Structure and reaction studies of Z = 120 isotopes using non-relativistic and relativistic mean-field formalisms

An extensive study is carried out for the island of stability in the superheavy nuclei Z = 120 and N = 164–220 within the effective field theory motivated relativistic mean-field (E-RMF) and the non-relativistic Skyrme–Hartree–Fock (SHF) approaches. The relativistic (G3 and IOPB-I) and non-relativistic (SLy4 and SkMP) parameter sets are used for the investigations. The SHF and E-RMF energy functionals are obtained following the recent approach developed by Patra et al (Phys Rev C 103, 024305, 2021). Surface properties, such as symmetry energy, neutron pressure and the curvature coefficient of symmetry energy are discussed within the coherent density fluctuation model (CDFM) using the Skyrme and the Brückner energy density functionals. The volume and surface contributions of symmetry energy are evaluated using Danielewicz's liquid drop approximation within the CDFM. The total nuclear reaction and elastic differential cross-sections are also obtained for both SHF and E-RMF densities within the Glauber model. The peaks in the symmetry energy at N = 182 for SHF and N = 184 for E-RMF are seen, which are absent in the Brückner functionals. The shifting of the peak in the symmetry energy with the Brückner functional can be correlated to the Coester-band problem. The enhanced total reaction cross-section for relativistic density of 304 120 suggests the extra stability. This confirms the shell/sub-shell closure at N = 184 in the E-RMF force and N = 182 in the SHF. (author)