Work

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

Year: 2025

Type: article

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.

Source: Frontiers of Physics

DOI: 10.15302/frontphys.2026.056201

Authors: Hao-Jie Jing, Xiong-Hui Cao, Feng-Kun Guo

Institutions: Shanxi University, Chinese Academy of Sciences, Institute of Theoretical Physics, Institute of Modern Physics, University of Chinese Academy of Sciences

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: National Natural Science Foundation of China, Chinese Academy of Sciences, China Postdoctoral Science Foundation