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Occupation numbers in Self Consistent RPA

  • J. Dukelsky
  • J.G. Hirsch
  • P. Schuck
Nuclear structure and reactions

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 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • J. Dukelsky
    • 1
  • J.G. Hirsch
    • 2
  • P. Schuck
    • 3
  1. 1.Instituto de Estructura de la Materia, Consejo Superior de Investigaciones Científicas, Serrano 123, 28006 Madrid, SpainES
  2. 2.Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apdo. Postal 70-543 México 04510 D.F.MX
  3. 3.Institut des Sciences Nucléaires, IN2P3-CNRS, 53 Av. des Martyrs, 38026 Grenoble-Cedex, FranceFR

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