Coupled-channel $J^{--}$ meson resonances from lattice QCD

TL;DR

This paper extends lattice QCD calculations of excited light meson resonances to include coupled-channel effects in the octet representation, providing insights into decay strengths and comparing results with experimental data.

Contribution

It introduces coupled-channel analysis for octet resonances in lattice QCD, enhancing understanding of meson decay dynamics beyond previous singlet-only studies.

Findings

Determined relative decay strengths for pseudoscalar-pseudoscalar and pseudoscalar-vector channels.

Performed extrapolation to physical quark masses.

Compared lattice results with experimental meson resonances.

Abstract

We extend an earlier calculation within lattice QCD of excited light meson resonances with $J^{PC}=1^{--}, 2^{--}, 3^{--}$ at the SU(3) flavor point in the singlet representation, by considering the octet representation. In this case the resonances appear in coupled-channel amplitudes, which we determine, establishing the relative strength of pseudoscalar-pseudoscalar to pseudoscalar-vector decays. Combining the new octet results with the prior results for the singlet, we perform a plausible extrapolation to the physical quark mass, and compare to experimental $\rho^\star_J, K^\star_J, \omega^\star_J$ and $\phi^\star_J$ resonances.