Skyrme density functional description of the double magic ${}^{78}$Ni nucleus

Abstract

We calculate the single particle spectrum of the double magic nucleus ${}^{78}$Ni in a Hartree-Fock approach using the Skyrme density-dependent effective interaction containing central, spin-orbit and tensor parts. We show that the tensor part has an important effect on the spin-orbit splitting of the proton $1f$ orbit which may explain the survival of magicity so far from the stability valley. We confirm the inversion of the $1f5/2$ and $2p3/2$ levels at the neutron number 48 in the Ni isotopic chain expected from previous Monte Carlo shell model calculations and supported by experimental observation.

14 pages, 5 figures, typos corrected. arXiv admin note: text overlap with arXiv:nucl-th/0702065

References in corpus (5)

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• Tensor interaction contributions to single-particle energies
• Evolution of nuclear shells with the Skyrme density dependent interaction
• Collectivity-induced quenching of signatures for shell closures
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• Microscopic study on fusion reactions ${}^{40,48}\mathrm{Ca}+{}^{78}\mathrm{Ni}$ and the effect of tensor force
• Effects of the tensor force on low-energy heavy-ion fusion reactions: A mini review
• The N=50 and Z=28 shell closure revisited
• The finite range simple effective interaction including tensor terms
• Pseudospin Symmetry: Microscopic origin of the ground-state inversion in neutron-rich odd-A Cu isotopes
• Role of tensor terms of the Skyrme energy-density functional on neutron deformed magic numbers in the rare-earth region