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

2025/07/08 by Jing, Hao-Jie, Cao, Xiong-Hui, Guo, Feng-Kun · 3 citations
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2507.06175

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.

Citations

• Eigenstates in coupled-channel scattering amplitude and their effects on spectrum
• Dynamical coupled-channel models for hadron dynamics
• Box Singularity Conditions in Box Diagrams of Decay Processes
• Threshold cusps and triangle singularities in hadronic reactions

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• Dispersive analysis of the J/ψ→π⁰ γ^∗ transition form factor with ρ-ω mixing effects
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