On the Solution of the Number-Projected Hartree-Fock-Bogoliubov Equations

Details On the Solution of the Number-Projected Hartree-Fock-Bogoliubov Equations On the Solution of the Number-Projected Hartree-Fock-Bogoliubov Equations

2000-08-04

arxiv.org/abs/nucl-th/0008009v1

Phys.Atom.Nucl. 64 (2001) 477-481; Yad.Fiz. 64 (2001) 531-535

Physics

Nuclear Physics

Nuclear Theory

RevTeX, 11 pages, 3 figures. To be published in a special edition of Physics of Atomic Nuclei (former Sov. J. Nucl. Phys.) ded

Scientific paper

10.1134/1.1358472

The numerical solution of the recently formulated number-projected Hartree-Fock-Bogoliubov equations is studied in an exactly soluble cranked-deformed shell model Hamiltonian. It is found that the solution of these number-projected equations involve similar numerical effort as that of bare HFB. We consider that this is a significant progress in the mean-field studies of the quantum many-body systems. The results of the projected calculations are shown to be in almost complete agreement with the exact solutions of the model Hamiltonian. The phase transition obtained in the HFB theory as a function of the rotational frequency is shown to be smeared out with the projection.

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