Analysis of elastic scattering cross sections of 16”O 27ON” Al and 154Sm using the semi-microscopic double folding model

Abstract

The elastic scattering data for¹⁶ O +²⁷ Al at a laboratory energy (ELab ) of 134 MeV and¹⁶ O +¹⁵⁴ Sm at E_Lab = 85 and 134 MeV were analyzed using the optical model-based double-folding model. The real component of the optical model potential was generated from the microscopic double-folding (DF) model, while the imaginary part was considered using both microscopic and Woods-Saxon phenomenological forms. Two density-independent effective nucleon-nucleon (NN) interactions were considered in the DF procedure: the Michigan-3-Yukawa (M3Y) and Knyazkov and Hefter (KH). The folded potential was constructed using Two-parameter Fermi (2pF) density distribution for the target nuclei and three different forms of projectile density: Two-parameter Fermi (2pF), Slater determinants consisting of harmonic oscillator single-particle wave functions (SDHO), and DiracHartree-Bogoliubov (DHB) density distributions. The SDHO density exhibited slightly better agreement with the data than 2pF and DHB. The results obtained using the KH interaction were highly consistent with those achieved with the M3Y interaction. In general, the DF model-based calculations compared reasonably well with the experimental data.