Extraction of Hadron Interactions above Inelastic Threshold in Lattice QCD

TL;DR

This paper introduces a novel lattice QCD method to extract hadron interactions above inelastic thresholds, including cases with particle production, enhancing the understanding of complex scattering processes.

Contribution

The paper presents a new approach to analyze inelastic hadron scattering in lattice QCD, extending previous methods to include particle production scenarios.

Findings

Method successfully extracts inelastic scattering amplitudes

Extension to particle production processes demonstrated

Applicable to various hadron scattering cases

Abstract

We propose a new method to extract hadron interactions above inelastic threshold from the Nambu-Bethe-Salpter amplitude in lattice QCD. We consider the scattering such as $A+B\rightarrow C+D$, where $A,B,C,D$ are names of different 1-particle states. An extension to cases where particle productions occur during scatterings is also discussed.