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arXiv 2602.20243hep-phastro-ph.COhep-th
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辐射束缚态形成中的幺正性破坏与恢复

Unitarity violation and restoration in radiative bound-state formation

Laboratoire de Physique de l’École Normale Supérieure, ENS, Université PSL, CNRS, Sorbonne Université, Université Paris Cité(巴黎高等师范学院物理实验室,ENS,巴黎文理研究大学,法国国家科学研究中心,索邦大学,巴黎西岱大学);Department of Physics, University of Oslo(奥斯陆大学物理系)

Marcos M. Flores, Kalliopi Petraki

AI总结:

针对暗物质的前沿计算显示,辐射束缚态形成过程中非相对论区域的分波幺正性严重破坏,通过适当重求和入射态自能中的非弹性贡献可恢复幺正性,本文推导了分波的Kramers型公式并分析了复动量平面上的解析结构。

摘要:

受暗物质启发的前沿计算显示,在非相对论区域,辐射束缚态形成过程中分波幺正性严重破坏。最近,以模型无关的方式证明,通过对入射态自能中的非弹性贡献进行适当重求和,幺正性得以恢复。在本文中,我们首先推导了单个分波的Kramers型公式,证明现有的束缚态形成计算严重违反幺正性。然后,我们讨论了如何通过重求和由束缚态形成过程产生的入射态自能中的吸收贡献来恢复幺正性,同时考虑了它们在复动量平面上的解析结构。我们的结果可以推广到各种理论,并用于唯象研究,例如暗物质冻结、间接探测和自相互作用。

英文摘要:

State-of-the-art calculations motivated by dark matter exhibit severe violation of partial-wave unitarity in the non-relativistic regime in radiative bound-state-formation processes. It has been recently shown, in a model-independent fashion, that unitarity is restored by the proper resummation of the inelastic contributions to the self-energy of the incoming state. In this work, we first derive Kramers-like formulae for individual partial waves, demonstrating that existing calculations of bound-state formation severely violate unitarity. We then discuss how unitarity is restored through the resummation of the absorptive contributions to the incoming-state self-energy, generated by bound-state formation processes, taking into account their analytic structure in the complex momentum plane. Our results can be generalized to a variety of theories and employed in phenomenological studies, such as dark-matter freeze-out, indirect detection and self-interactions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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