Investigation of electric quadrupole moments in Ne, Mg, Si, S, and Ar even–odd nuclei and the structural stability of neighboring even-even nuclei
摘要
In the present study, the theoretical quadrupole moment of some even–odd isotopes (21,23Ne, 23,25Mg, 27Si, 33,35S, and 35,37Ar) have been calculated using sd-model space and HFB theory with SLy4 Skyrme parameterizations. The results showed that 25Mg has the largest value of the electric quadrupole moment. The neutron single particle energies have been studied for the selected even–odd nuclei. Furthermore, the potential energy curves of the even-even isotopes (20Ne, 24Mg, 28Si, 32S, and 36Ar) have been studied using HFB theory with SLy4 Skyrme parameterization. The results showed that there is an interplays between the shifting states of the even–odd isotopes (23,25Mg) and the presence of shape transition in 24Mg. The evolution of the electric quadrupole moment provides an indication of changes in the nuclear structure, with the increasing of neutron number where the different shells that are partly filled with nucleons increases, leading to shift the shell states. Furthermore, the nuclear deformation of 24Mg have been studied in two theories; HFB (with SLy4 parameterizations) and HF + BCS (with SLy5T parameterizations). In both theories, the results showed the transition shape in 24Mg, but this transition in the shape was more significant in the HF + BCS with tensor force, because of the limitation of the pairing states effect. As well as, the mass densities of 24Mg in the two dimensions with its potential energy curve have been studied using SLy5T parameterizations. The excitation energies for the transition to the 2+ excited state in Mg isotopes have been calculated using shell model, the results showed that 24 Mg has low excitation energy.