Multi-hadron interactions from lattice QCD

TL;DR

This paper reviews recent theoretical and numerical advances in lattice QCD for calculating multi-hadron interactions, focusing on finite-volume methods and their applications to various multi-particle systems.

Contribution

It introduces new theoretical frameworks and numerical results that improve understanding of multi-hadron dynamics from first principles in lattice QCD.

Findings

Progress in $N ext{-} ext{pi}$ scattering calculations

Development of finite-volume effective theories for multi-nucleon systems

Numerical results for multi-meson systems at maximal isospin

Abstract

First-principles calculations of multi-hadron dynamics are a crucial goal in lattice QCD. Significant progress has been achieved in developing, implementing, and applying theoretical tools that connect finite-volume quantities to their infinite-volume counterparts. Here, I review some recent theoretical developments and numerical results regarding multi-particle quantities in a finite volume. These results include $N\pi$ scattering, systems of two and three mesons at maximal isospin, three-body resonances in a toy model, and the formulation of effective theories in finite volume for multi-nucleon systems.