2019 Impact factor 2.176
Hadrons and Nuclei
Eur. Phys. J. A 7, 155-165

Occupation numbers in Self Consistent RPA

J. Dukelsky1 - J.G. Hirsch2 - P. Schuck3

1 Instituto de Estructura de la Materia, Consejo Superior de Investigaciones Científicas, Serrano 123, 28006 Madrid, Spain
2 Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apdo. Postal 70-543 México 04510 D.F.
3 Institut des Sciences Nucléaires, IN2P3-CNRS, 53 Av. des Martyrs, 38026 Grenoble-Cedex, France

Received: 10 September 1999 Communicated by B. Povh

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.

PACS
21.60.-n Nuclear-structure models and methods - 21.60.Jz Hartree-Fock and random phase approximations - 21.60.Fw Models based on group theory


Copyright Società Italiana di Fisica, Springer-Verlag 2000