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

13 pages, 13 figures, to be published in Physical Review C

References in corpus (5)

• Discovery of the shape coexisting 0+ state in 32Mg by a two neutron transfer reaction
• Spectroscopy of 32Ne and the Island of Inversion
• Nilsson diagrams for light neutron-rich nuclei with weakly-bound neutrons
• Nuclear skin emergence in Skyrme deformed Hartree-Fock calculations
• Nuclear matter symmetry energy and the symmetry energy coefficient in the mass formula

Cited by in corpus (7)

• Proton and neutron skins and symmetry energy of mirror nuclei
• Temperature dependence of the symmetry energy and neutron skins in Ni, Sn, and Pb isotopic chains
• Volume and surface contributions to the nuclear symmetry energy within the coherent density fluctuation model
• Observation of excited states in ${}^{20}$Mg sheds light on nuclear forces and shell evolution
• Symmetry energy properties of neutron-rich nuclei from the coherent density fluctuation model applied to nuclear matter calculations with Bonn potentials
• Mean-field calculations of charge radii in ground and isomeric states of Cd isotopes
• Isoscalar Giant Monopole Resonance in Spherical Nuclei as a Nuclear Matter Incompressibility Indicator