Lipkin-Nogami pairing scheme in self-consistent nuclear structure calculations

P.-G. Reinhard, W. Nazarewicz, M. Bender, and J. A. Maruhn
Phys. Rev. C 53, 2776 – Published 1 June 1996
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Abstract

We investigate the pairing treatment with approximate particle number projection, known as the Lipkin-Nogami scheme, in connection with nuclear Hartree-Fock models. A prescription for the pairing strength is developed. It is based on the average gap method and employs a Thomas-Fermi model to estimate the average level density at the Fermi surface. The second-order variation of the Skyrme energy functional gives feedback to the self-consistent density and thus to the mean field. This effect turns out to be small but non-negligible. The Lipkin-Nogami scheme is compared with the conventional treatment of pairing based on the BCS approximation. The bulk observables, especially those which are related to surface properties, depend on the pairing scheme employed, with the differences most noticeable for light nuclei. Pronounced effects on deformation energy surfaces were found, leading to sizable differences in the deformation energies. © 1996 The American Physical Society.

  • Received 5 December 1995

DOI:https://doi.org/10.1103/PhysRevC.53.2776

©1996 American Physical Society

Authors & Affiliations

P.-G. Reinhard, W. Nazarewicz, M. Bender, and J. A. Maruhn

  • Joint Institute for Heavy-Ion Research, Oak Ridge, Tennessee 37831
  • Institute for Nuclear Theory, University of Washington, Seattle, Washington 98195
  • Institut für Theoretische Physik, Universität Erlangen, Staudtstrasse 7, D-91058 Erlangen, Germany
  • Department of Physics, University of Tennessee, Knoxville, Tennessee 37996
  • Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831
  • Institute of Theoretical Physics, Warsaw University, ul. Hoża 69, 00-681 Warsaw, Poland
  • Institut für Theoretische Physik, Universität Frankfurt, Robert-Mayer-Strasse 10, D-60054 Frankfurt, Germany

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Issue

Vol. 53, Iss. 6 — June 1996

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