Mean-field Nuclear Structure Calculations on a Basis-spline Galerkin Lattice

Our goal is to carry out high-precision nuclear structure calculations in connection with Radioactive Ion Beam Facilities. The main challenge for the theory of drip line nuclei is that the outermost nucleons are weakly bound (implying a large spatial distribution) and that these states are strongly coupled to the particle continuum. For these reasons, the traditional basis expansion methods fail to converge. We overcome these problems by representing the nuclear Hamiltonian on a lattice utilizing the Galerkin method with Basis-Spline test functions. We discuss tests of the numerical method and applications to the deformed shell model, HF+BCS and HFB mean field theories.