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
