Neutron Shell Closure at N=32 and N=40 in Ar and Ca Isotopes

TL;DR

This study predicts N=32 and N=40 as new magic numbers in Ar and Ca isotopes using advanced nuclear models, enhancing understanding of nuclear shell structure far from stability.

Contribution

The paper introduces a comparative analysis of non-relativistic and relativistic density functional theories to predict new magic numbers in exotic nuclei.

Findings

N=32 and N=40 are predicted as magic numbers for Ar and Ca isotopes.

Results agree with some experimental data and other models.

Highlights the importance of different theoretical approaches in nuclear structure prediction.

Abstract

In this paper, we investigate features of the ground state of some nuclei far from the stability for isotope chains with proton numbers Z=18 and 20. Our aim is to predict the eventual existence of magic numbers in these exotic nuclei. For this purpose, we use two methods: the non relativistic Hartree-Fock-Bogoliubov (HFB) approach based on SLy4 Skyrme functional and the relativistic (so-called covariant) density functional theory (CDFT) by using the DD-ME2 force parametrization. We compare our results with the available experimental data and with the predictions of other models such as Finite Range Droplet Model (FRDM). Our present investigation predicts that N=32 and N=40 are magic numbers for Ar and Ca isotopes.