Structure and reaction studies of Z=120 isotopes using non-relativistic and relativistic mean-field formalisms
Document Type
Article
Publication Date
8-1-2023
Abstract
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 Br & uuml;ckner 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 Br & uuml;ckner functionals. The shifting of the peak in the symmetry enerngy with the Br & uuml;ckner 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.
Keywords
Effective field theory motivated relativistic mean-field, Skyrme-Hartree-Fock, charge distribution radius, pairing gap, surface properties, symmetry energy, Coester band
Divisions
PHYSICS
Publication Title
Pramana-Journal of Physics
Volume
97
Issue
3
Publisher
Indian Academy of Sciences
Publisher Location
C V RAMAN AVENUE, SADASHIVANAGAR, P B #8005, BANGALORE 560 080, INDIA