Ground-state Properties and Symmetry Energy of Mg Isotopes with A = 20–36∗

Abstract

A comprehensive study of various ground-state properties of neutronrich and neutron-deficient Mg isotopes with A = 20–36 is performed in the framework of the axially symmetric self-consistent 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 the same isotopic chain following the theoretical approach based on the coherent density fluctuation model. The results of the calculations show that the behavior of the nuclear charge radii and the nuclear matter properties in the Mg isotopic chain is closely related with the nuclear deformation. We also study the emergence of an “island of inversion” at the neutron-rich 32Mg nucleus proposed from the analyses of spectroscopic measurements of its low-lying energy spectrum and the charge r.m.s. radii of all magnesium isotopes in the sd shell.