Analysis of the D-wave $\mathrm{\Sigma }$-type charmed baryon states with the QCD sum rules

We construct the $\mathrm{\Sigma }$-type currents to investigate the D-wave charmed baryon states with the QCD sum rules systematically. The predicted masses $M=3.35_{-0.18}^{+0.13}\mathrm{G}\mathrm{e}\mathrm{V}$ ($3.33_{-0.16}^{+0.13}\mathrm{G}\mathrm{e}\mathrm{V}$), $3.34_{-0.18}^{+0.14}\mathrm{G}\mathrm{e}\mathrm{V}$ ($3.35_{-0.16}^{+0.13}\mathrm{G}\mathrm{e}\mathrm{V}$) and $3.35_{-0.13}^{+0.12}\mathrm{G}\mathrm{e}\mathrm{V}$ ($3.35_{-0.14}^{+0.12}\mathrm{G}\mathrm{e}\mathrm{V}$) for the ${\mathrm{\Omega }}_c(0,2,{\frac{1}{2}}^{+})$, ${\mathrm{\Omega }}_c(0,2,{\frac{3}{2}}^{+})$ and ${\mathrm{\Omega }}_c(0,2,{\frac{5}{2}}^{+})$ states are in excellent agreement with the experimental data $3327.1\pm 1.2MeV$ from the LHCb collaboration, and support assigning the ${\mathrm{\Omega }}_c(3327)$ to be the $\mathrm{\Sigma }$-type D-wave ${\mathrm{\Omega }}_c$ state with the spin-parity $J^P={\frac{1}{2}}^{+}$, ${\frac{3}{2}}^{+}$ or ${\frac{5}{2}}^{+}$.