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Title: Variational Calculation of the Ground State of Closed-Shell Nuclei Up to $A$ = 40

Abstract

Variational calculations of ground-state properties of 4He, 16O and 40Ca are carried out employing realistic phenomenological two- and three-nucleon potentials. The trial wave function includes twoand three-body correlations acting on a product of single-particle determinants. Expectation values are evaluated with a cluster expansion for the spin-isospin dependent correlations considering up to five-body cluster terms. The optimal wave function is obtained by minimizing the energy expectation value over a set of up to 20 parameters by means of a nonlinear optimization library. We present results for the binding energy, charge radius, point density, single-nucleon momentum distribution, charge form factor, and Coulomb sum rule. We find that the employed three-nucleon interaction becomes repulsive for A ≥ 16. In 16O the inclusion of such a force provides a better description of the properties of the nucleus. In 40Ca instead, the repulsive behavior of the three-body interaction fails to reproduce experimental data for the charge radius and the charge form factor. We find that the high-momentum region of the momentum distributions, determined by the short-range terms of nuclear correlations, exhibit a universal behavior independent of the particular nucleus. The comparison of the Coulomb sum rules for 4He, 16O, and 40Ca reported in this workmore » will help elucidate in-medium modifications of the nucleon form factors.« less

Authors:
ORCiD logo [1];  [2];  [2];  [2]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Michigan State Univ., East Lansing, MI (United States)
  2. Argonne National Lab. (ANL), Argonne, IL (United States)
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Michigan State Univ., East Lansing, MI (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26); USDOE Office of Science (SC). Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1378564
Alternate Identifier(s):
OSTI ID: 1377956; OSTI ID: 1394976; OSTI ID: 1598815
Report Number(s):
LA-UR-17-23856
Journal ID: ISSN 0556-2813; 135687
Grant/Contract Number:  
AC02-06CH11357; AC52-06NA25396; SC0013617; AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. C, Nuclear Physics
Additional Journal Information:
Journal Volume: 96; Journal Issue: 2; Journal ID: ISSN 0556-2813
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Atomic and Nuclear Physics

Citation Formats

Lonardoni, Diego, Lovato, Alessandro, Pieper, Steven C., and Wiringa, Robert B. Variational Calculation of the Ground State of Closed-Shell Nuclei Up to $A$ = 40. United States: N. p., 2017. Web. doi:10.1103/PhysRevC.96.024326.
Lonardoni, Diego, Lovato, Alessandro, Pieper, Steven C., & Wiringa, Robert B. Variational Calculation of the Ground State of Closed-Shell Nuclei Up to $A$ = 40. United States. doi:10.1103/PhysRevC.96.024326.
Lonardoni, Diego, Lovato, Alessandro, Pieper, Steven C., and Wiringa, Robert B. Thu . "Variational Calculation of the Ground State of Closed-Shell Nuclei Up to $A$ = 40". United States. doi:10.1103/PhysRevC.96.024326. https://www.osti.gov/servlets/purl/1378564.
@article{osti_1378564,
title = {Variational Calculation of the Ground State of Closed-Shell Nuclei Up to $A$ = 40},
author = {Lonardoni, Diego and Lovato, Alessandro and Pieper, Steven C. and Wiringa, Robert B.},
abstractNote = {Variational calculations of ground-state properties of 4He, 16O and 40Ca are carried out employing realistic phenomenological two- and three-nucleon potentials. The trial wave function includes twoand three-body correlations acting on a product of single-particle determinants. Expectation values are evaluated with a cluster expansion for the spin-isospin dependent correlations considering up to five-body cluster terms. The optimal wave function is obtained by minimizing the energy expectation value over a set of up to 20 parameters by means of a nonlinear optimization library. We present results for the binding energy, charge radius, point density, single-nucleon momentum distribution, charge form factor, and Coulomb sum rule. We find that the employed three-nucleon interaction becomes repulsive for A ≥ 16. In 16O the inclusion of such a force provides a better description of the properties of the nucleus. In 40Ca instead, the repulsive behavior of the three-body interaction fails to reproduce experimental data for the charge radius and the charge form factor. We find that the high-momentum region of the momentum distributions, determined by the short-range terms of nuclear correlations, exhibit a universal behavior independent of the particular nucleus. The comparison of the Coulomb sum rules for 4He, 16O, and 40Ca reported in this work will help elucidate in-medium modifications of the nucleon form factors.},
doi = {10.1103/PhysRevC.96.024326},
journal = {Physical Review. C, Nuclear Physics},
number = 2,
volume = 96,
place = {United States},
year = {2017},
month = {8}
}

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