Abstract
The experimental fusion excitation functions of the reactions $^{48}\mathrm{Ti}+^{58}\mathrm{Fe}$ and $^{58}\mathrm{Ni}+^{54}\mathrm{Fe}$, measured down to the low sub-barrier energies, are described within the quantum diffusion approach and the universal fusion function representation. For these systems, the $s$-wave capture probabilities are extracted from the experimental excitation functions and are also analyzed. An enhancement of the sub-barrier fusion cross section observed in the $^{48}\mathrm{Ti}+^{58}\mathrm{Fe}$ reaction in comparison to the relatively close system $^{58}\mathrm{Ni}+^{54}\mathrm{Fe}$ is explained.
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