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Title: Dispersive optical model analysis of 208Pb generating a neutron-skin prediction beyond the mean field

Journal Article · · Physical Review C

In this work, a nonlocal dispersive optical model analysis is carried out for neutrons and protons in 208Pb. Elastic-scattering angular distributions, total and reaction cross sections, single-particle energies, neutron and proton numbers, the charge distribution, and the binding energy are fitted to extract the neutron and proton self-energies both above and below the Fermi energy. From the single-particle propagator derived from these self-energies, we determine the charge and matter distributions in 208Pb. The predicted spectroscopic factors are consistent with results from the ($$\textit{e,e}'\textit{p}$$) reaction and inelastic-electron-scattering data to very high-spin states. Sensible results for the high-momentum content of neutrons and protons are obtained, with protons appearing more correlated, in agreement with experiment and ab initio calculations of asymmetric matter. A neutron skin of 0.25 ± 0.05 fm is deduced. An analysis of several nuclei leads to the conclusion that finite-size effects play a nonnegligible role in the formation of the neutron skin in finite nuclei.

Research Organization:
Washington Univ., St. Louis, MO (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF)
Grant/Contract Number:
FG02-87ER40316; PHY-1613362; PHY-1912643; FG02-87ER-40316
OSTI ID:
1800650
Alternate ID(s):
OSTI ID: 1632941
Journal Information:
Physical Review C, Vol. 101, Issue 4; ISSN 2469-9985
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 24 works
Citation information provided by
Web of Science

References (65)

Isospin asymmetry in nuclei and neutron stars journal June 2005
Parity violating elastic electron scattering and Coulomb distortions journal June 1998
Nonlocal extension of the dispersive optical model to describe data below the Fermi energy journal November 2010
elsepa—Dirac partial-wave calculation of elastic scattering of electrons and positrons by atoms, positive ions and molecules journal January 2005
The R -matrix theory journal February 2010
A Formal Optical Model journal July 1959
Neutron Star Structure and the Neutron Radius of P 208 b journal June 2001
Density and isospin-asymmetry dependence of high-momentum components journal April 2014
High-spin states of J π = 12 ,   14 in Pb 208 studied by ( e , e ) journal August 1979
A non-local potential model for the scattering of neutrons by nuclei journal April 1962
The equivalent local potential and the Perey effect journal March 1966
The Ame2003 atomic mass evaluation journal December 2003
Quasifree ( p , 2 p ) Reactions on Oxygen Isotopes: Observation of Isospin Independence of the Reduced Single-Particle Strength journal January 2018
Exclusive quasi-free proton knockout from oxygen isotopes at intermediate energies journal February 2018
The Equation of State from Observed Masses and Radii of Neutron Stars journal September 2010
Neutrinoless double- β decay matrix elements in light nuclei journal January 2018
Depletion of the nuclear Fermi sea journal June 2009
Microscopic self-energy of 40 Ca from the charge-dependent Bonn potential journal October 2011
Electroweak measurements of neutron densities in CREX and PREX at JLab, USA journal February 2014
Recent progress and new challenges in isospin physics with heavy-ion reactions journal August 2008
Systematics of intermediate-energy single-nucleon removal cross sections journal November 2014
Measurement of the Neutron Radius of Pb 208 through Parity Violation in Electron Scattering journal March 2012
Relative 3 s Spectroscopic Strength in Pb 206 and Pb 208 Studied with the ( e , e p ) Knockout Reaction journal July 1986
High-Momentum-Transfer Electron Scattering from Pb 208 journal January 1977
Measurement of Two- and Three-Nucleon Short-Range Correlation Probabilities in Nuclei journal March 2006
Recent developments for the optical model of nuclei journal March 2019
Table of experimental nuclear ground state charge radii: An update journal January 2013
Asymmetry Dependence of Proton Correlations journal October 2006
Electric dipole polarizability and the neutron skin journal April 2012
Forging the Link between Nuclear Reactions and Nuclear Structure journal April 2014
Neutron Skin of Pb 208 , Nuclear Symmetry Energy, and the Parity Radius Experiment journal June 2011
Nucleon and nucleon-pair momentum distributions in A 12 nuclei journal February 2014
The P2 experiment: A future high-precision measurement of the weak mixing angle at low momentum transfer journal November 2018
Asymmetry dependence of nucleon correlations in spherical nuclei extracted from a dispersive-optical-model analysis journal June 2011
Investigating the link between proton reaction cross sections and the quenching of proton spectroscopic factors in 48Ca journal November 2019
GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral journal October 2017
Constraints on the symmetry energy and neutron skins from experiments and theory journal July 2012
Neutron Skin Thickness of Ca 48 from a Nonlocal Dispersive Optical-Model Analysis journal November 2017
Nuclear matrix elements for 0 ν β β decays with light or heavy Majorana-neutrino exchange journal February 2015
Occupation Probabilities of Shell-Model Orbits in the Lead Region journal September 1984
Neutron radii and the neutron equation of state in relativistic models journal June 2001
Nuclear charge-density-distribution parameters from elastic electron scattering journal May 1987
Neutron and weak-charge distributions of the 48Ca nucleus journal November 2015
The Lagrange-mesh method journal March 2015
Local and global nucleon optical models from 1 keV to 200 MeV journal January 2003
Quasi-elastic electron scattering off nuclei journal March 1993
Symmetry energy III: Isovector skins journal February 2017
Charge-exchange scattering to the isobaric analog state at medium energies as a probe of the neutron skin journal February 2014
Elastic nucleon-nucleus scattering as a direct probe of correlations beyond the independent-particle model journal December 2014
Charge density of 40Ca journal December 1979
Are occupation numbers observable? journal April 2002
Validity of the distorted-wave impulse-approximation description of Ca 40 ( e , e p ) K 39 data using only ingredients from a nonlocal dispersive optical model journal October 2018
Quantum Monte Carlo calculations of spectroscopic overlaps in A 7 nuclei journal August 2011
Self-consistent mean-field models for nuclear structure journal January 2003
Self-consistent Green's function method for nuclei and nuclear matter journal April 2004
Dispersive-optical-model analysis of the asymmetry dependence of correlations in Ca isotopes journal October 2007
Neutron skins of atomic nuclei: per aspera ad astra journal August 2019
Folding model study of the isobaric analog excitation: Isovector density dependence, Lane potential, and nuclear symmetry energy journal July 2007
Novel applications of the dispersive optical model journal February 2017
Probing high-momentum protons and neutrons in neutron-rich nuclei journal August 2018
Evidence for partial occupancy of the 3 s 1 / 2 proton orbit in Pb 208 journal March 1987
Microscopic self-energy calculations and dispersive optical-model potentials journal September 2011
Nucleon-nucleon correlations, short-lived excitations, and the quarks within journal November 2017
Correlations in hot asymmetric nuclear matter journal January 2005
Many-Body Theory Exposed!: Propagator Description of Quantum Mechanics in Many-Body Systems book May 2008