The Tensor Part of the Skyrme Energy Density Functional

T. Lesinski (1) , M. Bender (2, 3) , K. Bennaceur (1, 2) , Thomas Duguet (4) , J. Meyer (1)

1 IPNL - Institut de Physique Nucléaire de Lyon
2 DPHN - Département de Physique Nucléaire (ex SPhN)
3 CENBG - Centre d'Etudes Nucléaires de Bordeaux Gradignan
4 NSCL, MSU - National Superconducting Cyclotron Laboratory, Michigan State University

We systematically study the effect of the J^2 tensor terms in the Skyrme energy functional on properties of spherical nuclei. We build a set of 36 parameterizations covering a wide range of the corresponding parameter space. We analyze the impact of the tensor terms on the evolution of single-particle-level splittings along chains of semi-magic nuclei in spherical calculations. We find that positive values of the coupling constants of proton-neutron and like-particle tensor terms allow for a qualitative description of the evolution of neutron and proton single-particle level splittings in chains of Ca, Ni and Sn isotopes.

Keywords: Nuclear energy density functional; tensor interaction; single-particle energies

Domains: Nuclear Theory [nucl-th]

T. Lesinski, M. Bender, K. Bennaceur, Thomas Duguet, J. Meyer. The Tensor Part of the Skyrme Energy Density Functional. 23rd International Nuclear Physics Conference - INPC2007, Jun 2007, Tokyo, Japan. ⟨hal-00169018⟩