Is the exotic $0^{--}$ glueball a pure gluon state ?

TL;DR

This paper calculates the mass and width of the exotic $0^{--}$ glueball using QCD sum rules, establishing it as a likely pure gluon state with specific properties to guide experimental searches.

Contribution

It introduces a new current for QCD sum rules that yields consistent results for the $0^{--}$ glueball, improving upon previous approaches.

Findings

Mass estimated at 6.3 GeV with uncertainties

Width upper limit of 235 MeV

Minimal mixing with tetraquark states

Abstract

We present a new calculation of the mass and width of the exotic $0^{--}$ glueball in the framework of the QCD sum rules. We next construct a new current which couples to a pure $0^{--}$ gluon state and derive consistent and stable sum rules. A previously used current in this approach was shown to be inconsistent. We obtain for this state a mass $M_G=6.3^{+0.8}_{-1.1}$ GeV and an upper limit for the total width $\Gamma_G\leq 235$ MeV. These values can be used as an important guide for the experimental search of this exotic state. We argue that the mixing of this glueball state with $0^{--}$ tetraquark is very small. Therefore, the exotic $0^{--}$ glueball can be considered as a pure gluon state.