Search for the charmed baryonium and dibaryon structures via the QCD sum rules

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