Configuration mixing calculation for complete low-lying spectra with a mean-field Hamiltonian

Abstract

We propose a new theoretical approach to ground and low-energy excited states of nuclei extending the nuclear mean-field theory. It consists of three steps: stochastic preparation of many Slater determinants, the parity and angular-momentum projection, and diagonalization of the generalized eigenvalue problems. The Slater determinants are constructed in the three-dimensional Cartesian coordinate representation capable of describing arbitrary shape of nuclei. We examine feasibility and usefulness of the method by applying the method with the Bonche-Koonin-Negele interaction to light 4N nuclei, C12, O16, and Ne20. We discuss difficulties of keeping linear independence for basis states projected on good parity and angular momentum and present a possible prescription. © 2006 The American Physical Society.