Survival probability of compound nuclei in heavy-ion fusion reaction

Abstract

We have developed an empirical formula to calculate the survival probability of 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 using ten different entrance channel parameters; one of these displays the smoothest variation. That channel is Z 2/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 Z 2/A term. Furthermore, the evaporation residue cross-section is maximum at a certain beam energy, called the optimal energy. Thus, finding the survival probability at the optimal energy is important in the synthesis of a superheavy nucleus. We have developed an empirical formula for the survival probability at the optimal energy to facilitate future superheavy nucleus synthesis.