Nuclear response for the Skyrme effective interaction with zero-range tensor terms. II. Sum rules and instabilities

A. Pastore, D. Davesne, Yoann Lallouet, M. Martini, K. Bennaceur, J. Meyer

Abstract

The formalism of linear response theory for Skyrme forces including tensor terms presented by Davesne et al. [Phys. Rev. C 80, 024314 (2009)] is generalized for the case of a Skyrme energy density functional in infinite matter. We also present analytical results for the odd-power sum rules, with particular attention to the inverse energy weighted sum rule, ${M}_{\ensuremath{-}1}$, as a tool to detect instabilities in Skyrme functionals.

Locations

• Physical Review C - View
• arXiv (Cornell University) - View - PDF
• DataCite API - View