Direct energy minimisation methods in self-consistent nuclear fields

Abstract

An iterative minimum search for the energy functional in the space of one-body density matrices is introduced in order to get a full self-consistent description of nuclear ground state properties without the need for repeated diagonalisation procedures. Density-dependent interactions are taken into account and through suitable linearisation procedures a convergence rate much faster than in the usual Hartree-Fock procedure is obtained. An extension to the solution of the Hartree-Fock-Bogoliubov problem is also presented.