Discontinuity calculus and applications to two-body coupled-channel scattering

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Hauptverfasser:	Jing, Hao-Jie, Cao, Xiong-Hui, Guo, Feng-Kun
Format:	Preprint
Veröffentlicht:	2025
Schlagworte:	High Energy Physics - Phenomenology High Energy Physics - Theory Mathematical Physics
Online-Zugang:	Acceder al recurso
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author	Jing, Hao-Jie Cao, Xiong-Hui Guo, Feng-Kun
author_facet	Jing, Hao-Jie Cao, Xiong-Hui Guo, Feng-Kun
contents	We present a novel method, termed discontinuity calculus, for computing discontinuities of complex functions. This framework enables a systematic investigation of both analytic continuation and the topological structure of Riemann surfaces. We apply this calculus to analyze the analytic continuation of partial-wave amplitudes in two-body coupled-channel scattering problems and discuss their uniformization of the corresponding Riemann surfaces. This methodology offers new perspectives and tools for analyzing coupled-channel scattering problems in quantum scattering theory.
format	Preprint
id	arxiv_https___arxiv_org_abs_2507_06175
institution	arXiv
publishDate	2025
record_format	arxiv
spellingShingle	Discontinuity calculus and applications to two-body coupled-channel scattering Jing, Hao-Jie Cao, Xiong-Hui Guo, Feng-Kun High Energy Physics - Phenomenology High Energy Physics - Theory Mathematical Physics We present a novel method, termed discontinuity calculus, for computing discontinuities of complex functions. This framework enables a systematic investigation of both analytic continuation and the topological structure of Riemann surfaces. We apply this calculus to analyze the analytic continuation of partial-wave amplitudes in two-body coupled-channel scattering problems and discuss their uniformization of the corresponding Riemann surfaces. This methodology offers new perspectives and tools for analyzing coupled-channel scattering problems in quantum scattering theory.
title	Discontinuity calculus and applications to two-body coupled-channel scattering
topic	High Energy Physics - Phenomenology High Energy Physics - Theory Mathematical Physics
url	https://arxiv.org/abs/2507.06175

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