New hadron configuration: The double-gluon hybrid state

TL;DR

This paper introduces the double-gluon hybrid, a novel hadron configuration with exotic quantum numbers, and uses QCD sum rules to estimate its mass and decay patterns, aiding experimental identification.

Contribution

First theoretical study of the double-gluon hybrid with specific quantum numbers using QCD sum rules and decay analysis.

Findings

Mass estimated at approximately 2.26 GeV.

Three-meson decay channels are significant and not suppressed.

Provides decay patterns useful for experimental detection.

Abstract

This is the first study on the double-gluon hybrid, which consists of one valence quark and one valence antiquark together with two valence gluons. We concentrate on the one with the exotic quantum number $J^{PC} = 2^{+-}$ that conventional $\bar q q$ mesons can not reach. We apply QCD sum rule method to evaluate its mass to be $2.26^{+0.20}_{-0.25}$ GeV, and study its possible decay patterns. Especially, its three-meson decay patterns are generally not suppressed severely compared to two-meson decay patterns, so the $S$-wave three-meson decay channels $f_1\omega\pi/f_1\rho\pi$ can be useful in identifying its nature, which is of particular importance to the direct test of QCD in the low energy sector.