A simple strategy for finding the low-lying solutions of the restricted nuclear Hartree-Fock equations (Q1115154)

The paper deals with the specific problem of finding the lowest lying solution of the nonlinear restricted Hartree-Fock equation. The proposed method can be extended to other more general variational methods such as the Hartree-Fock-Bogolyubov method. The strategy being evolved is applicable to a wider class of nuclear structure problems. A strategy is devised in which the lowest lying solutions are found once and not repeatedly. In order to avoid the finding of the same solution of the HF equations more than once, penalty functions are used involving the overlaps between the trial state and previously obtained solutions of the HF equations. These functions involve multipliers which are then reduced to zero to obtain the next solution.