A new algorithm for large scale shell model calculations and its applicability to medium-heavy and neutron rich nuclei

An upgraded version of an algorithm developed few years ago for diagonalizing large matrices has been implemented for the nuclear shell model eigenvalue problem. The use of a spin uncoupled basis yields a quite sparse Hamiltonian matrix. Its dimensions are further reduced effectively by an importance sampling specific of the method. Some numerical examples enphasizes the potential of the revised algorithm