In this study, we examine the cross sections of ^18,19,20O + ¹²C fusion reactions at energies near and below Coulomb barrier within the optical model. To propose alternative density distributions for theoretical studies of fusion reactions of oxygen isotopes (^18,19,20O) and carbon target, we evaluate three different density distributions of ^18,19,20O and ¹²C nuclei. Moreover, we apply two different theoretical approaches which consist of semi-microscopic and fully-microscopic in order to make a comparative study. The theoretical results are compared with each other as well as the experimental data. It is seen that the results are in good agreement with the data. The evaluated methods and density distributions are presented to be alternative ways in explaining the fusion cross sections of ^18,19,20O + ¹²C systems. Finally, we show the effect of weak imaginary potential in fitting the experimental data.

在这项研究中，我们检查了光学模型内库仑势垒附近和下方能量在^18,19,20 O + ¹² C聚变反应的截面。为了为氧同位素（^18,19,20 O）和碳靶的融合反应的理论研究提出替代的密度分布，我们评估了^18,19,20 O和^12的三种不同的密度分布C核。此外，为了进行比较研究，我们应用了两种不同的理论方法，即半微观和全微观。将理论结果与实验数据进行了比较。可以看出结果与数据非常吻合。提出的评估方法和密度分布是解释^18,19,20 O + ¹² C系统融合截面的替代方法。最后，我们展示了虚弱的虚势在拟合实验数据中的作用。