Investigation of the magicity in some even–even Ca isotopes by using shell model and Hartree–Fock–Bogoliubov method

Abstract

In the present work, the bulk nuclear properties and features of some of the excited states in the neutron-rich even–even 46−54Ca isotopes have been investigated. In order to identify the magicity and the existence of new magic numbers in these isotopes, the shell model and Hartree–Fock–Bogoliubov method were implemented based on Skyrme parameterizations. In particular, root-mean-square charge radius, binding energies, one- and two-neutron separation energies, pairing gaps, reduced transition probabilities, excitation energies, energy levels, and quadrupole deformation parameters have been investigated. The calculated results were compared with available experimental data.