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

Lonardoni, Diego; Lovato, Alessandro; Pieper, Steven C.; Wiringa, Robert B.

doi:10.1103/PhysRevC.96.024326

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

Journal Article · 31 August 2017 · Physical Review C, Nuclear Physics

DOI: https://doi.org/10.1103/PhysRevC.96.024326 · OSTI ID:1378564

^[1]; Lovato, Alessandro ^[2]; Pieper, Steven C. ^[2]; Wiringa, Robert B. ^[2]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Michigan State Univ., East Lansing, MI (United States)
Argonne National Lab. (ANL), Argonne, IL (United States)

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 two- and 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, one- and two-body densities, 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, exhibits 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.

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Research Organization:: Argonne National Laboratory (ANL), Argonne, IL (United States); Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Michigan State Univ., East Lansing, MI (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC). Nuclear Physics (NP) (SC-26)

Grant/Contract Number:: AC02-06CH11357; AC52-06NA25396; SC0013617; AC02-05CH11231

OSTI ID:: 1378564

Alternate ID(s):: OSTI ID: 1377956; OSTI ID: 1394976; OSTI ID: 1598815

Report Number(s):: LA-UR-17-23856; 135687

Journal Information:: Physical Review C, Nuclear Physics, Vol. 96, Issue 2; ISSN 0556-2813

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 47 works

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The center of mass motion of short-range correlated nucleon pairs studied via the A(e,e'pp) reaction Cohen, E. O.; Hen, O.; Piasetzky, E. arXiv https://doi.org/10.48550/arxiv.1805.01981	text	January 2018
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