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.

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Cited by in corpus (9)

• Microscopic Theory of Nuclear Fission: A Review
• Linear response of homogeneous nuclear matter with energy density functionals
• Constraining the surface properties of effective Skyrme interactions
• Effective density functionals beyond mean field
• Solution of Hartree-Fock-Bogoliubov equations and fitting procedure using N2LO Skyrme pseudo-potential in spherical symmetry
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• Linear Response Theory with finite-range interactions
• Skyrme pseudopotentials at next-to-next-to-leading order Construction of local densities and first symmetry-breaking calculations