Systematics of heavy ion fusion with entrance channel and deformation parameters

Abstract

We have presented the systematics of fusion evaporation with deformation and entrance channel parameters based on 107 experiments in the pre-actinide, actinide, and superheavy region. The experimental evaporation residue cross sections were successfully reproduced by advanced statistical model (ASM) and dinuclear system model (DNS) models. Among the studied entrance channel parameters, the Coulomb interaction parameter $z$ and mean fissility ${\ensuremath{\chi}}_{m}$ influence effectively the fusion reactions. Deformation effects are also included. It can also be concluded that the fusion of two spherical nuclei yields the largest ${\ensuremath{\sigma}}_{\text{ER}}$. The highest ${\ensuremath{\sigma}}_{\text{ER}}$ that can obtained is dictated by the properties of the entrance channel parameters such as Coulomb interaction parameter and mean fissility parameter. By studying these systematics, we have established an entrance channel and deformation parameter dependent empirical formula for maximum evaporation residue cross sections. The presented formula is useful in determining evaporation residue cross sections of the heavy ion fusion reaction to synthesize heavy and superheavy nuclei.