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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.06175 |
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| _version_ | 1866909874449809408 |
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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 |