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

Abstract

As a function of the barrier height, center-of-mass energy, Coulomb interaction parameter and [Formula: see text], a new empirical formula for the astronomical [Formula: see text]-factor has been proposed. Around 14 fusion reactions using [Formula: see text]Ti as projectiles were taken into consideration for various targets, producing compound nuclei with atomic and mass number ranges of [Formula: see text] and [Formula: see text], respectively. The geometric factor, Gamow–Sommerfield factor and empirical [Formula: see text]-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 [Formula: see text] and [Formula: see text] 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 [Formula: see text]Hf and [Formula: see text]Th.