Investigations on the Ti-induced fusion cross-sections in the range 44≤Z≤104

As a function of the barrier height, center-of-mass energy, Coulomb interaction parameter and Z(2)/A, a new empirical formula for the astronomical S-factor has been proposed. Around 14 fusion reactions using 46,48,50 46,48,50Ti as projectiles were taken into consideration for various targets, producing compound nuclei with atomic and mass number ranges of 44 <= Z <= 104 and 92 <= A <= 258, respectively. The geometric factor, Gamow-Sommerfield factor and empirical S-factor formulas have been used to determine the fusion cross-sections. Compared to Wong's formula, this study shows a better agreement with the available experiments except for the Ti-48+Sn- 122 and Ti-48+ Er-166 fusion reactions. When employed to correlate with the experimental data on titanium-induced fusion reactions, this study yields a lower standard deviation value than Wong's formula except for the fusion reactions leading to the formation of compound nuclei Hf- 170 and( 214)Th.