Multiparticle States and the Hadron Spectrum on the Lattice

TL;DR

This paper calculates the Clebsch-Gordan decomposition for cubic space group representations to identify multiparticle states in the lattice hadron spectrum, considering both zero and non-zero momentum contributions.

Contribution

It provides a detailed group-theoretic framework for analyzing multiparticle states in lattice QCD spectra, enhancing the understanding of state identification.

Findings

Decomposition of cubic space group representations for multiparticle states

Identification of zero and non-zero momentum multiparticle contributions

Framework for analyzing lattice hadron spectra

Abstract

The Clebsch-Gordan decomposition is calculated for direct products of the irreducible representations of the cubic space group. These results are used to identify multiparticle states which appear in the hadron spectrum on the lattice. Consideration of the cubic space group indicates how combinations of both zero momentum and non-zero momentum multiparticle states contribute to the spectrum.