Approximate particle number projection for finite range density dependent forces

Abstract

The Lipkin-Nogami method is generalized to deal with finite range density dependent forces. New expressions are derived and realistic calculations with the Gogny force are performed for the nuclei ${}^{164}$Er and ${}^{168}$Er. The sharp phase transition predicted by the mean field approximation is washed out by the Lipkin-Nogami approach; a much better agreement with the experimental data is reached with the new approach than with the Hartree-Fock_Bogoliubov one, specially at high spins.

5 pages, RevTeX 3.0, 3 postscript figures included using uufiles. Submitted to Phys. Rev. Lett

References in corpus (2)

• Superdeformed rotational bands in the Mercury region; A Cranked Skyrme-Hartree-Fock-Bogoliubov study
• Approximate Particle Number Projection for Rotating Nuclei

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