Role of shell effects in the reaction dynamics of low-energy heavy ion collisions forming compound nucleus ²¹⁴Rn*

Heavy ion fusion reactions around Coulomb barrier are a rich source of information about the properties of compound nucleus (CN) and have been a topic of extensive experimental and theoretical research. The CN resulting from these reactions are sensitive towards the entrance and exit channels aspects such as equilibration in energy, mass, angular momentum and nuclear structure, etc. For the shell correction energies, which are the microscopic component of fission barrier, there is a great surmise that shell closure at Z=82 and N=126 favours survival probability of CN against fission. In the present work an attempt has been made to understand such aspects within the quantum mechanical fragmentation theory (QMFT), using ²¹⁴Rn* compound nucleus formed by ¹⁶O projectiles on ¹⁹⁸Pt target, at different excitation energies. In the present work we are trying to see the effect of neutron shell closure in the decay process of CN ²¹⁴Rn*, as it has neutron number N=128, which is very near the neutron magic number N=126. The calculations for the fragmentation potential and P₀ have been made in the decay of ²¹⁴Rn* at the excitation energy E* = 49 MeV. Interestingly, these calculations reveal that among the FF fragments (A_CN/2±20), most significant minima exist for ⁸⁶Kr (and its complimentary fragment ¹²⁸Sn) or having highest P₀ for these fragments. It is important to note here that both the fragments are magic nuclei having N=50 and Z=50 for ⁸⁶Kr and ¹²⁸Sn, respectively. These preliminary results are quite motivating to study the complete reaction dynamics of ²¹⁴ Rn* within the DCM