Application of reduction methodology for halo, weakly and tightly bound projectiles on tin isotopes

The total reaction cross sections for systems with medium–heavy-mass range targets of Sn isotopes including ¹¹⁶Sn, ¹¹⁸Sn, ¹²⁰Sn, and ¹²⁴Sn, along with different projectiles ranging from tightly bound to weakly bound and halo, were taken from the literature and compared by reducing them to eliminate trivial effects due to different sizes and different Coulomb barriers. In addition, for all the systems considered, one-channel calculations accounting only for fusion were performed to study the quantitative effect of the direct reaction channels on the total reaction cross section.