Occupation numbers in Self Consistent RPA

Abstract

A method is proposed which allows to calculate within the SCRPA theory the occupation numbers via the single particle Green function. This scheme complies with the Hugenholtz van Hove theorem. In an application to the Lipkin model it is found that this prescription gives consistently better results than two other commonly used approximations: lowest order boson expansion and the number operator method.

25 pages, 10 figures, submitted to Nucl. Phys. A

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