Tensor Effect on Bubble Nuclei

Abstract

In the framework of the Hartree-Fock-Bogoliubov (HFB) approach with Skyrme interactions SLy5+T, SLy5+T-w and several sets of TIJ parametrizations, i.e. the Skyrme interaction parametrizations including the tensor terms, the proton density distribution in Si-34 and Ar-46 nuclei is calculated with and without the tensor force. It is shown that the bubble effect in 34Si does not depend a great deal on the Skyrme parametrization and the proton density distribution in Si-34 is hardly influenced by the tensor force. As to Ar-46, the SLy5+T-w parametrization favors the formation of the bubble structure due to the inversion between the 2s(1/2) and 1d(3/2) orbits (2s(1/2)-1d(3/2) inversion). The inversion mechanism induced by the SLy5+T-w interaction is analyzed based on the proton single-particle spectra obtained from the SLy5 and SLy5+T-w interactions as well as the wave functions of the 2s(1/2) and 1D(3/2) states.