Elastic scattering analysis of α+28Si using energy density functional

Abstract

In this work, we use the energy density functional (EDF) to study α-clustering and α-scattering from ²⁸Si. With the help of the convolution theorem, the α-cluster density distribution inside the ²⁸Si nucleus is determined by minimizing EDF. The single and double folding models use the obtained cluster density to get α+²⁸Si real part of the optical model potential. The α+²⁴Mg cluster structure is used as an alternative cluster configuration for ²⁸Si in order to create the real cluster folding potential and validate the EDF model. For the imaginary part, we use either the Woods-Saxon (WS) or square Woods-Saxon (WS²) forms. Furthermore, the WS² phenomenological potential is used for comparison. Our analysis shows that the current α-cluster model successfully reproduces the experimental data from α+²⁸Si elastic scattering, nearly identical to the cluster folding potential generated using the α+²⁴Mg cluster structure. The models implemented did not yield successful results for all experimental data at energies below 50 MeV, which is consistent with previously proposed theoretical models and methods. Moreover, these models demonstrate considerable success at energies exceeding 100 MeV. Therefore, the EDF can be employed to study the ground-state α-cluster of the ²⁸Si nucleus.