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Extracting scattering amplitudes for arbitrary two-particle systems with one-particle left-hand cuts via lattice QCD
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Extracting scattering amplitudes for arbitrary two-particle systems with one-particle left-hand cuts via lattice QCD
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Journal Article
Extracting scattering amplitudes for arbitrary two-particle systems with one-particle left-hand cuts via lattice QCD
2025
Overview
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 𝓜₀, 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.
Publisher
Springer Science and Business Media LLC
Subject
