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

Abstract

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