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   4 6 , 4 8 , 5 0 Ti as projectiles were taken into consideration for various targets, producing compound nuclei with atomic and mass number ranges of 4 4 ≤ Z ≤ 1 0 4 and 9 2 ≤ A ≤ 2 5 8 , 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   4 8 Ti +   1 2 2 Sn and   4 8 Ti +   1 6 6 Er 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   1 7 0 Hf and   2 1 4 Th. [ABSTRACT FROM AUTHOR]