On the solution of the number-projected Hartree-Fock-Bogolyubov equations

The numerical solution of the recently formulated number-projected Hartree- Fock-Bogolyubov (HFB) equations is studied in an exactly solvable cranked-d eformed shell-model Hamiltonian. it is Found that the solution of these num ber-projected equations involves si mi lar numerical effort as that of bal e HFB. We consider that this is significant prepress in the mean-field stud ies of 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: relational Frequency is shown to be smeared out with the projection. (C) 2001 MAIK "Nauka/Interperiodica".