https://hal.in2p3.fr/in2p3-00776594Nakada, H.H.NakadaSugiura, K.K.SugiuraMargueron, J.J.MargueronIPNO - Institut de Physique Nucléaire d'Orsay - UP11 - Université Paris-Sud - Paris 11 - IN2P3 - Institut National de Physique Nucléaire et de Physique des Particules du CNRS - CNRS - Centre National de la Recherche ScientifiqueTensor-force effects on single-particle levels and proton bubble structure around the $Z$ or N=20 magic numberHAL CCSD2013[PHYS.NUCL] Physics [physics]/Nuclear Theory [nucl-th]Heurteau, Sophie2013-01-15 17:33:172023-03-24 14:52:562013-01-15 21:28:48enJournal articles10.1103/PhysRevC.87.0673051Applying the semi-realistic $NN$ interactions that include realistic tensor force to the Hartree-Fock calculations, we investigate tensor-force effects on the single-particle levels in the Ca isotopes. It is clarified that the tensor force is important in reproducing the experimental difference between $\varepsilon(p1s_{1/2})$ and $\varepsilon(p0d_{3/2})$ (denoted by $\mathit{\Delta}\varepsilon_{13}$) both at $^{40}$Ca and $^{48}$Ca. The tensor force plays a role in the $N$-dependence of $\mathit{\Delta}\varepsilon_{13}$ also in neutron-rich Ca nuclei. We further investigate possibility of proton bubble structure in Ar, which is suggested by the $p1s_{1/2}$-$p0d_{3/2}$ inversion in $^{48}$Ca and more neutron-rich Ca nuclei, by the spherical Hartree-Fock-Bogolyubov calculations. Even with the inversion at $^{48}$Ca the pair correlation prohibits prominent bubble distribution in $^{46}$Ar. Bubble in Ar is unlikely also near neutron drip line because either of unboundness or of deformation. However, $^{34}$Si remains a candidate for proton bubble structure, owing to large shell gap between $p1s_{1/2}$ and $p0d_{5/2}$.