Two Troubled Hadrons in a Box: resolving the left-hand cut issue in the Lüscher scattering formalism

by André Baião Raposo (University of Edinburgh)

Tuesday 30 Jan 2024, 16:00 → 18:00 Europe/Zurich

4/2-037 - TH meeting room (CERN)

The Lüscher scattering formalism is a well-known and widely used method for extracting scattering amplitudes from the finite-volume spectrum. Recent lattice QCD calculations involving systems where a lighter particle couples to heavier scattering particles (e.g. baryon-baryon scattering) have highlighted the limitations of this standard formalism below the elastic threshold. This is due to the presence of left-hand cuts in the angular-momentum-projected scattering amplitudes. In this talk, I describe an extension of the existing method circumventing this issue and the full workflow to get amplitudes from the finite-volume spectrum.

CERN_LatticeCoffee_v2.pdf