Compound nucleus formation probability of heavy and superheavy nuclei synthesized using heavy ion fusion reactions

The role of entrance channel parameters such as $Z^2/A$, charge asymmetry ${\alpha }_z$, mass-asymmetry (${\eta }_A$), charge product ($Z_1{Z}_2$), mean fissility ${\chi }_m$, Coulomb interaction parameter and $(N-Z)/(N+Z)$ on compound nucleus formation of actinide nuclei using heavy ion fusion reactions were investigated. For the formation of compound nuclei, the considered atomic number range of the projectile varies between $5\le Z\le 14$ and the mass number lies between $10\le A\le 34$. Similarly, the studied target atomic number varies between $78\le Z\le 92$ and the mass number range is $197\le A\le 238$. Among these entrance channel parameters, $P_{CN}$ is more systematic for $\frac{(N-Z)}{(N+Z)}$, $Z^2/A$ and ${\alpha }_z$. In addition to entrance channel parameters, the $E_{cm}$ and $E_{Bass}$ also play a significant role in the prediction of $P_{CN}$. The proposed empirical formulae are applicable to the compound nuclei from Fr to Sg. These findings are significant for the $P_{CN}$ prediction from Fr to Sg.