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.

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