  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.
