The effect of the tensor force on the bubble structure in Ar isotopes
Abstract.The tensor force effect on the proton bubble structure of Ar isotopes is investigated in the framework of the Hartree-Fock-Bogoliubov (HFB) approach with the Skyrme interactions SLy5+T and SLy5+Tw. It is shown that the tensor force effect of the SLy5+Tw interaction favors the bubble structure of 44-56Ar due to the inversion between the proton single-particle states $ 2s_{1/2}$ and $ 1d_{3/2}$ ( $ 2s_{1/2}$ -1d3/2 inversion). However, the SLy5+T interaction cannot lead to any $ 2s_{1/2}$ -1d3/2 inversion of Ar isotopes, consequently, no bubble structure can be found in the isotopes. In addition, taking 46Ar as an example, the competition between the tensor force and pairing interaction on the bubble formation is examined in order to understand the bubble formation mechanism.