Nature of the fission barrier heights of trans-uranium

The theories of nuclear fission are guided by the extensive calculations of the potential energy surfaces (PES) in the multi-dimensional deformation space defining the shape of a deforming nucleus on the way to fission. Many approaches have been used for this. A well established technique is the microscopic-macroscopic (mic-mac) approach in which the macroscopic part is given by the liquid drop energy and the microscopic part is given in terms of Strutinsky shell correction. We have used the mic-mac approach to calculate the PES by using the Cassini ovaloid shape parameterization for nuclear potential. This formalism is due to Garcia et al. In this formalism, the single particle energies as a function of deformation parameters are calculated from an axially deformed Woods-Saxon potential. This single particle level scheme is used to calculate the shell and pairing corrections to the liquid drop energy (smooth macroscopic part) in Strutinsky approach