Properties of Z=120 nuclei and the \alpha-decay chains of the (292,304)120 isotopes using relativistic and non-relativistic formalisms

The ground state and first intrinsic excited state of superheavy nuclei with Z=120 and N=160-204 are investigated using both non-relativistic Skyrme-Hartree-Fock and the axially deformed Relativistic Mean Field formalisms. We employ a simple BCS pairing approach for calculating the energy contribution from pairing interaction. The results for isotopic chain of binding energy, quadrupole deformation parameter, two neutron separation energies and some other observables are compared with the FRDM and some recent macroscopic-microscopic calculations. We predict superdeformed ground state solutions for almost all the isotopes. Considering the possibility of magic neutron number, two different mode of \alpha-decay chains (292)120 and (304)120 are also studied within these frameworks. The Q_{\alpha}-values and the half-life T^{\alpha}_{1/2} for these two different mode of decay chains are compared with FRDM and recent macroscopic-microscopic calculations. The calculation is extended for the \alpha-decay chains of 292120 and 304120 from their exited state configuration to respective configuration, which predicts long half-life T^{\alpha}_{1/2}(sec.).