Single-particle calculations in an axially deformed Woods-Saxon potential with Cassinian ovals parametrization of the shape deformation Original Research Article

Single-particle energies and wave functions of an axially deformed Woods-Saxon potential are computed. The nuclear shape may be defined in terms of an expansion into spherical harmonics or in terms of Cassinian oval parameterization. The standard liquid drop model constants, effective barriers for the unbound states, single-particle quadrupole moments and g-factors are also calculated. The applied shape parameterization of the potential well allows to generate the single particle orbitals also for the extreme deformations, even for two-centre-type problems.