Breakdown of the tensor component in the Skyrme energy density functional

Abstract

The tensor force, as an important component of strong nuclear force, generates a variety of intriguing effects ranging from few-body systems to neutron stars. It is responsible for the nucleon-nucleon correlation beyond mean-field approximation, and is accordingly proved to play no role in the standard Skyrme energy density functionals in the present work. Therefore, the Skyrme's original tensor interaction that is extensively-employed presently is invalid. As an alternative strategy, we introduced a central interaction, i.e., the ${\mathbf{\sigma }}_1\cdot {\mathbf{\sigma }}_2$ term, to improve the description of experimental single-particle structure, and to address its effect, we established two Skyrme interactions IMP1 and IMP2 complemented by the calibrated charge-violating interactions. The central ${\mathbf{\sigma }}_1\cdot {\mathbf{\sigma }}_2$ interaction turns out to substantially improve the description of shell evolution in Sn isotopes and $N=82$ isotones.

6 pages, 1 figure, Phys. Rev. C 101, 014305 (2020)

References in corpus (5)

• Probing Cold Dense Nuclear Matter
• Momentum sharing in imbalanced Fermi systems
• Spin-orbit splitting and the tensor component of the Skyrme interaction
• Tensor interaction contributions to single-particle energies
• Three-body force effect on nucleon momentum distributions in asymmetric nuclear matter within the framework of the extended BHF approach

Cited by in corpus (1)

• r-mode instability of neutron stars in low-mass X-ray binaries: effects of Fermi surface depletion and superfluidity of dense matter