We would like to optimize the commonly used "universal"
parametrisation of the deformed Woods-Saxon hamiltonian, in particular,
in order to better simulate the effect of the average neutron-proton
interactions which are rather poorly represented so far. We would then
also further develop the density-dependent version (partly self-consistent
version) of the spin-orbit interactions in the Woods-Saxon hamiltonian.
With the improved hamiltonian we expect to obtain a more
reliable predictions related to the nuclear hyperdeformation and the
corresponding realistic, hyperdeformed shell-closures.
We would like to extend and to improve the high-spin calculations
of the properties of the hyper-deformed nuclear states by introducing
the Dirac mean field hamiltonian consisting from the scalar and vector
potentials. The form of the Dirac hamiltonian is established on
basis of the relativistic mean field theory and its parameters will be
fixed by a direct fit to the experimental data.