Fusion hindrance of $^{48}$Ti + $^{138}$Ba reaction
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We have already measured the ER excitation function of $^{48}$Ti + $^{138}$Ba reaction around the Coulomb barrier. While a detailed report of measurement of ER excitation function of $^{48}$Ti + $^{138}$Ba is available in literature, the present paper compares it with other channels forming the same compound nucleus. The experiment was performed at IUAC, New Delhi for lab energies from 189.3 to 234.4 MeV, where the ER cross sections show an abrupt fall beyond 160.03 MeV. The decrease in ER cross section is attributed to non compound nuclear reaction such as quasi-fission (QF). A comparison with statistical model code PACE 4 also shows significant deviation of the experimental data from theoretical predictions. When this reaction is compared with $^{86}$Kr + $^{100}$Mo and $^{64}$Ni + $^{122}$Sn forming the same compound nucleus $^{186}Pt^{*}$, the symmetric systems show more ERs than the asymmetric one and it is against the general trend. Preliminary study predict the influence of deformation and isospin asymmetry in the abrupt fall of ER cross section than that of the symmetric systems. A detailed theoretical analysis of the systems are in progress and will be published shortly.
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