Abstract

The Second Random Phase Approximation (SRPA) is a natural extension of the Random Phase Approximation obtained by introducing more general excitation operators where two particle-two hole configurations, in addition to the one particle-one hole ones, are considered. Only in the last years, large-scale SRPA calculations, without usually employed approximations have been performed. The SRPA model corrected by a subtraction procedure designed to cure double counting issues and the related instabilities has been recently implemented and applied in the study of different physical cases. We report here on some of the most recent results obtained by using this model. In particular, results on the dipole strength 48Ca and on a systematic study of the isoscalar giant quadrupole resonance in spherical nuclei will be shown and discussed.

Highlights

  • The random–phase–approximation (RPA) model provides a microscopic description of the nuclear collective excitations constructed as superpositions of 1 particle–1 hole (1p1h) configurations

  • The Second RPA (SRPA) model has been recently improved by using the so called subtraction procedure [13, 14] designed to handle the problem of the double counting of correlations within energy–density–functional (EDF) based model which go beyond the RPA level

  • This procedure cures some of the drawbacks and the limitations of the SRPA model formulated in the EDF framework providing a robust and stable theoretical tool for a beyond–mean–field description of the excitation spectra of many–body systems

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Summary

Introduction

The random–phase–approximation (RPA) model provides a microscopic description of the nuclear collective excitations constructed as superpositions of 1 particle–1 hole (1p1h) configurations This approach is able to provide the global features of Giant Resonances (GR) such as the centroid energy, the total strength and the corresponding energy-weighted sum rules. The SRPA model has been recently improved by using the so called subtraction procedure [13, 14] designed to handle the problem of the double counting of correlations within energy–density–functional (EDF) based model which go beyond the RPA level This procedure cures some of the drawbacks and the limitations of the SRPA model formulated in the EDF framework providing a robust and stable theoretical tool for a beyond–mean–field description of the excitation spectra of many–body systems. M2/m0 − (m1/m0), where mk represents the moment of order k integrated in the energy region of interest

RPA SRPA SSRPA
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Conclusions

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