Prediction of fusion cross-sections in ⁴⁰Ar-induced fusion reactions

A new empirical formula for the astrophysical S-factor has been presented as a function of the barrier height, center of mass energy, Coulomb interaction parameter. A total of 23 fusion reactions involving ⁴⁰Ar projectiles with different targets were taken into account. The proposed formula is applicable in the atomic number and mass number range of compound nuclei \(38\le Z\le 110\) $38\le Z\le 110$ and \(80\le A \le 278\) $80\le A\le 278$ respectively. Further, we studied the fusion cross-sections of ⁴⁰Ar projectiles using Wong formula, and Glas - Mosel formula for ⁴⁰Ca to \(^{238}\) $_{}^{238}$ U targets. The projected fusion cross-sections using the S-factor correlate well with the observed value. This research might lead to the discovery of new isotopes of superheavy elements via ⁴⁰Ar-induced fusion processes. Furthermore, this research allows for the investigation of issues such as Coulomb fission, quasi-fission, and fusion-fission processes in the production of superheavy elements.