# Orbitally excited and hybrid mesons from the lattice

## TL;DR

This paper constructs gauge-invariant lattice operators to study orbital and hybrid mesons, providing spectral data and predictions for exotic hybrid mesons with specific quantum numbers.

## Contribution

It introduces a method to analyze hybrid and orbital mesons on the lattice, including predictions for exotic hybrid meson masses.

## Key findings

- Spectra for P- and D-wave mesons agree with experimental data.
- Evidence of mixing in hybrid mesons with non-exotic quantum numbers.
- Predicted masses for spin-exotic hybrid mesons with specific J^{PC}.

## Abstract

We discuss in general the construction of gauge-invariant non-local meson operators on the lattice. We use such operators to study the $P$- and $D$-wave mesons as well as hybrid mesons in quenched QCD, with quark masses near the strange quark mass. The resulting spectra are compared with experiment for the orbital excitations. For the states produced by gluonic excitations (hybrid mesons) we find evidence of mixing for non-exotic quantum numbers. We give predictions for masses of the spin-exotic hybrid mesons with $J^{PC}=1^{-+},\ 0^{+-}$, and $2^{+-}$.