Effect of a tensor force on the proton bubble structure of 206Hg

The proton density distribution of Hg-206 is calculated in the framework of the Skyrme-Hartree-Fock approach with the SLy5, SLy5 + T, and SLy5 + T-w interactions. It is shown that the central density drops strongly with the SLy5 and SLy5 + T interactions due to the vacancy of the 3(s1/2) orbital. This means that the density depression in the interior of the nucleus is not so much influenced by the tensor force of the SLy5 + T interaction. However, with the SLy5 + T-w interaction the bubble structure does not exist because the tensor force effect of this interaction leads to the inversion between the single-proton states 3(s1/2) and 1h(11/2) (3(s1/2)-1h(11/2) inversion) so that the 3(s1/2) state is fully occupied by protons. In addition, a detailed discussion on the antibubble effect from the pairing interaction is performed by using the Skyrme-Hartree-Fock-Bogoliubov approach. It is found that a proton bubble structure in Hg-206 is unlikely to appear because of the paring correlation.