Shell structure in neutron-rich Ca and Ni nuclei under semi-realistic mean fields

Abstract

Shell structure in the neutron-rich Ca and Ni nuclei is investigated by the spherical Hartree-Fock calculations with the semi-realistic $NN$ interactions. Specific ingredients of the effective interaction, particularly the tensor force, often play a key role in the $Z$ dependence of the neutron shell structure. Such examples are found in N=32 and N=40; N=32 becomes magic or submagic in ${}^{52}$Ca while its magicity is broken in ${}^{60}$Ni, and N=40 is submagic (though not magic) in ${}^{68}$Ni but not in ${}^{60}$Ca. Comments are given on the doubly magic nature of ${}^{78}$Ni. We point out that the loose binding can lead to a submagic number N=58 in ${}^{86}$Ni, assisted by the weak pair coupling.

14 pages including 5 figures, to appear in Physical Review C (Rapid Communication)

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• Self-consistent description of multipole strength: systematic calculations
• Application of Gaussian expansion method to nuclear mean-field calculations with deformation
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Cited by in corpus (16)

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• Tensor-force effects on single-particle levels and proton bubble structure around the $Z$ or $N=20$ magic number
• Tensor effects on gap evolution of N=40 from non-relativistic and relativistic mean-field theory
• Semi-realistic nucleon-nucleon interactions with improved neutron-matter properties
• Effects of three-nucleon spin-orbit interaction on isotope shifts of Pb nuclei
• Irregularities in nuclear radii at magic numbers
• Further evidence for three-nucleon spin-orbit interaction in isotope shifts of $Z=\mathrm{magic}$ nuclei
• Shape evolution of Zr nuclei and roles of tensor force
• Occupation numbers of spherical orbits in self-consistent beyond-mean-field methods
• Properties of exotic nuclei and their linkage to the nucleonic interaction
• Nuclear structure study with core excitations in Ni region: for $fp{g}_{9/2}$ space
• Significance of tensor force in pseudo-spin symmetry
• Emergence of new magic numbers N = 16 and 34 through tensor interaction in Skyrme Hartree Fock theory
• Can realistic interaction be useful for nuclear mean-field approaches?
• Implication of odd-even staggering in the charge radii of calcium isotopes
• Assessment of effect of local approximation on single folding potential at low and intermediate incident energies