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.

arXiv comment6 pages, 1 figure, Phys. Rev. C 101, 014305 (2020)

References in corpus (21)

• The equation of state for nucleon matter and neutron star structure
• Magic numbers in exotic nuclei and spin-isospin properties of {\it NN} interaction
• Novel features of nuclear forces and shell evolution in exotic nuclei
• Probing Cold Dense Nuclear Matter
• Unexpectedly large charge radii of neutron-rich calcium isotopes
• Nucleon-Nucleon Correlations, Short-lived Excitations, and the Quarks Within
• The tensor part of the Skyrme energy density functional. I. Spherical nuclei
• Momentum sharing in imbalanced Fermi systems
• Spin-orbit splitting and the tensor component of the Skyrme interaction
• Nucleon Effective Masses in Neutron-Rich Matter
• Tensor part of the Skyrme energy density functional. II: Deformation properties of magic and semi-magic nuclei
• Tensor interaction contributions to single-particle energies
• Effect of the tensor force on the charge-exchange spin-dipole excitations of 208Pb
• Tensor interaction in mean-field and density functional theory approaches to nuclear structure
• The nuclear symmetry energy and the breaking of the isospin symmetry: how do they reconcile with each other?
• Tensor parameters in Skyrme and Gogny effective interactions: Trends from a ground-state-focused study
• 3PF2 pairing in high-density neutron matter
• Three-body force effect on nucleon momentum distributions in asymmetric nuclear matter within the framework of the extended BHF approach
• Role of nucleonic Fermi surface depletion in neutron star cooling
• Generalized isobaric multiplet mass equation and its application to the Nolen-Schiffer anomaly
• Neutron $2p$ and $1f$ spin--orbit splittings in ${}^{40}$Ca, ${}^{36}$S, and ${}^{34}$Si $N=20$ isotones: tensor--induced and pure spin--orbit effects

Cited by in corpus (6)

• Possible bound nuclei beyond the two-neutron drip line in the $50⩽Z⩽70$ region
• Covariant energy density functionals with and without tensor couplings at the Hartree-Bogoliubov level
• r-mode instability of neutron stars in low-mass X-ray binaries: effects of Fermi surface depletion and superfluidity of dense matter
• Exploring effects of tensor force and its strength via neutron drops
• Tensor-force effects on shell-structure evolution in $N=82$ isotones and $Z=50$ isotopes in the relativistic Hartree-Fock theory
• Comment on "Breakdown of the tensor component in the Skyrme energy density functional''