Abdulghany Reda Abdulghany

The energy density formalism is implemented to study the binding energy of some heavy, superheavy and hyperheavy nuclei. The macroscopic contribution of binding energy is derived in the presence of a depression parameter in the nuclear density distribution, and the total energy is obtained by adding the shell and pairing correction to the macroscopic part. Total energy is studied with the variation of quadrupole ${{\beta }_{2}}$ and hexadecapole ${{\beta }_{4}}$ deformation parameters using different values of depression parameter. The addition of the shell and pairing corrections affects the behavior of the total energy especially the minimum position at specific deformation parameters, a second minimum in some cases are close to the first one, suggesting the possible existence of shape isomers. We minimized the total energy with respect to deformation and density depression parameters and obtained the binding energy of 208Pb, 238U, 252Cf, 280Cn, {285-289} Fl, 298Fl, 306120, 320126, 339136, 500174 and 700226. The binding energies obtained are in good agreement with the available experimental data. The difference between the binding energies obtained by this simple method and experimental ones is less than 0.13%.

Starting from three-parameter Fermi distribution of nuclear densities, we used two formulas, for calculating the half-density radius, to study the effect of variation of radius of daughter nucleus on both α-decay half-life and α-preformation factor. We compared the results of the aforementioned two formulas with the corresponding results obtained from the nuclear densities of Hartree–Fock calculation derived from the BSk2 Skyrme force. We considered >60 isotopes of Po and Rn α-emitter elements and studied the variation of half-life and preformation factor with density parameters. We found that the variation of density parameters of daughter nuclei highly affects the calculated half-life and the extracted value of preformation factor, but the behavior of these two quantities with variation of parent neutron number is almost independent of the density parameters.