Tensor interaction contributions to single-particle energies

Abstract

We calculate the contribution of the nucleon-nucleon tensor interaction to single-particle energies with finite-range $G$ matrix potentials and with zero-range Skyrme potentials. The Skx Skyrme parameters including the zero-range tensor terms with strengths calibrated to the finite-range results are refitted to nuclear properties. The fit allows the zero-range proton-neutron tensor interaction as calibrated to the finite-range potential results and that gives the observed change in the single-particle gap $\epsilon$(h${}_{11/2}$)-$\epsilon$(g${}_{7/2}$) going from ${}^{114}$Sn to ${}^{132}$Sn. However, the experimental $\ell$ dependence of the spin-orbit splittings in ${}^{132}$Sn and ${}^{208}$Pb is not well described when the tensor is added, due to a change in the radial dependence of the total spin-orbit potential. The gap shift and a good fit to the $\ell$-dependence can be recovered when the like-particle tensor interaction is opposite in sign to that required for the $G$ matrix.

5 pages, 4 figures, accepted for publication as Rapid Communication in Physical Review C

References in corpus (3)

• Magic numbers in exotic nuclei and spin-isospin properties of {\it NN} interaction
• Magnetic moments of the 2${}_1^{+}$ states around ${}^{132}$Sn
• Isovector splitting of nucleon effective masses, ab-initio benchmarks and extended stability criteria for Skyrme energy functionals

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