Analysis of the $\Lambda_c(2860)$, $\Lambda_c(2880)$, $\Xi_c(3055)$ and $\Xi_c(3080)$ as D-wave baryon states with QCD sum rules

In this article, we tentatively assign the $\Lambda_c(2860)$, $\Lambda_c(2880)$, $\Xi_c(3055)$ and $\Xi_c(3080)$ to be the D-wave baryon states with the spin-parity $J^P={\frac{3}{2}}^+$, ${\frac{5}{2}}^+$, ${\frac{3}{2}}^+$ and ${\frac{5}{2}}^+$, respectively, and study their masses and pole residues with the QCD sum rules in a systematic way by constructing three-types interpolating currents with the quantum numbers $(L_\rho,L_\lambda)=(0,2)$, $(2,0)$ and $(1,1)$, respectively. The present predictions favor assigning the $\Lambda_c(2860)$, $\Lambda_c(2880)$, $\Xi_c(3055)$ and $\Xi_c(3080)$ to be the D-wave baryon states with the quantum numbers $(L_\rho,L_\lambda)=(0,2)$ and $J^P={\frac{3}{2}}^+$, ${\frac{5}{2}}^+$, ${\frac{3}{2}}^+$ and ${\frac{5}{2}}^+$, respectively. While the predictions for the masses of the $(L_\rho,L_\lambda)=(2,0)$ and $(1,1)$ D-wave $\Lambda_c$ and $\Xi_c$ states can be confronted to the experimental data in the future.