Analysis of the ${\mathrm{\Lambda }}_c(2860)$, ${\mathrm{\Lambda }}_c(2880)$, ${\mathrm{\Xi }}_c(3055)$ and ${\mathrm{\Xi }}_c(3080)$ as D-wave baryon states with QCD sum rules

In this article, we tentatively assign the ${\mathrm{\Lambda }}_c(2860)$, ${\mathrm{\Lambda }}_c(2880)$, ${\mathrm{\Xi }}_c(3055)$ and ${\mathrm{\Xi }}_c(3080)$ 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 ${\mathrm{\Lambda }}_c(2860)$, ${\mathrm{\Lambda }}_c(2880)$, ${\mathrm{\Xi }}_c(3055)$ and ${\mathrm{\Xi }}_c(3080)$ 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 ${\mathrm{\Lambda }}_c$ and ${\mathrm{\Xi }}_c$ states can be confronted to the experimental data in the future.