Renormalized Fermi hypernetted chain approach in medium-heavy nuclei

TL;DR

This paper reviews a modified Fermi hypernetted chain method based on Correlated basis functions for accurately describing the ground states of medium-heavy nuclei using realistic nucleon interactions.

Contribution

It extends the Fermi hypernetted chain approach to finite nuclei with proton-neutron asymmetry, enabling microscopic calculations of various nuclear properties.

Findings

Accurate ground-state energies for selected nuclei.

Detailed distributions and wave functions matching experimental data.

Validation of the method with realistic nucleon-nucleon interactions.

Abstract

The application of the Correlated basis function theory and of the Fermi hypernetted chain technique, to the description of the ground state of medium-heavy nuclei is reviewed. We discuss how the formalism, originally developed for symmetric nuclear matter, should be changed in order to describe finite nuclear systems, with different number of protons and neutrons. This approach allows us to describe doubly closed shell nuclei by using microscopic nucleon-nucleon interactions. We presents results of numerical calculations done with two-nucleon interactions of Argonne type,implemented with three-body forces of Urbana type. Our results regard ground-state energies, matter, charge and momentum distributions, natural orbits, occupation numbers, quasi-hole wave functions and spectroscopic factors of 12C, 16O, 40Ca, 48Ca and 208Pb nuclei.