Particle number projection with effective forces

Details Particle number projection with effective forces Particle number projection with effective forces

2001-05-02

arxiv.org/abs/nucl-th/0105003v1

Nucl.Phys.A696:467-493,2001

Physics

Nuclear Physics

Nuclear Theory

33 pages, 8 figures. Submit to Nuc. Phys. A

Scientific paper

10.1016/S0375-9474(01)01219-2

The particle number projection method is formulated for density dependent forces and in particular for the finite range Gogny force. Detailed formula for the projected energy and its gradient are provided. The problems arising from the neglection of any exchange term, which may lead to divergences, are throughly discussed and the possible inaccuracies estimated. Numericala results for the projection after variation method are shown for the nucleus 164Er and for the projection before variation approach for the nuclei 48-50Cr. We also confirm the Coulomb antipairing effect found in mean field theories.

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