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Coupled-channel formalism
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abstract
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, Omn\`es 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.
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Cited by 1 Pith paper
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Composite nature of exotic states from data analysis
Compositeness values for X(3872), Zb(10610), Zb(10650), and Tcc are extracted from CDD-pole fits to published spectra; X(3872) is unconstrained (0 to 1), Tcc is found at 0.23 with large errors.
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