersive optical model journal September 2017
How much cooler would it be with some more neutrons?: Exploring the asymmetry dependence of the nuclear caloric curve and the liquid-gas phase transition journal February 2014
Flow probe of symmetry energy in relativistic heavy-ion reactions journal February 2014
Electroweak measurements of neutron densities in CREX and PREX at JLab, USA journal February 2014
Bayesian modeling of the nuclear equation of state for neutron star tidal deformabilities and GW170817 journal November 2019
Nuclear collective excitations: A relativistic density functional approach journal September 2015
Recent Probes of Standard and Non-standard Neutrino Physics With Nuclei journal November 2019
Equation of State for Nucleonic and Hyperonic Neutron Stars with mass and Radius Constraints journal December 2016
Equations of state for supernovae and compact stars text January 2017
Neutrino Charge Radii from Coherent Elastic Neutrino-Nucleus Scattering
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Nuclear Symmetry Energy and the Breaking of the Isospin Symmetry: How Do They Reconcile with Each Other ? conference July 2020
Energy density functional for nuclei and neutron stars text January 2012
Constraints on the Skyrme Equations of State from Properties of Doubly Magic Nuclei text January 2013
Flow probe of symmetry energy in relativistic heavy-ion reactions text January 2013
Constraints on Skyrme Equations of State from Properties of Doubly Magic Nuclei and Ab-Initio Calculations of Low-Density Neutron Matter text January 2013
A way forward in the study of the symmetry energy: experiment, theory, and observation text January 2014
Building relativistic mean field models for finite nuclei and neutron stars text January 2014
Average CsI neutron density distribution from COHERENT data text January 2017
Neutron skins and neutron stars in the multi-messenger era text January 2017
Neutrino Charge Radii from COHERENT Elastic Neutrino-Nucleus Scattering text January 2018
Neutron skins of atomic nuclei: per aspera ad astra text January 2019
Electroweak probes of ground state densities text January 2019
Recent probes of standard and non-standard neutrino physics with nuclei text January 2019

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Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASYMMETRY
CHARGE DENSITY
ELECTRONS
FORM FACTORS
MOMENTUM TRANSFER
NEUTRONS
PARITY
PROTONS
QUARKS
SCATTERING
THICKNESS
LEAD 208