Nuclear Structure and Dynamics from the Fully Unrestricted Skyrme-Hartree-Fock Model

The ground-state structures and dynamical properties of nuclei are studied within the Hartree-Fock approach using the Skyrme effective interaction. The full energy functional, including all the time-odd densities required to preserve Galilean invari-ance in dynamical simulations, as well as the spin-current tensor density have been implemented and tested within a three-dimensional time-dependent Hartree-Fock model and their contributions to the overall energy within a selection of systems are investigated. The influence of the tensor component of the Skyrme interaction is studied on the single-particle structures in superheavy elements using the spherical Skyrme-Hartree-Fock model and a selection of modern forces, including the added tensor terms with realistic coupling strength parameters. It is found that the inclusion of the tensor terms leads to a modification of the single-particle structure in these nu-clei, with possible new shell closures predicted to open, particularly within neutron-rich isotopes of superheavy elements. A series of calculations have also been performed for 16O + 16O and 28Si + 16O collisions at a variety of centre-of-mass energies and impact parameters in order to study the role of the time-odd densities and full spin-current tensor within symmetry unrestricted dynamical simulations. The inclusion of the time-odd terms is shown to lead to significant modifications to the fusion threshold energies for the systems investigated. Fusion thresholds are also found to be modified by the choice of coupling strength parameters for the J2 terms, in particular the contributions from the tensor parts even in cases where the terms have little or no contribution to the single-particle properties in the nuclear ground-states. i i