Nuclear structure evolution in Mg isotopes between proton and neutron drip lines

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 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 symmetry energy in the Mg isotopic chain is closely related to the nuclear deformation. A particular attempt is made to understand the most recent signatures for existence of an "island of inversion" at neutron-rich ³²Mg nucleus (N=20) from the spectroscopic measurements of its low-lying energy spectrum and the charge rms radii of all magnesium isotopes in the sd shell. (author)