Exotic glueball $0^{\pm -}$ states in QCD Sum Rules

TL;DR

This paper constructs three-gluon currents for exotic $0^{ ext{±-}}$ glueballs and uses QCD sum rules to estimate their masses and decay constants, providing theoretical predictions for these elusive states.

Contribution

It introduces new three-gluon currents for exotic glueballs and applies QCD sum rules to estimate their properties, advancing understanding of these exotic states.

Findings

Estimated scalar glueball mass: 9.8+1.3-1.4 GeV

Estimated pseudoscalar glueball mass: 6.8+1.1-1.2 GeV

Provided new theoretical framework for exotic glueball states

Abstract

The lowest dimension three-gluon currents that couple to the exotic $0^{\pm-}$ glueballs have been constructed using the helicity formalism. Based on the constructed currents, we obtain new QCD SRs that have been used to extract the masses and the decay constants of the scalar exotic $0^{\pm-}$ glueballs. We estimate the masses for the scalar state and for the pseudoscalar state to be ${m_+=9.8^{+1.3}_{-1.4}}$ GeV and $m_-=6.8^{+1.1}_{-1.2}$ GeV.