The phonon-coupling model for Skyrme forces

Abstract

A short review on the self-consistent RPA based on a energy-density functional of the Skyrme type is given. We also present an extension of the RPA where the coupling of phonons to the single-particle states is considered. Within this approach we present numerical results which are compared with data. The self-consistent approach is compared with the Landau-Migdal theory. Here we derive from the self-consistent $ph$ interaction, the Landau-Migdal parameters as well as their density dependence. In the Appendix a new derivation of the reduced matrix elements of the $ph$ interaction is presented.

submitted to Physics of Atomic Nuclei

References in corpus (6)

• The Skyrme Interaction in finite nuclei and nuclear matter
• Effects of self-consistency violation in Hartree-Fock RPA calculations for nuclear giant resonances revisited
• Error estimates for the Skyrme-Hartree-Fock model
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Cited by in corpus (10)

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• Excitation spectra of exotic nuclei in a self-consistent phonon-coupling model
• Optimizing phonon space in the phonon-coupling model
• Spurious dipole mode in random-phase approximation and in the RPA-based models
• Including particle-vibration coupling in the Fayans functional. Odd-even mass differences of semi-magic nuclei
• Self-consistent description of high-spin states in doubly magic ${}^{208}$Pb
• Multiphonon structure of high-spin states in ${}^{40}$Ca, ${}^{90}$Zr, and ${}^{208}$Pb