\begin{document}$\Delta R$\end{document} in deformed choice of nuclear potential along with the simple Wong formula is capable of retracing experimental data. In the SAGBD model, the simple Wong formula is weighted by a Gaussian function. The SAGBD model with different choices of diffuseness has been explored, and fusion yields have been found to be relatively sensitive to the choice of diffuseness of Woods-Saxon potential. SAGBD outcomes with Winther and Akyüz-Winther diffuseness are unable to retrieve experimental data. To improve theoretical predictions, the diffuseness is optimized relative to Winther and Akyüz-Winther value, and theoretical outcomes with an optimized diffuseness parameter within SAGBD model address the fusion behaviour of 40Ca + 46,48,50Ti reactions well. Coupled channel analysis of given reactions, wherein the influences of low-lying vibrational states of participants are directly considered, readily reproduced the fusion data for all studied systems. The low-lying vibrational 2+ and 3– states are found to be sufficient to reproduce the fusion data for 40Ca + 46,48Ti reactions. However, for 40Ca + 50Ti reactions, in addition to low-lying 2+ and 3– vibrational states, the considerations of a pair neutron transfer channel is required to address sub-barrier fusion data."> Sub-barrier fusion analysis of <sup>40</sup>Ca + <sup>46,48,50</sup>Ti systems -
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