This study investigates the synthesis of superheavy elements through various fusion reactions, focusing on optimizing the conditions for successful production. By analyzing the excitation functions for reactions such as \(^{48}\text {Ca} + ^{244}\text {Pu}\) , \(^{48}\text {Ca} + ^{248}\text {Cm}\) , \(^{36}\text {S} + ^{238}\text {U}\) , \(^{48}\text {Ca} + ^{238}\text {U}\) , and \(^{50}\text {Ti} + ^{249}\text {Cf}\) , we examine the compound nucleus formation probability ( \(P_\textrm{CN}\) ), survival probability ( \(W_\textrm{sur}\) ), fusion cross-section ( \(\sigma _\textrm{fus}\) ), and evaporation residue cross-section ( \(\sigma _\textrm{ER}\) ). The peak in \(\sigma _\textrm{ER}\) aligns with the optimal energy range, supported by the quasi-elastic barrier distribution. The present hypothesis is applied to the Ti + Cf fusion reaction for the synthesis of the superheavy element 120. It predicts a maximum cross section of 86.8 fb at an optimal energy of \(225 \pm 2\) MeV. These findings are crucial for maximizing the synthesis of superheavy elements and demonstrate that energy optimization enhances the formation of evaporation residues.
