Survival probability of compound nuclei in heavy ion fusion reaction

We have developed an empirical formula for survival probability for the superheavy nuclei by analyzing about 95 fusion experiments, which were classified into four categories based on the deformation parameters of a projectile-target system. Every category is analyzed in ten different entrance channel parameters; one of these displays the smoothest variation. That channel is none but the Z2/A, where Z and A are the atomic number and mass number, respectively. Further, the predicted empirical relation is improved by the inclusion of the fission barrier, separation energy, level density parameter, center of mass energy and fusion barrier height for the Z2/A term. Furthermore, the ER cross section is maximum at certain beam energy called the optimal energy. Thus finding the survival probability at the optimal energy is important to synthesizing a superheavy nucleus. We have developed an empirical formula for the survival probability at the optimal energy to facilitate future superheavy nuclei synthesis.