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arXiv 2501.10000hep-phnucl-th
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耦合道形式理论

Coupled-channel formalism

José Antonio Oller

AI总结:

本文以教学视角梳理强子物理耦合道散射的核心理论方法与应用,涵盖多种经典技术与模型,阐明相关物理机制,且方法可推广至核、原子物理等领域。

摘要:

本文对强子物理中的耦合道散射展开教学性探究,聚焦理论方法与实际应用。内容涵盖$N/D$方法、Castillejo-Dalitz-Dyson极点等核心概念,以及这些技术向耦合道的推广。本文还给出了分波振幅的参数化形式,确保其满足幺正性与解析性,并结合Lippmann-Schwinger方程讨论了主导道阈值附近的散射问题。此外,文章探究了末态相互作用、Omnès与Muskhelishvily解、Khuri-Treiman方法,以及用于共振事件分布的双势模型,阐明了黎曼面在共振行为中的作用。这些方法也适用于核物理、原子物理等相关领域。

英文摘要:

This article provides a pedagogical exploration of coupled-channel scattering in hadronic physics, focusing on theoretical methodologies, and practical applications. It covers key concepts such as the $N/D$ method, Castillejo-Dalitz-Dyson poles, and the generalization of these techniques to coupled channels. The article also presents a parameterization for partial wave amplitudes, ensuring unitarity and analyticity, and addresses scattering near the threshold of dominant channels, with use also of the Lippmann-Schwinger equation. Additionally, it explores final-state interactions, Omnès and Muskhelishvily solutions, the Khuri-Treiman approach, and the two-potential model for resonant event distributions, highlighting the role of Riemann sheets in resonance behavior. These methods are also applicable to related fields like nuclear and atomic physics.

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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