Search of Possible Double Magic Nuclei in the Superheavy Valley Using Relativistic Mean Field Density Depending Coupling Models

The magic nature and the stability of the various possible stable combinations of the nucleons (proton and neutron) are scrutinized with the help of density dependent relativistic mean filed model (DDRMF). To analyze the parameter dependence of our calculation three different parameters namely, DD-ME1, DD-ME2 and PKDD are used to calculate relevant properties of finite nuclei. In the present context S_2n and δ_2n are taken as the befitting quantities for the magic nature, and the existence of these predicted magic nuclei are justified from E_B/A and λ. Finally the stability is studied by calculation of α-decay and β-decay half lifetime. Our calculation shows that certain combinations of nucleons i.e. Z = 114, 120 and 126 with N = 172, 184 and 198 respectively are best pair in their immediate neighbors to synthesize experimentally.