Ground state correlations on ground state densities and total binding energies of 40Ca, 48Ca and 208Pb

TL;DR

This paper investigates how ground state correlations affect densities and binding energies in certain nuclei using a Hartree-Fock model with specific energy density functionals, revealing reductions in interior densities and increased neutron skin thickness.

Contribution

It provides a detailed analysis of ground state correlations' impact on densities and energies in doubly-closed shell nuclei using self-consistent RPA and perturbation theory.

Findings

GSC reduces interior densities consistent with experimental data.

GSC increases neutron skin thickness in 48Ca and 208Pb.

Tensor interaction has minimal effect on densities and energies.

Abstract

Neutron and proton densities of doubly-closed shell nuclei 40Ca, 48Ca and 208Pb are studied based on a Hartree-Fock model with SAMi, SAMi-J27 and SAMi-T energy density functionals (EDFs). The ground state correlations (GSC) induced by isoscalar and isovector phonons are also evaluated by the second order perturbation theory with a self-consistent random phase approximation (RPA). We found that the interior part of the ground state densities is reduced by the GSC in consistent with the experimental data. On the other hand, the GSC enhances the neutron skin thickness of 48Ca and 208Pb. The effect of GSC on the total binding energy is also evaluated by the quasi-boson approximation. The effect of the tensor interaction is found small on both the density distributions and the binding energies.