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

Cited by in corpus (11)

• Spin-orbit splitting and the tensor component of the Skyrme interaction
• Shell Structure of Exotic Nuclei
• Evolution of Nuclear Shell Structure due to the Pion Exchange Potential
• Z=50 shell gap near ${}^{100}$Sn from intermediate-energy Coulomb excitations in even-mass ${}^{106--112}$Sn isotopes
• Evolution of nuclear shells with the Skyrme density dependent interaction
• Spin-orbit and tensor mean-field effects on spin-orbit splitting including self-consistent core polarizations
• Nuclear response for the Skyrme effective interaction with zero range tensor terms
• High-j single-particle neutron states outside the N=82 core
• Global nuclear structure aspects of tensor interaction
• Contradicting effective mass scalings within the Skyrme energy density functional method
• Effect of the tensor force in the exchange channel on the spin-orbit splitting in 23F in the Hartree-Fock framework