Mass spectrum of the $\Omega\bar{\Omega}$ states

TL;DR

This paper predicts the masses of potential $ ext{Omega}ar{ ext{Omega}}$ baryonium states using QCD sum rules, identifying possible bound states and resonances with implications for experimental searches.

Contribution

It provides the first QCD sum rule analysis of $ ext{Omega}ar{ ext{Omega}}$ states with specific quantum numbers, predicting their masses and nature relative to thresholds.

Findings

Four possible baryonium states with specific masses predicted.

Some states are below dibaryon thresholds, indicating bound states.

Other states are above thresholds, suggesting resonance behavior.

Abstract

In this study, we investigate the mass spectrum of the $\Omega\bar{\Omega}$ states with quantum numbers $J^{PC}=0^{-+}$, $1^{--}$, $0^{++}$, and $1^{++}$ within the framework of QCD sum rules. Employing suitably constructed interpolating currents, the analyses are carried out with the operator product expansion (OPE) including condensate contributions up to dimension $12$. Our results indicate the existence of four possible baryonium states with masses $m_{0^{-+}}=(3.22\pm0.07)$ GeV, $m_{1^{--}}=(3.28\pm0.08)$ GeV, $m_{0^{++}}=(3.46\pm0.09)$ GeV, and $m_{1^{++}}=(3.54\pm0.11)$ GeV. For the $0^{-+}$ and $1^{--}$ states, the predicted masses lie below the corresponding dibaryon thresholds, suggesting possible bound-state configurations. In contrast, the $0^{++}$ and $1^{++}$ states are found above the respective thresholds, implying resonance-like behavior. Potential decay channels for these baryonium candidates are discussed, with emphasis on those accessible to current experimental facilities such as BESIII, Belle II, and LHCb.