The surface properties of neutron-rich exotic nuclei within relativistic mean field formalisms

TL;DR

This theoretical study explores the relationship between neutron skin thickness and nuclear symmetry energy in exotic nuclei using relativistic mean field models, revealing shell closures and nuclear matter properties.

Contribution

It establishes a correlation between neutron skin thickness and symmetry energy in neutron-rich nuclei using relativistic mean field formalisms with new insights into shell closures.

Findings

Identified a shell closure at N=50 in several isotopic chains.

Established a correlation between neutron skin thickness and symmetry energy.

Revealed the link between nuclear matter properties and finite nuclei characteristics.

Abstract

In this theoretical study, we establish a correlation between the neutron skin thickness and the nuclear symmetry energy for the even$-$even isotopes of Fe, Ni, Zn, Ge, Se and Kr within the framework of the axially deformed self-consistent relativistic mean field for the non-linear NL3$^*$ and density-dependent DD-ME1 interactions. The coherent density functional method is used to formulate the symmetry energy, the neutron pressure and the curvature of finite nuclei as a function of the nuclear radius. We have performed broad studies for the mass dependence on the symmetry energy in terms of the neutron-proton asymmetry for mass 70 $\leq$ A $\leq$ 96. From this analysis, we found a notable signature of a shell closure at $N$ = 50 in the isotopic chains of Fe, Ni, Zn, Ge, Se and Kr nuclei. The present study reveals an interrelationship between the characteristics of infinite nuclear matter and the neutron skin thickness of finite nuclei