Incomplete fusion processes and estimation of strength of incomplete fusion in heavy ion induced nuclear reactions have been explored for several combinations of projectile-target nuclei. Dynamics of these reactions is explained using an optical model. Parameters of the optical model affect the shape and depth of nuclear potential and hence influence the theoretical predictions. For heavy ion induced reactions, the optical model potential parameters are not unique and different sets of these parameters may be used for different ranges of mass number $A$ and incident energy $E$. To explore the effect of optical model potential parameters, a comparative study of available experimental data for excitation functions of four systems, ${}^{16}\mathrm{O}+{}^{181}\mathrm{Ta}, {}^{12}\mathrm{C}+{}^{165}\mathrm{Ho}, {}^{14}\mathrm{N}+{}^{163}\mathrm{Dy}$, and ${}^{16}\mathrm{O}+{}^{74}\mathrm{Ge}$, with corresponding theoretically predicted excitation functions, made by PACE4 using different sets of optical model potential parameters, has been done. It has been observed that a single set of optical model potential parameters is not adequate for all the systems. The variations in these parameters change the theoretical cross-section predictions for various channels considerably, which in turn, change the correspondingly estimated fraction of incomplete fusion $\left(F_{\mathrm{ICF}}\right)$. The effect of deformation of target nuclei on fractional incomplete fusion has also been investigated for the above mentioned systems. $F_{\mathrm{ICF}}$ has been plotted as a function of deformation parameter $\left({\beta }_2\right)$ of the target nuclei and it is found to increase as the deformation parameter of the corresponding target nuclei increases on either side of the intrinsic spherical symmetry.

中文翻译：

---

统计模型参数的质量数依赖性及其对不完全融合分数计算的影响

对于弹丸-靶核的几种组合，已经探索了重离子诱导核反应中的不完全聚变过程和不完全聚变强度的估计。使用光学模型解释这些反应的动力学。光学模型的参数影响核势的形状和深度，从而影响理论预测。对于重离子诱导反应，光学模型势参数不是唯一的，这些参数的不同组可用于不同的质量数范围$\mathrm{一种}$ 和入射能量 $乙$. 为了探索光学模型势参数的影响，对四种系统激发函数的可用实验数据进行了比较研究，${}^{16}\mathrm{哦}+{}^{181}塔, {}^{12}\mathrm{C}+{}^{165}何, {}^{14}\mathrm{N}+{}^{163}\mathrm{染料}$， 和 ${}^{16}\mathrm{哦}+{}^{74}葛$，以及相应的理论预测激发函数，由 PACE4 使用不同的光学模型势参数集，已经完成。已经观察到，单一的一组光学模型潜在参数并不适合所有系统。这些参数的变化极大地改变了各种通道的理论横截面预测，从而改变了相应估计的不完全融合比例$\left(F_{\mathrm{国际金融联合会}}\right)$. 对于上述系统，还研究了目标核变形对分数不完全融合的影响。$F_{\mathrm{国际金融联合会}}$ 已绘制为变形参数的函数 $\left({\beta }_2\right)$ 并且发现随着相应目标核的变形参数在固有球对称性两侧的增加而增加。