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

Abstract : The formalism of linear response theory for Skyrme forces including tensor terms presented in article [1] 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, $M_{-1}$, as a tool to detect instabilities in Skyrme functionals.
Document type :
Journal articles

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Contributor : Dominique Girod <>
Submitted on : Tuesday, April 3, 2012 - 2:31:50 PM
Last modification on : Thursday, June 17, 2021 - 3:19:01 PM

### Citation

A. Pastore, D. Davesne, Y. Lallouet, M. Martini, K. Bennaceur, et al.. Nuclear response for the Skyrme effective interaction with zero-range tensor terms. II. Sum rules and instabilities. Physical Review C, American Physical Society, 2012, 85, pp.054317. ⟨10.1103/PhysRevC.85.054317⟩. ⟨in2p3-00684899⟩

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