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.
Highlights
A hybrid state consists of one valence quark and one valence antiquark together with some valence gluons
1School of Physics, Southeast University, Nanjing 210094, China 2School of Physics, Sun Yat-Sen University, Guangzhou 510275, China 3School of Physics and Center of High Energy Physics, Peking University, Beijing 100871, China (Received 11 November 2021; accepted 15 February 2022; published 3 March 2022). 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
Its three-meson decay patterns are generally not suppressed severely compared to two-meson decay patterns, so the S-wave three-meson decay channels f1ωπ=f1ρπ can be useful in identifying its nature, which is of particular importance to the direct test of quantum chromodynamics (QCD) in the low energy sector
Summary
A hybrid state consists of one valence quark and one valence antiquark together with some valence gluons. The hybrid states with JPC 1⁄4 0−−=0þ−=1−þ=2þ−= Á Á Á are of particular interest, since these exotic quantum numbers arise from the manifest gluon degree of freedom and cannot be accessed by conventional qq mesons. Up to now there are three candidates observed in experiments with the exotic quantum number IGJPC 1⁄4 1−1−þ, i.e., the π1ð1400Þ [5], π1ð1600Þ [6,7], and π1ð2015Þ [8] They are possible single-gluon hybrids, which consist of one quark-antiquark pair together with only one valence gluon. In this paper we further investigate the double-gluon hybrid, which consists of one quark-antiquark pair together with two valence gluons.
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