Ti-Induced Fusion Reactions to Synthesis Superheavy Elements

Abstract

We have studied the Ti-induced fusion reactions for the synthesis of superheavy elements with atomic number in the range 104 ≤ Z ≤ 130 for all projectile target combinations. We have obtained a semi-empirical formula for fusion barrier heights (VB), positions (RB), curvatures of the inverted parabola (ħω) of Ti-induced fusion reactions for the synthesis of superheavy nuclei with atomic number in the range 104 ≤ Z ≤ 130 for all projectile target combinations. The present pocket formula produces fusion barrier characteristics of Ti-induced fusion reactions for the synthesis of superheavy nuclei with the simple inputs of the mass number (A) and the atomic number (Z) of the projectile and the target. We have also studied the compound nucleus formation probability, survival probability, and evaporation residue cross-sections of all possible Ti-induced fusion reactions to synthetize superheavy element. The fusion reaction having high survival probability and evaporation residue cross-sections is considered to be possible fusion reaction to synthetize superheavy elements. We have identified the most probable Ti-induced fusion reactions to synthesize superheavy elements of atomic number in the range Z = 104–126. Our predictions may be a guide for the future experiments in the synthesis of more superheavy elements using Ti-induced fusion reactions.