Search for the ${\mathrm{\Lambda }}_c{\mathrm{\Sigma }}_c$ and ${\bar{\mathrm{\Lambda }}}_c{\mathrm{\Sigma }}_c$ dibaryon structures via the QCD sum rules

In this paper, we construct eight pairs of hexaquark currents to search the ${\mathrm{\Lambda }}_c{\mathrm{\Sigma }}_c$ and ${\bar{\mathrm{\Lambda }}}_c{\mathrm{\Sigma }}_c$ dibaryon states via QCD sum rules. We show that the two currents of each pair are equivalent and we choose one of them to calculate the masses and pole residues of ground states. For either ${\mathrm{\Lambda }}_c{\mathrm{\Sigma }}_c$ or ${\bar{\mathrm{\Lambda }}}_c{\mathrm{\Sigma }}_c$, the $J^P$ of the considered hexaquark currents are $0^{-}$, $0^{+}$, $1^{+}$ and $1^{-}$, respectively. We found three possible molecular states, they are ${\mathrm{\Lambda }}_c{\mathrm{\Sigma }}_c$ dibaryon with the $J^P=1^{+}$ and ${\bar{\mathrm{\Lambda }}}_c{\mathrm{\Sigma }}_c$ dibaryons with the $J^P=0^{-}$ and $1^{-}$. The other five are unlikely to form the bound dibaryon states, and we assign them as the resonance states.