| Summary: | Abstract We construct the $$\Sigma $$ Σ -type currents to investigate the D-wave charmed baryon states with the QCD sum rules systematically. The predicted masses $$M=3.35^{+0.13}_{-0.18}\,\textrm{GeV}$$ M = 3 . 35 - 0.18 + 0.13 GeV ( $$3.33^{+0.13}_{-0.16}\,\textrm{GeV}$$ 3 . 33 - 0.16 + 0.13 GeV ), $$3.34^{+0.14}_{-0.18}\,\textrm{GeV}$$ 3 . 34 - 0.18 + 0.14 GeV ( $$3.35^{+0.13}_{-0.16}\,\textrm{GeV}$$ 3 . 35 - 0.16 + 0.13 GeV ) and $$3.35^{+0.12}_{-0.13}\, \textrm{GeV}$$ 3 . 35 - 0.13 + 0.12 GeV ( $$3.35^{+0.12}_{-0.14}\,\textrm{GeV}$$ 3 . 35 - 0.14 + 0.12 GeV ) for the $$\Omega _c(0,2,{\frac{1}{2}}^+)$$ Ω c ( 0 , 2 , 1 2 + ) , $$\Omega _c(0,2,{\frac{3}{2}}^+)$$ Ω c ( 0 , 2 , 3 2 + ) and $$\Omega _c(0,2,{\frac{5}{2}}^+)$$ Ω c ( 0 , 2 , 5 2 + ) states are in excellent agreement with the experimental data $$ 3327.1\pm 1.2 \text{ MeV }$$ 3327.1 ± 1.2 MeV from the LHCb collaboration, and support assigning the $$\Omega _c(3327)$$ Ω c ( 3327 ) to be the $$\Sigma $$ Σ -type D-wave $$\Omega _c$$ Ω c state with the spin-parity $$J^P={\frac{1}{2}}^+$$ J P = 1 2 + , $${\frac{3}{2}}^+$$ 3 2 + or $${\frac{5}{2}}^+$$ 5 2 + .
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