Excited $J^{--}$ meson resonances at the SU(3) flavor point from lattice QCD

TL;DR

This study uses lattice QCD to calculate excited light meson resonances with specific quantum numbers, revealing multiple states and their decay properties under SU(3) flavor symmetry, and connecting findings to experimental resonances.

Contribution

First lattice QCD calculation of excited $J^{--}$ meson resonances with SU(3) flavor symmetry, identifying multiple states and their decay channels.

Findings

Identified two $1^{--}$ resonances, broad and narrow.

Found a broad $2^{--}$ resonance decaying in multiple waves.

Discovered a narrow $3^{--}$ state.

Abstract

We present the first calculation within lattice QCD of excited light meson resonances with $J^{PC} = 1^{--}$, $2^{--}$ and $3^{--}$. Working with an exact SU(3) flavor symmetry, for the singlet representation of pseudoscalar-vector scattering, we find two $1^{--}$ resonances, a lighter broad state and a heavier narrow state, a broad $2^{--}$ resonance decaying in both $P$- and $F$-waves, and a narrow $3^{--}$ state. We present connections to experimental $\omega^\star_J, \phi^\star_J$ resonances decaying into $\pi \rho$, $K\bar{K}^*$, $\eta \omega$ and other final states.