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 ${\Sigma }_c{\bar{\Sigma }}_c$ baryonium and ${\Sigma }_c{\Sigma }_c$ dibaryon states via the QCD sum rules. For either ${\Sigma }_c{\bar{\Sigma }}_c$ 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 ${\Sigma }_c{\bar{\Sigma }}_c$ 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 ${\Sigma }_c{\bar{\Sigma }}_c$ 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.

arXiv admin note: text overlap with arXiv:2107.04751

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• Doubly charmed dibaryon states
• Baryons and baryoniums in the perspective of QCD sum rules