Deformation dependent optimal energies for the superheavy element production

Synthesizing superheavy element after Z= 118 using either cold or hot fusion reactions is not achieved till now. This is due to the small value of the production cross-section corresponding to the most suitable missile-target combination which exceeds the lower limit of experimental detection. Almost all projectile targets are optimized using different theories. In the present work, we have identified the optimal energies for fusion reactions leading to the synthesis of the superheavy elements using advanced statistical model (ASM) with the support of quasielastic barrier distribution and fusion barrier distribution. The optimal energy governing rule is developed by studying the entrance channel parameter such as Coulomb interaction parameter, fusion barrier position and quadrupole deformations of projectile and target. The energies produced by this rule agree with recent experiments [Phys.Rev.C 106, L031301, Phys.Rev.C 106, 024612]. Furthermore, we predicted the Optimal energies for fusion reactions leading to synthesize the superheavy element Z=119 and 120. The presented empirical rule will certainly bring a revolution in the synthesis of superheavy elements.