Abstract It is a well-known fact that the physical processes taking place in nuclear reactors currently operating are addressed based on the Maxwell–Boltzmann distribution. However, for new reactor designs that can be developed, as well as for any operational condition beyond the basis of the project, it may be relevant to consider another type of velocity distribution. In recent papers, for the evaluation of the absorption cross-section, the consequences of replacing the Maxwell–Boltzmann distribution by the non-extensive Tsallis distribution in addition to the Kaniadakis distribution were discussed. To complement these results, this paper deals with the influence of these same two distributions for the resonant scattering, which is described mathematically by the Interference Term Function. That way, two new deformed Interference Term Functions are obtained. To study the range of values where the effect is meaningful, numerical tests are carried out considering several values for the deformation parameters.

中文翻译：

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准麦克斯韦干涉项函数

摘要 众所周知，当前运行的核反应堆中发生的物理过程是基于麦克斯韦-玻尔兹曼分布来解决的。然而，对于可以开发的新反应堆设计以及超出项目基础的任何运行条件，考虑另一种类型的速度分布可能是相关的。在最近的论文中，为了评估吸收截面，讨论了用非广延 Tsallis 分布和 Kaniadakis 分布代替 Maxwell-Boltzmann 分布的后果。为了补充这些结果，本文讨论了这两个相同的共振散射分布的影响，这在数学上由干涉项函数描述。那样，得到两个新的变形干扰项函数。为了研究影响有意义的值范围，进行了数值试验，考虑了变形参数的几个值。