Examining the Z = 126 Magic Neutron Number Combinations in the Super Heavy Valley Using Relativistic Mean Field Formalism

We investigate some bulk properties of the super heavy element Z = 126 isotopic series within the range 306 \(\leqslant \) A \(\leqslant \) 366. The relativistic mean field theory with NL3* parameter set and the FRDM and WS models are used to interpret the bulk properties. The structural properties like binding energy, charge distribution radius, quadrupole deformation parameter, two neutron separation energy, and neutron skin thickness are determined for the above regions for all three considered models, which is very promising. We find a little bump at N = 226 with the NL3* parameter set in the BE/A curve, which indicates the extra stability among the isotopic series. The NL3* parameter has shown an advantage over WS results in the case of charge distribution radius, showing peaks at different neutron numbers noted as N = 188, 210, 212, and 226. We noticed various ground state shape similarities at neutron number N = 182 for both NL3* set and FRDM model and WS at N = 198 and 226. This abnormal behavior suggests that shell effects may exist in this region.