Symmetry energy and neutron-proton radii studies with a Wigner-Heisenberg monopole-monopole interaction

TL;DR

This paper investigates the symmetry energy in nuclei and the differences in neutron-proton radii using a monopole-monopole interaction with isospin dependence, emphasizing the role of shell structure and Heisenberg interaction strength.

Contribution

It introduces a Hartree theory based on a shell model with an isospin-dependent monopole interaction, highlighting the impact of shell structure and Heisenberg interaction on nuclear properties.

Findings

Shell structure influences symmetry energy.

Heisenberg interaction strength affects neutron-proton radius differences.

Insights into halo nuclei features.

Abstract

The symmetry energy in nuclei is studied using a monopole-monopole two boby interaction which has an isospin dependent term. A Hartree theory is developed for this interaction which has an oscillator shell model basis with corresponding shell structure. The role of shell structure on the symmetry energy is then studied. We also find that the strength of the Heisenberg interaction is very important for understanding the difference between proton and neutron radii and features associated with halo nuclei. PACS numbers: 21.10.Sf, 21.65Cd, 21.65Ef