Neck effects on the potential energy of superdeformed nuclei

The neck effects on the deformation energy of the two superdeformed nuclei ' 152 Dy, and 190Hg 'have been studied within the liquid drop model including a proximity energy term. The nuclear shape is considered to be two spheroids connected with a hyperboloid in the neck region. The energy is calculated as a function of a necking in parameter at different values of the ratio between the two axis of the hyperboloid. The calculated results show a strong dependence of the deformation energy on the neck geometry. The inclusion of proximity interaction in the neck region has an exciting result of producing minima in the energy curve with certain neck geometry. Such pockets in the energy allow the nuclei to exist in deformation states.