Abstract

Self-consistent mean-field models are able to reproduce well the overall properties of nuclei for a wide range of masses. Nevertheless, they are intrinsically unsuitable for the description of some important observables like the single-particle strength distribution or, in connection with collective states, their damping width and their gamma decay to the ground state or to low lying states. For this reason, a completely microscopic approach beyond mean- field has been implemented recently, based on the Skyrme functional.When beyond mean-field theories are handled, the mean-field-fitted effective interaction should be refitted at the desired level of approximation. If zero-range interactions are used, divergences arise. We present some steps towards the refitting of Skyrme interactions, for its application in finite nuclei.

Highlights

  • Self-consistent mean-field (SCMF) models [1] have become increasingly reliable in the descriptions of ground state and of high-energy collective states, as giant resonances (GRs)

  • The giant resonances widths within the particle-vibration coupling (PVC) approach we present the results obtained for two observables: the strength function of the isoscalar giant quadrupole resonance (ISGQR) in 208Pb, and the γ-decay width of the ISGQR in 208Pb to the ground state and to the first collective octupole state

  • It should be noted that only the direct decay, not the statistical one coming from the compund nucleus, can be computed in this model [11]. In this contribution we focus on the ISGQR in 208Pb and its decay to the ground state and to the first 3− state, using different Skyrme interactions

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Summary

Introduction

Self-consistent mean-field (SCMF) models [1] have become increasingly reliable in the descriptions of ground state (masses, radii, deformations) and of high-energy collective states, as giant resonances (GRs). A possible solution which can be used to overcome these drawbacks is the inclusion of beyond mean-field (BMF) correlations produced by the interweaving between single particle states and collective phonons. Some of us has developed a fully microscopic selfconsistent model, based on Skyrme functionals, to treat properly single particle states [4].

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