Discontinuity calculus and applications to two-body coupled-channel scattering
High Energy Physics - Phenomenology
2025-10-30 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2507.06175,
title = {Discontinuity calculus and applications to two-body coupled-channel scattering},
author = {Hao-Jie Jing and Xiong-Hui Cao and Feng-Kun Guo},
journal= {arXiv preprint arXiv:2507.06175},
year = {2025}
}
Comments
14 pages and 5 figures