# Tensor-force effects on single-particle levels and proton bubble structure around the $Z$ or N=20 magic number

Abstract : Applying 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 $p0d_{5/2}$.
Document type :
Journal articles

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Submitted on : Tuesday, January 15, 2013 - 5:33:17 PM
Last modification on : Wednesday, October 14, 2020 - 4:00:00 AM

### Citation

H. Nakada, K. Sugiura, J. Margueron. Tensor-force effects on single-particle levels and proton bubble structure around the $Z$ or N=20 magic number. Physical Review C, American Physical Society, 2013, 87, pp.067305. ⟨10.1103/PhysRevC.87.067305⟩. ⟨in2p3-00776594⟩

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