标题： 非弹性耦合通道厄米散射 显示英文标题

标题： Inelastic Coupled-Channel Eikonal Scattering

摘要： emitted 辐射和吸收效应在黑洞动力学中导致非弹性散射振幅。在本文中，我们研究了这些效应如何将一个非弹性函数引入到$2\rightarrow2$惠更斯化$S$-矩阵，并且它们如何能够使用不相等质量和自旋的物理散射振幅来描述。为了实现这一点，我们利用KMOC形式主义和量子通道的语言制定了非弹性耦合通道惠更斯（ICCE），其中非对角通道涉及质量和自旋的变化。这种制定方法使我们能够重新使用通常的惠更斯结果，同时也建议了一种不同的非弹性效应重整化。然后，我们将此制定方法应用于计算经典非弹性过程，例如由于事件视界的存在的双星动力学中的质量变化。此外，我们为波在黑洞上的散射情况提供了补充分析，考虑了吸收效应。在这两种情况下，我们都推导出了考虑非弹性效应的幺正关系。 显示英文摘要

摘要： Emitted radiation and absorption effects in black hole dynamics lead to inelastic scattering amplitudes. In this paper, we study how these effects introduce an inelasticity function to the $2\rightarrow2$ eikonalised $S$-matrix and how they can be described using unequal mass and spin on-shell amplitudes. To achieve this, we formulate the inelastic coupled-channel eikonal (ICCE) using the KMOC formalism and the language of quantum channels, where off-diagonal channels involve mass and spin changes. This formulation allows us to re-use usual eikonal results but also suggests a different resummation of inelastic effects. We then apply this formulation to calculate classical inelastic processes, such as the mass change in binary dynamics due to the presence of an event horizon. Additionally, we provide a complementary analysis for the case of wave scattering on a black hole, considering absorption effects. In both scenarios, we derive unitarity relations accounting for inelastic effects.