Investigation of elastic scattering angular distributions of ^12,13C + ^{90,91,92,94,96}Zr: a comparative analysis of different optical model potentials

The elastic scattering data of ¹² + ^{90,91,92,94,96}Zrat 66 MeV and ¹³C + ^{90,91,92,94,96}Zr at 64 MeV are reanalyzed within the framework of the optical model (OM) using phenomenological Woods-Saxon (WS) potential and microscopic double folding potentials. The microscopic potentials employed in the study are the velocity-dependent Sao Paulo Potential version 2 (SPP2), the Brazilian nuclear potential (BNP), and the density-dependent Michigan-3-Yukawa (CDM3Y6) potential. Both the real and imaginary parts of the microscopic potentials are constructed from the folding model. Comparative studies are performed for the real and imaginary potentials using the phenomenological and microscopic forms. The sensitivity of the elastic scattering cross sections to the three different folding potentials is tested and compared with the results obtained using the phenomenological WS potential. The analysis revealed that the results obtained with the SPP2 and BNP potentials fit the data well with renormalization factors N_R = 1 and N_I = 0.78 to 0.9 for the real and imaginary parts, respectively. Additionally, the CDM3Y6 potential required renormalization factors N_R = 0.6 to 0.8 and NI = 0.4 to 0.8 to fit the ¹²C elastic scattering data, and renormalization factors N_R = 0.7 to 1 and N_I = 0.4 to 0.8 to fit the ¹³C elastic scattering data. A notable finding from the present study is that the SPP2 potential successfully describes the ^12,13C + ^{90,91,92,94,96}Zr system better than the previous calculations using the first version of SPP. Overall, all the calculated results agree reasonably well with the experimental data. (author)