Search for the Charmed Baryonium and Dibaryon Structures via the QCD Sum Rules

Abstract

In the present work, we construct eight six-quark currents to study the ${\Sigma }_c{\overline{\Sigma }}_c$ baryonium and ${\Sigma }_c{\Sigma }_c$ dibaryon states via the QCD sum rules. For either ${\Sigma }_c{\overline{\Sigma }}_c$ baryonium or ${\Sigma }_c{\Sigma }_c$ dibaryon states, we construct four currents with the $J^P=1^{-},1^{+},0^{+}$ and $0^{-}$ . Except the current $1^{+}$ of ${\Sigma }_c{\Sigma }_c$ , we find the Borel windows for the other seven. There are two possible ${\Sigma }_c{\overline{\Sigma }}_c$ molecular states or compact six-quark states with the $J^P=1^{-}$ and $0^{-}$ . The results of the current $0^{+}$ of ${\Sigma }_c{\Sigma }_c$ show a possible ${\Sigma }_c{\Sigma }_c$ molecular state with 20 MeV binding energy. We find two ${\Sigma }_c{\overline{\Sigma }}_c$ baryonium resonances states with the $J^P=1^{+},0^{+}$ and two ${\Sigma }_c{\Sigma }_c$ dibaryon resonances states with the $J^P=0^{-},1^{-}$ , respectively. Pole residues of the seven states are also calculated.