Multi-hadron states in Lattice QCD spectroscopy

TL;DR

This paper discusses methods for accurately measuring multi-hadron energies in Lattice QCD, including operator construction, algorithmic improvements, and numerical results from the Hadron Spectrum Collaboration.

Contribution

It introduces a group-theoretical approach to construct lattice operators for multi-hadron states and reports on recent algorithmic developments and numerical results.

Findings

Group-theoretical derivation of multi-hadron operators

Efficient implementation algorithms for these operators

Numerical results demonstrating the method's effectiveness

Abstract

The ability to reliably measure the energy of an excited hadron in Lattice QCD simulations hinges on the accurate determination of all lower-lying energies in the same symmetry channel. These include not only single-particle energies, but also the energies of multi-hadron states. This talk deals with the determination of multi-hadron energies in Lattice QCD. The group-theoretical derivation of lattice interpolating operators that couple optimally to multi-hadron states is described. We briefly discuss recent algorithmic developments which allow for the efficient implementation of these operators in software, and present numerical results from the Hadron Spectrum Collaboration.