An Investigation of Quadrupole Collectivity in Neutron-rich Magnesium Isotopes

Collective phenomenon in magnesium isotopes is an interesting topic. In order to optimize the description of magnesium isotopes located around the “island of inversion”, we use an isospin-dependent Nilsson potential to define the deformed basis for our projected shell model calculations. Single particle energies in nuclei around “island of inversion” are calculated and discussed, so as to clarify the effect of isospin-dependence.The low-lying spectra are further investigated, which reflect a clear behavior of quadrupole collectivity in the neutron-rich magnesium isotopes. Electric quadrupole transition properties are also studied. Configuration mixing mechanism of projected shell model has an important influence on these transition properties. From this
analysis, we also learn the signal of rotational behavior. Gyromagnetic factors of magnesium isotopes are also calculated. Different contributions from neutron configurations and proton configurations are given separately.