Coupled-channel approach in hadron-hadron scattering

TL;DR

This paper reviews coupled-channel methods for hadron-hadron scattering, emphasizing unitarity and analyticity, and compares different approaches including the Lippmann-Schwinger equation, with applications to near-threshold scattering.

Contribution

It provides a comprehensive discussion and comparison of coupled-channel techniques in hadron physics, highlighting their derivation, application, and relation to unitarity and analyticity.

Findings

Comparison of coupled-channel methods with Lippmann-Schwinger approach

Analysis of final-state interactions in elastic and inelastic scattering

Illustration of methods through specific hadron scattering examples

Abstract

Coupled-channel dynamics for scattering and production processes in partial-wave amplitudes is discussed from a perspective that emphasizes unitarity and analyticity. We elaborate on several methods that have driven to important results in hadron physics, either by themselves or in conjunction with effective field theory. We also develop and compare with the use of the Lippmann-Schwinger equation in near-threshold scattering. The final(initial)-state interactions are discussed in detail for the elastic and coupled-channel case. Emphasis has been put in the derivation and discussion of the methods presented, with some applications examined as important examples of their usage.