Signatures of non-coplanarity in hot fusion reaction ¹²C+⁹³Nb via P_CN and P_surv determined on dynamical cluster-decay model

In recent works, we introduced and estimated for the first time the compound nucleus (CN) formation probability P_CN and the survival probability P_surv, using the dynamical cluster-decay model (DCM) of Gupta and collaborators, and applied to various 'hot' fusion reactions. Interestingly, independent of the nuclear interaction potentials used, the variation of P_CN and P_surv on CN excitation energy E*, fissility parameter χ, CN mass A_CN and Coulomb parameter Z₁Z₂, allow us to classify the considered compound systems into three groups, namely, weekly fissioning, radioactive and strongly fissioning superheavy nuclei. For ¹²C+⁹³Nb reaction, forming ¹⁰⁵Ag*, only co-planar (Φ= 0⁰) nuclei were considered, which gave arise to an unrealistic result of P_CN belonging to the super-heavy group (²⁹²Fl*, ²⁸⁶Cn*), and P_surv to weakly fissioning group of nuclei (¹⁶⁴Yb, ^176−196Pt*, ²⁰²Pb and ^213,217Fr*). In this work, we allow the non-coplanar degree-of-freedom (Φ≠0⁰) and apply the DCM to ¹²C+⁹³Nb→¹⁰⁵Ag* reaction. The important result is that, with Φ≠0⁰, both P_CN and P_surv belong to the weekly fissioning nuclei, the group to which ¹⁰⁵Ag* belongs