PoS - Proceedings of Science
Volume 430 - The 39th International Symposium on Lattice Field Theory (LATTICE2022) - Hadron Spectroscopy and Interactions
The Lüscher scattering formalism on the t-channel cut
A. Baiao Raposo* and M. Hansen
Full text: pdf
Pre-published on: February 01, 2023
Published on: April 06, 2023
The Lüscher scattering formalism, the standard approach for relating the discrete finite-volume energy spectrum to two-to-two scattering amplitudes, fails when analytically continued so far below the infinite-volume two-particle threshold that one encounters the $t$-channel cut. This is relevant, especially in baryon-baryon scattering applications, as finite-volume energies can be observed in this below-threshold regime, and it is not clear how to make use of them. In this talk, we presented a generalisation of the scattering formalism that resolves this issue, allowing one to also constrain scattering amplitudes on the $t$-channel cut.
DOI: https://doi.org/10.22323/1.430.0051
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