Effects of realistic tensor force on nuclear quadrupole deformation around the shore of the island of inversion

Abstract

The M3Y-type semi-realistic interaction is applied to deformed nuclei for the first time. The constrained Hartree-Fock calculations assuming axial symmetry are implemented for the $N=20$ isotones ${}^{30}$Ne, ${}^{32}$Mg, ${}^{34}$Si and the $N=28$ isotones ${}^{40}$Mg, ${}^{42}$Si, ${}^{44}$S with the M3Y-P6 interaction. The results match the experimental data well. Effects of the realistic tensor force on the nuclear quadrupole deformation are investigated in relation to the loss of the $N=20$ and $28$ magic numbers. The tensor force is confirmed to favor the deformation for the $N=28$ nuclei owing to the closure of the $jj$-shell (\textit{i.e.}, $n0f_{7/2}$), while favoring the sphericity for the $N=20$ nuclei owing to the $\ell s$-closure of $N=20$.

Comments: containing 12 figures, to be published in PRC