Collective Excitations and Ground State Correlations

A generalized RPA formalism is presented which treats pp and ph correlations on an equal footing. The effect of these correlations on the single-particle Green function is discussed and it is demonstrated that a self-consistent treatment of the single-particle Green function is required to obtain st...

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Bibliographic Details
Published in:arXiv.org 1994-08
Main Authors: Heinz, E, H M"uther, Mavromatis, H A
Format: Article
Language:English
Subjects:
Correlation
Green's functions
Online Access:Get full text
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Summary:A generalized RPA formalism is presented which treats pp and ph correlations on an equal footing. The effect of these correlations on the single-particle Green function is discussed and it is demonstrated that a self-consistent treatment of the single-particle Green function is required to obtain stable solutions. A simple approximation scheme is presented which incorporates for this self-consistency requirement and conserves the number of particles. Results of numerical calculations are given for \(^{16}\)O using a G-matrix interaction derived from a realistic One-Boson-Exchange potential.
ISSN:2331-8422
DOI:10.48550/arxiv.9408020