Hartree-Fock Calculations with Skyrme's Interaction. II. Axially Deformed Nuclei

Skyrme's interaction is used in deformed Hartree-Fock calculations of some light and rare-earth nuclei. A method of solution is presented, which exploits as much as possible the simple features of the Skyrme force in order to allow calculations of heavy deformed nuclei. In the rare-earth region pairing correlations are taken into account in a simplified but self-consistent way by considering energy functionals depending also on occupation probabilities. Calculations have been made for the two parameter sets which were used in a previous study of double-closed-shell nuclei. The set providing the best fit to ground-state properties of spherical nuclei is also found to give a satisfactory description of nuclear deformations. Comparison is made with other available Hartree-Fock calculations in the case of light nuclei, and a discussion of the importance of various terms in the effective force upon nuclear deformations is given.