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arXiv · 2507.06175

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

Hao-Jie Jing·Xiong-Hui Cao·Feng-Kun Guo
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Abstract

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.

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Hao-Jie Jing, Xiong-Hui Cao, Feng-Kun Guo. 2025-07-08. Discontinuity calculus and applications to two-body coupled-channel scattering. https://doi.org/10.15302/frontphys.2026.056201

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