The elastic scattering data of \(^{12}\)C + \(^{90, 91, 92, 94, 96}\)Zr at 66 MeV and \(^{13}\)C + \(^{90, 91, 92, 94, 96}\)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 S\({\tilde{a}}\)o 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 \(N_\text {R}\) = 1 and \(N_\text {I}\) = 0.78 to 0.9 for the real and imaginary parts, respectively. Additionally, the CDM3Y6 potential required renormalization factors \(N_\text {R}\) = 0.6 to 0.8 and \(N_\text {I}\) = 0.4 to 0.8 to fit the \(^{12}\)C elastic scattering data, and renormalization factors \(N_\text {R}\) = 0.7 to 1 and \(N_\text {I}\) = 0.4 to 0.8 to fit the \(^{13}\)C elastic scattering data. A notable finding from the present study is that the SPP2 potential successfully describes the \(^{12,13}\)C + \(^{90,91,92,94,96}\)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.

弹性散射数据\(^{12}\)C + \(^ {90, 91, 92, 94, 96}\)Zr，66 MeV 和 \(^{13}\)C + \(^{90, 91, 92, 94, 96}\)Zr 在 64 MeV 的框架内重新分析使用现象学伍兹-撒克逊（WS）势和微观双折叠势的光学模型（OM）。研究中采用的微观势是速度相关的 S\({\tilde{a}}\)o Paulo 势版本 2 (SPP2) 、巴西核势 (BNP) 和密度相关的密歇根-3-汤川 (CDM3Y6) 势。微观势的实部和虚部都是根据折叠模型构建的。使用现象学和微观形式对实势和虚势进行比较研究。测试了弹性散射截面对三种不同折叠势的敏感性，并与使用唯象 WS 势获得的结果进行了比较。分析表明，SPP2 和 BNP 势获得的结果与重正化因子 \(N_\text {R}\) = 1 的数据很好地拟合实部和虚部分别为 \(N_\text {I}\) = 0.78 到 0.9。此外，CDM3Y6 势所需的重整化因子 \(N_\text {R}\) = 0.6 至 0.8 和 \(N_\text {I}\) = 0.4 到 0.8 以适应 \(^{12}\)C 弹性散射数据，以及重正化因子\(N_\text {R}\) = 0.7 至 1 和 \(N_\text {I}\) = 0.4 到 0.8 以适应 \(^{13}\)< a i=26>C弹性散射数据。本研究的一个显着发现是 SPP2 势成功地描述了 \(^{12,13}\)C + < a i=29>\(^{90,91,92,94,96}\)Zr 系统比之前使用第一个版本的 SPP 的计算要好。总体而言，所有计算结果与实验数据吻合较好。