Phenomenological Nuclear Potential Shapes for Optical Model Analyses of 16O+12C Elastic Scattering

Abstract

Optical model analyses of the 16O+12C elastic scattering at the incident energies ELAB=62, 75, 80, 94.8, 100, 115.9 and 124 MeV were performed by using different phenomenological potential forms. Possible complex nuclear potential forms, which would provide a certain degree of agreement between the experimental data and the theoretical calculations, were examined in the construction of the optical potential. The structure of the considered nuclear potentials consisted of a deep, attractive, WS2 (Woods-Saxon square) type real part and relatively shallow, absorptive imaginary parts. The imaginary potential shapes investigated in this study were chosen in four different forms; WSV (Woods-Saxon volume), WS2V, WSV+ WSDS (Woods-Saxon Differential surface) and WS2V+WSDS. It was found that, the analyses with the potentials having WSV+WSDS type and WS2V+WSDS type imaginary parts produced similar results that explained the differential cross-section measurements of the 16O+12C system better than the other phenomenological potential forms. The agreement between the theoretical analyses and the experimental data was determined by using usual χ2 criterion.