Symmetry-Projected Hartree-Fock-Bogoliubov Equations

Details Symmetry-Projected Hartree-Fock-Bogoliubov Equations Symmetry-Projected Hartree-Fock-Bogoliubov Equations

1999-07-16

arxiv.org/abs/nucl-th/9907065v1

Nucl.Phys. A665 (2000) 71-91

Physics

Nuclear Physics

Nuclear Theory

24 pages, 1 figure

Scientific paper

10.1016/S0375-9474(99)00424-8

Symmetry-projected Hartree-Fock-Bogoliubov (HFB) equations are derived using the variational ansatz for the generalized one-body density-matrix in the Valatin form. It is shown that the projected-energy functional can be completely expressed in terms of the HFB density-matrix and the pairing-tensor. The variation of this projected-energy is shown to result in HFB equations with modified expressions for the pairing-potential and the Hartree-Fock field. The expressions for these quantities are explicitly derived for the case of particle number-projection. The numerical applicability of this projection method is studied in an exactly soluble model of a deformed single-j shell.

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