Light double-gluon hybrid states

TL;DR

This paper uses QCD sum rules to predict the masses and properties of light hybrid mesons with two gluons and various quantum numbers, aiding future experimental searches.

Contribution

It introduces a comprehensive QCD sum rule analysis of light hybrid mesons with two gluons, including multiple quantum numbers and nonperturbative effects up to dimension twelve.

Findings

Predicted masses for various light hybrid mesons.

Determined current couplings for different hybrid configurations.

Provided data useful for experimental searches and decay studies.

Abstract

We investigate light hybrid mesons composed of a light quark-antiquark pair and two gluons within the framework of QCD sum rules. We focus on states with quantum numbers $J^{\mathrm{PC}} = 0^{++}, 0^{+-}, 0^{-+}, 0^{--}$ and $J^{\mathrm{PC}} = 1^{++}, 1^{+-}, 1^{-+}, 1^{--}$. By employing various interpolating currents constructed from valence light quarks and gluon fields, we determine the masses and current couplings of the $\bar{q}GGq$, $\bar{q}GGs$, and $\bar{s}GGs$ hybrid configurations. Nonperturbative effects are incorporated through quark and gluon condensates up to dimension twelve in the operator product expansion, improving the reliability of the numerical predictions. The results presented here may provide useful input for future experimental searches for light hybrid mesons and can also serve as a basis for studies of their decay properties and interactions with other hadronic states.