Shell-structure fingerprints of tensor interaction
arXiv:0811.0279 · doi:10.1140/epja/i2008-10768-1
Abstract
We address consequences of strong tensor and weak spin-orbit terms in the local energy density functional, resulting from fits to the 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 =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 SLy4, we show that the proton tensorial magic numbers shift with increasing neutron excess to =14, 28, and 50.
5 pages, 3 figures, submitted to EPJ A as a contribution from ENAM '08 conference
References in corpus (11)
- The tensor part of the Skyrme energy density functional. I. Spherical nuclei
- Spin-orbit splitting and the tensor component of the Skyrme interaction
- Shell Structure of Exotic Nuclei
- Tensor interaction contributions to single-particle energies
- 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
- Local nuclear energy density functional at next-to-next-to-next-to-leading order
- Intrinsic-Density Functionals
- Dependence of single-particle energies on coupling constants of the nuclear energy density functional
- Existence of a Density Functional for an Intrinsic State
- Study of the effect of the tensor correlation in oxygen isotopes with the charge- and parity-projected Hartree-Fock method