Abstract

By employing the \(T\)-invariance condition for the amplitudes describing arbitrary binary nuclear reactions that involve spin-oriented particles and the respective time-reversed reactions, a relation between the differential cross sections for these reactions is obtained for the first time. These cross sections are determined with the aid of sets of potentials simulating the interaction between particles of the initial and final reaction channels and not including any of spin–orbit interactions. The resulting relation covers the case corresponding to the implementation of the previously known detailed-balance principle. This relation is used to derive equalities between the components appearing in the cross sections under analysis via a unified mechanism and possessing identical \(P\) and \(T\) parities. These equalities make it possible to prove the existence of a number of components in the cross section that vanish upon taking into account \(T\) invariance, and this opens new possibilities in studying \(T\)-noninvariant interactions in nuclear reactions.

中文翻译：

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$$ {T} $$-涉及自旋取向粒子和核的二元核反应微分截面的不变条件

摘要

通过将\（T \）-不变条件用于描述涉及自旋取向粒子的任意二元核反应的振幅以及相应的时间逆反应，首次获得了这些反应的微分截面之间的关系。这些横截面是通过模拟初始反应通道和最终反应通道的粒子之间相互作用的一组电位确定的，其中不包括任何自旋轨道相互作用。所得关系涵盖了与先前已知的详细平衡原理的实现相对应的情况。该关系用于通过统一的机制推导分析中出现在横截面中的组件之间的相等性，它们具有相同的\（P \）和\（T \）奇偶校验。这些相等性使得有可能证明横截面中存在许多成分，这些成分在考虑到（T \）不变性后消失，这为研究核反应中（T \）-非不变相互作用提供了新的可能性。