Tools for incorporating a D-wave contribution in Skyrme energy density functionals

Abstract

The possibility of adding a D-wave term to the standard Skyrme effective interaction has been widely considered in the past. Such a term has been shown to appear in the next-to-next-to-leading order of the Skyrme pseudo-potential. The aim of the present article is to provide the necessary tools to incorporate this term in a fitting procedure: first, a mean-field equation written in spherical symmetry in order to describe spherical nuclei and second, the response function to detect unphysical instabilities. With these tools it will be possible to build a new fitting procedure to determine the coupling constants of the new functional.

References in corpus (8)

• Isovector splitting of nucleon effective masses, ab-initio benchmarks and extended stability criteria for Skyrme energy functionals
• Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. IX: Constraint of pairing force to ${}^1{S}_0$ neutron-matter gap
• Self-interaction errors in nuclear energy density functionals
• Effective pseudopotential for energy density functionals with higher order derivatives
• Non-empirical pairing energy functional in nuclear matter and finite nuclei
• Convergence of density-matrix expansions for nuclear interactions
• Nuclear response for the Skyrme effective interaction with zero range tensor terms
• New parameterization of Skyrme's interaction for regularized multi-reference energy density functional calculations

Cited by in corpus (2)

• Linear response of homogeneous nuclear matter with energy density functionals
• Solution of Hartree-Fock-Bogoliubov equations and fitting procedure using N2LO Skyrme pseudo-potential in spherical symmetry