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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/2502.19375 |
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| _version_ | 1866915174040993792 |
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| author | Raposo, André Baião Briceño, Raúl A Hansen, Maxwell T Jackura, Andrew W |
| author_facet | Raposo, André Baião Briceño, Raúl A Hansen, Maxwell T Jackura, Andrew W |
| contents | We derive a general formalism that relates the spectrum of two-particle systems in a finite volume to physical scattering amplitudes, taking into account the presence of any left-hand branch cuts due to single-particle exchanges. The method first relates the finite-volume spectrum to an infinite-volume short-range quantity, denoted \mathcal{M}_0, and then relates the latter to the physical scattering amplitudes via known integral equations. The derivation of both relations is performed using all-orders perturbation theory and is exact up to neglected exponentially suppressed volume dependence. The relations hold for arbitrary two-particle systems with any number of coupled channels, non-identical and non-degenerate particles, and any intrinsic spin. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_19375 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Extracting scattering amplitudes for arbitrary two-particle systems with one-particle left-hand cuts via lattice QCD Raposo, André Baião Briceño, Raúl A Hansen, Maxwell T Jackura, Andrew W High Energy Physics - Lattice We derive a general formalism that relates the spectrum of two-particle systems in a finite volume to physical scattering amplitudes, taking into account the presence of any left-hand branch cuts due to single-particle exchanges. The method first relates the finite-volume spectrum to an infinite-volume short-range quantity, denoted \mathcal{M}_0, and then relates the latter to the physical scattering amplitudes via known integral equations. The derivation of both relations is performed using all-orders perturbation theory and is exact up to neglected exponentially suppressed volume dependence. The relations hold for arbitrary two-particle systems with any number of coupled channels, non-identical and non-degenerate particles, and any intrinsic spin. |
| title | Extracting scattering amplitudes for arbitrary two-particle systems with one-particle left-hand cuts via lattice QCD |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2502.19375 |