Neutron Skin size dependence of the nuclear binding energy

TL;DR

This paper investigates how the neutron skin affects nuclear binding energy using finite temperature density functional theory with Skyrme interactions, focusing on volume, surface, and symmetry energy contributions.

Contribution

It provides a detailed analysis of neutron skin effects on binding energy and the dependence of skin thickness on isospin asymmetry within a finite temperature framework.

Findings

Neutron skin modifies the mass dependence of energy terms.

Skin thickness is proportional to isospin asymmetry I.

The study offers insights into the role of neutron skin in nuclear stability.

Abstract

The nuclear binding energy is studied using a finite temperature density functional theory. A Skyrme interaction is used in this work. Volume, surface, and symmetry energy contributions to the binding energy are investigated. The case of neutron skin is considered in detail. The neutron skin modifies the mass $A$ dependence of various terms and $I$ dependence of the skin thickness is proportional to $I$ for the case of same central density.