Highly excited and exotic meson spectrum from dynamical lattice QCD

TL;DR

This paper presents a novel lattice QCD approach that accurately identifies highly excited and exotic meson states, including high-spin and spin-four states, using advanced operator construction and variational techniques.

Contribution

It introduces a new quark-field construction algorithm and a comprehensive operator basis to reliably determine the continuum spin of excited mesons in lattice QCD.

Findings

Successfully extracted highly excited meson states

Identified exotic quantum number states (0+-, 1-+, 2+-)

First lattice QCD observation of spin-four states

Abstract

Using a new quark-field construction algorithm and a large variational basis of operators, we extract a highly excited isovector meson spectrum on dynamical anisotropic lattices. We show how carefully constructed operators can be used to reliably identify the continuum spin of extracted states, overcoming the reduced cubic symmetry of the lattice. Using this method we extract, with confidence, excited states, states with exotic quantum numbers (0+-, 1-+ and 2+-) and states of high spin, including for the first time in lattice QCD, spin-four states.