Mass spectra of 0⁻⁻ and 0⁺⁻ hidden-heavy baryoniums

In this work, the spectra of the prospective exotic hidden-charm and hidden-bottom baryonium, viz. the baryon–antibaryon states, with JPC=0⁻⁻ J PC = 0 - - and 0⁺⁻ 0 + - are investigated in the framework of QCD sum rules. The non-perturbative contributions up to dimension 12 are taken into account. Numerical results indicate that there might exist 3 possible 0⁻⁻ 0 - - hidden-charm baryonium states with masses (5.22± 0.26) ( 5.22 ± 0.26 ) , (5.52± 0.25) ( 5.52 ± 0.25 ) , and (5.46± 0.24) ( 5.46 ± 0.24 ) GeV, and 5 possible 0⁺⁻ 0 + - hidden-charm baryonium states with masses (4.76± 0.28) ( 4.76 ± 0.28 ) , (5.24± 0.28) ( 5.24 ± 0.28 ) , (5.16± 0.27) ( 5.16 ± 0.27 ) , (5.52± 0.27) ( 5.52 ± 0.27 ) , and (5.69± 0.27) ( 5.69 ± 0.27 ) GeV, respectively. The corresponding hidden-bottom partners are found lying in the range of $$11.68-12.28$$ 11.68 - 12.28 GeV and $$11.38-12.33$$ 11.38 - 12.33 GeV, respectively. The possible baryonium decay modes are analyzed, which are hopefully measurable in LHC experiments.