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An extensive study is carried out for the island of stability in thesuperheavy nuclei of Z=120 and N=164-220 within the effective field theorymotivated relativistic mean-field (E-RMF) and the non-relativisticSkyrme-Hartree-Fock (SHF) approaches. The relativistic G3 and IOPB-I andnon-relativistic SLy4 and SkMP parameter sets are used for the investigations.Surface properties such as symmetry energy, neutron pressure and the curvaturecoefficient of symmetry energy are discussed within the coherent densityfluctuation model (CDFM) using the Skyrme and the Br\"uckner energy densityfunctionals. The volume and surface contributions of symmetry energy areevaluated using Danielewicz's liquid drop approximation within the CDFM. Thetotal nuclear reaction and elastic differential cross-sections are alsoobtained for both SHF and E-RMF within the Glauber model. The peaks in thesymmetry energy at N = 182 for SHF and N=184 for E-RMF are seen, which areabsent in the Br\"uckner functional. The shifting of peak in the symmetryenergy with Br\"uckner functional can be correlated to the Coester-bandproblem. The enhanced total reaction cross-section for relativistic density of$^{304}120$ suggests the extra stability of this nucleus. This further confirmsthe shell/sub-shell closure of N = 184 in E-RMF force. The differentialcross-section shows its force independent nature and significant increase withthe scattering angle.

Structure and reaction study of Z=120 isotopes using non-relativistic and relativistic mean-field formalism