Narrow Results

In this paper, a simultaneous analysis of the elastic scattering data of the ¹⁶O+¹⁶O system for the energy range 5–10 MeV/nucleon is performed theoretically within the framework of the optical model formalism, by using the α–α double folding cluster potential. The α–α double folding cluster potential is evaluated by using the α-cluster distribution densities in the usual nucleon–nucleon double folding process with an effective α–α interaction potential. The results of the α–α double folding cluster potential analysis are compared with the findings of the phenomenological Woods–Saxon squared and nucleon–nucleon double folding potentials. All potentials have exhibited a very good agreement with the experimental measurements for the elastic scattering angular distributions. Furthermore, it is shown that, the α–α double folding cluster potential and nucleon–nucleon double folding potential calculations provide very consistent results with each other. Thus, the ¹⁶O+¹⁶O system has been described by optical potentials having a deep real potential part and a weak absorptive imaginary potential part.

This paper comprises the first detailed application of the microscopic potentials for a simultaneous analysis of the elastic scattering and fusion cross-section data of the ¹²C+²⁴Mg system from 16.0 MeV to 24.0 MeV. We use the microscopic nucleon-nucleon double folding and α-α double folding cluster potentials within the framework of the optical model and coupled-channels formalism. We compare our microscopic potential results with the findings of the phenomenological deep and shallow potentials. All potentials provide a very good agreement with the experimental data for the elastic scattering angular distributions. However, only deep phenomenological, the microscopic nucleon-nucleon and α-α double folding cluster potentials provide a consistent description of the angular distributions and fusion cross-section data simultaneously.

The accurate calculations of the cluster formation model (CFM) have been extended to determine the alpha cluster preformation probability for the three even–even superheavy isotopes (Hs, Ds and Cn) with atomic number $Z=108,110$ and 112 and neutron numbers $144\le N\le 188$ in the mass region from 252 to 300. According to the hypothesized CFM, the calculations of the formation energy and surface energy, which depended on differences of binding energies are crucial for determining the realistic values of the preformation probability. Our results showed reasonable agreement with the results of previous work for the heavy nuclei. In addition, realistic values of the preformation probability certified that CFM can successfully be used to calculate the alpha cluster preformation probability for other wide range of superheavy nuclei.