Compound nucleus formation probability for superheavy nuclei

The present work delves into compound nucleus formation probabilities in superheavy nuclei, developing empirical formulas incorporating deformation, entrance channel properties, and energy dependencies. The present formula also included shell correction. Experimental validation ensures the reliability of these formula. We have applied them to fusion reactions involved in synthesizing superheavy elements from $Z=104$ to 118, enhancing our understanding of nuclear structure and stability. Excitingly, the present study identifies fusion reactions with higher probabilities, potentially enabling the synthesis of elements with $Z=119$ and 120. The fusion reaction ⁵⁸Fe+²³⁷Np and ⁶⁴Ni+²³⁸U has a larger fusion probability among the attempted fusion reactions to synthesize superheavy elements $Z=119$ and 120, respectively. Such knowledge not only advances our understanding of nuclear dynamics but also informs future experiments aimed at synthesizing and characterizing elusive superheavy elements by bridging the gap between theory and experiment. The present work offers a roadmap for navigating this frontier, guiding experimental efforts toward achieving breakthroughs in superheavy element research.