Dynamical aspects of Ti48+Fe58,Ni58→Cd*106,Sn*106 reactions at energies near the Coulomb barrier

The study of the heavy-ion reactions at the near- and sub-barrier regimes gives immense information about the nuclear structure and the involved reaction dynamics. It has been observed that a slight difference in the nuclear structure may lead to a significant change in the sub-barrier fusion excitation functions. The studies of different trends of excitation functions below the Coulomb barrier region due to dissimilar structures of the nuclei, which are involved in the reaction, are available in literature. To understand the role of different structures and dynamics involved in such reactions, an investigation of $^{48}\mathrm{Ti}$-induced reactions on $^{58}\mathrm{Fe}$ and $^{58}\mathrm{Ni}$ forming $^{106}\mathrm{Cd}^{*}$ and $^{106}\mathrm{Sn}^{*}$ compound nuclei (CN), respectively, has been made at similar ${E}_{\mathrm{c}.\mathrm{m}.}/{V}_{b}$ values within the framework of the dynamical cluster decay model (DCM). The difference in the structure between the nuclei is quite notable with $^{58}\mathrm{Ni}$ and $^{106}\mathrm{Sn}^{*}$ having a proton shell closure ($Z=28$ and 50, respectively). Within the DCM, the experimental fusion evaporation cross sections are reproduced using deformed configurations effects included up to quadruple deformations (${\ensuremath{\beta}}_{2i}$) for two nuclei having optimum orientations ${\ensuremath{\theta}}^{\mathrm{opt}.}$. The fusion evaporation data at near- and sub-barriers has been explained through the calculated enhanced $\mathrm{\ensuremath{\Sigma}}{P}_{0}$ values of the decaying channels in the case of $^{106}\mathrm{Cd}^{*}$ in comparison to $^{106}\mathrm{Sn}^{*}$. Moreover, it is observed that the quantum tunneling of the fragments is less hindered in the case of $^{106}\mathrm{Cd}^{*}$ as compared to $^{106}\mathrm{Sn}^{*}$ at the lower values of ${E}_{\mathrm{c}.\mathrm{m}.}/{V}_{b}$, i.e., having less barrier modification ($\mathrm{\ensuremath{\Delta}}{V}_{B}$) in the case of the former. The role of magicity has been further explored with the plotted values of the ratio of fusion cross sections (${\ensuremath{\sigma}}_{\mathrm{fus}}$) of CN $^{106}\mathrm{Sn}^{*}$ and $^{112}\mathrm{Xe}^{*}$ (formed in the reaction with both the projectile $^{58}\mathrm{Ni}$ and target $^{54}\mathrm{Fe}$ having proton and neutron magicity, respectively) with respect to $^{106}\mathrm{Cd}^{*}$, which are highly suppressed in the case of the latter in comparison to the former, particularly, below the Coulomb barrier.