Ground-state properties and symmetry energy of neutron-rich and neutron-deficient Mg isotopes

TL;DR

This paper investigates the ground-state properties and symmetry energy of Mg isotopes using a self-consistent deformed Skyrme-Hartree-Fock plus BCS approach, revealing links between nuclear deformation, charge radii, and symmetry energy, and exploring the island of inversion at Mg-32.

Contribution

It provides a comprehensive theoretical analysis of Mg isotopes' properties, connecting nuclear deformation with symmetry energy and examining the island of inversion phenomenon.

Findings

Nuclear charge radii and symmetry energy are closely related to deformation.

The study supports the existence of an island of inversion at Mg-32.

Deformation influences the behavior of symmetry energy across isotopes.

Abstract

A comprehensive study of various ground-state properties of neutron-rich and neutron-deficient Mg isotopes with $A$=20-36 is performed in the framework of the self-consistent deformed Skyrme-Hartree-Fock plus BCS method. The correlation between the skin thickness and the characteristics related with the density dependence of the nuclear symmetry energy is investigated for this isotopic chain following the theoretical approach based on the coherent density fluctuation model and using the Brueckner energy-density functional. The results of the calculations show that the behavior of the nuclear charge radii and the nuclear symmetry energy in the Mg isotopic chain is closely related to the nuclear deformation. We also study, within our theoretical scheme, the emergence of an "island of inversion" at neutron-rich $^{32}$Mg nucleus, that was recently proposed from the analyses of spectroscopic measurements of $^{32}$Mg low-lying energy spectrum and the charge rms radii of all magnesium isotopes in the $sd$ shell.