Shell-structure fingerprints of tensor interaction

We address consequences of strong tensor and weak spin-orbit terms in the local energy density functional, resulting from fits to the f5/2 − f7/2 splittings in Ca, Ca, and Ni. In this study, we focus on nuclear binding energies. In particular, we show that the tensor contribution to the binding energies exhibits interesting topological features closely resembling that of the shell-correction. We demonstrate that in the extreme single-particle scenario at spherical shape, the tensor contribution shows tensorial magic numbers equal to N(Z)=14, 32, 56, and 90, and that this structure is smeared out due to configuration mixing caused by pairing correlations and migration of proton/neutron sub-shells with neutron/proton shell filling. Based on a specific Skyrme-type functional SLy4T , we show that the proton tensorial magic numbers shift with increasing neutron excess to Z=14, 28, and 50. PACS. 21.60.Jz Nuclear Density Functional Theory and extensions (includes Hartree-Fock and randomphase approximations) 21.60.-n Nuclear structure models and methods