Investigation on Xenon-Induced Fusion Reaction to Synthesize Superheavy Element (SHE) Z=119

We looked at Xe-induced fusion reactions that resulted in the formation of the SHE Z=119. In this view, we considered four projectiles such as \(^{130}\) ${}^{130}$ Xe, \(^{132}\) ${}^{132}$ Xe, \(^{134}\) ${}^{134}$ Xe, and \(^{136}\) ${}^{136}$ Xe on \(^{157-159}\) ${}^{157-159}$ Tb. For the study of evaporation residue cross-sections, we investigated 12 fusion processes in total. Using an advanced statistical model, we assessed the probability of compound nucleus formation ( \(P_{CN}\) $P_{\mathit{CN}}$ ), survival probability( \(P_{Sur}\) $P_{\mathit{Sur}}$ ), and evaporation residue cross-sections ( \(\sigma _{EVR}\) ${\sigma }_{\mathit{EVR}}$ ). The measured ( \(P_{CN}\) $P_{\mathit{CN}}$ ) at optimal energy decreases as the mass number of projectile nuclei increases. In contrast, as the projectile-mass number increases, so does the likelihood of survival. For \(^{136}\) ${}^{136}$ Xe+ \(^{159}\) ${}^{159}$ Tb fusion reaction, the \(P_{Sur}\) $P_{\mathit{Sur}}$ and \(\sigma _{EVR}\) ${\sigma }_{\mathit{EVR}}$ are found higher value. When Xe-induced fusion events were considered, the expected cross-sections, which are in the order larger than femtobarn range, will serve as a roadmap for the synthesis of the SHE Z=119.