The spontaneous fission fragments mass yield of $^{238}U$ is calculated with two models: WKB approximation model and statistical scission-point model. The results are compared with experimental data. This shows that the statistical scission-point model results are closer to the experimental data of the spontaneous fission fragments mass distributions than the WKB model. Also, experimental values are obtained by changing the deformation parameter for light fragments. The influence of temperature, deformation parameters, and pairing energy on the spontaneous fission fragments mass yield has been investigated within the statistical scission-point model. Adding the pairing correction energy to the total energy of the fission system adds some oscillations in theoretical results of fission fragments mass yields, also the inclusion of fission fragments temperature regardless of the pairing energy causes some theoretical results to be overestimated compared to the experimental data. It is seen that adding the pairing correction energy with the fragments temperature together leads to acceptable results compared to the experimental values. Therefore, the theoretical results of the systematic modified statistical scission-point model are in good agreement with the experimental values. This shows that although the statistical model is commonly used for the even-even isotopes, all isotopes can be investigated using the modified statistical model.

中文翻译：

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系统统计断点模型中²³⁸ U自发裂变的质量产量

$^{238}U$的自发裂变碎片质量产额是用两种模型计算的：WKB近似模型和统计断点模型。结果与实验数据进行了比较。这表明统计断点模型结果比 WKB 模型更接近自发裂变碎片质量分布的实验数据。此外，实验值是通过改变轻碎片的变形参数获得的。在统计断点模型中研究了温度、变形参数和配对能量对自发裂变碎片质量产量的影响。将配对校正能量添加到裂变系统的总能量中会在裂变碎片质量产率的理论结果中增加一些振荡，还包括裂变碎片温度而不管配对能量如何导致一些理论结果与实验数据相比被高估。可以看出，与实验值相比，将配对校正能量与碎片温度相加得到了可接受的结果。因此，系统修正的统计断点模型的理论结果与实验值吻合较好。这表明虽然统计模型通常用于偶数同位素，但可以使用修改后的统计模型研究所有同位素。可以看出，与实验值相比，将配对校正能量与碎片温度相加得到了可接受的结果。因此，系统修正的统计断点模型的理论结果与实验值吻合较好。这表明虽然统计模型通常用于偶数同位素，但可以使用修改后的统计模型研究所有同位素。可以看出，与实验值相比，将配对校正能量与碎片温度相加得到了可接受的结果。因此，系统修正的统计断点模型的理论结果与实验值吻合较好。这表明虽然统计模型通常用于偶数同位素，但可以使用修改后的统计模型研究所有同位素。