Nuclear ground-state properties and self-consistent calculations with the skyrme interaction: (I). Spherical description

Abstract

The parameters of the effective Skyrme interaction are determined by requiring that they accurately reproduce the total binding energies and charge radii of magic nuclei in spherical self-consistent calculations. It is shown that many parameter sets can satisfy these requirements. They differ essentially by the single-particle spectra they give. A detailed study of the influence of the force parameters on the binding energies, charge densities, radii and single-particle energies of magic nuclei is made. Extensive self-consistent calculations covering over two hundred nuclei have been performed in a spherical scheme using one of the parameter sets. The effects of pairing correlations are discussed. The magnitude of the corrections due to the deformation in the rare earth region is indicated. The good overall agreement of the results with experimental data shows that the Skyrme parametrisation of the effective interaction is adequate. The remaining discrepancies may be attributed essentially to dynamic collective effects not included in the present approach.