Towards heavy double-gluon hybrid mesons with exotic quantum numbers in QCD sum rules

TL;DR

This paper investigates double-gluon hybrid mesons with exotic quantum numbers using QCD sum rules, estimating their masses in charmonium and bottomonium systems, and discusses their potential production in experiments.

Contribution

It constructs current operators for exotic quantum numbers and calculates mass spectra of double-gluon hybrid mesons within QCD sum rules, extending previous studies.

Findings

Masses of charmonium hybrids are approximately 6.1-7.2 GeV and 6.3-6.4 GeV.

Masses of bottomonium hybrids are approximately 13.7-14.3 GeV and 12.6-13.3 GeV.

Charmonium hybrids could be produced in radiative decays of bottomonium in BelleII.

Abstract

The double-gluon hybrid meson configuration was recently proposed and investigated within QCD sum rules. In this talk, we discuss the color structures of the double-gluon hybrid meson and construct current operators with exotic quantum numbers $J^{PC}=1^{-+}$ and $2^{+-}$ for two of the structures. In the framework of QCD sum rules, we consider the condensates up to dimension-8 at the leading order of $\alpha_{s}$ for both charmonium and the bottomonium systems. The results indicate that the masses of the $1^{-+}$ and $2^{+-}$ charmonium double-gluon hybrid mesons are approximately $6.1-7.2$ GeV and $6.3-6.4$ GeV, respectively. As for the bottomonium systems, their masses fall within the range of $13.7-14.3$ GeV and $12.6-13.3$ GeV for the $1^{-+}$ and $2^{+-}$ channels, respectively. Additionally, the charmonium hybrids could be produced in the radiative decays of bottomonium mesons in BelleII experiment.