Tensor force and shape evolution of Si isotopes in Skyrme-Hartree-Fock model

Abstract

Much interest has been devoted to the shape evolution of neutron-rich Si isotopes recently both experimentally and theoretically. We provide our study of $^{28-42}$Si by Skyrme-Hartree-Fock model with BCS approximation for the pairing channel. We use an empirical pairing parameter deduced from the experimental binding energy data for each nuclei and each Skyrme parametrization. The recent highlight of the deformation change from a prolate shape of $^{38}$Si to an oblate shape of $^{42}$Si is confirmed in the present model. We also emphasize the role of tensor force on deformations of neutron-rich $^{30,32}$Si, and discuss its underlying physics.