  In this article, we distinguish the contributions of the positive parity and
negative parity $\Omega_c$ states, study the masses and pole residues of the
1S, 1P, 2S and 2P $\Omega_c$ states with the spin $J=\frac{1}{2}$ and
$\frac{3}{2}$ using the QCD sum rules in a consistent way, and revisit the
assignments of the new narrow excited $\Omega_c^0$ states. The predictions
support assigning the $\Omega_c(3000)$ to be the 1P $\Omega_c$ state with
$J^P={\frac{1}{2}}^-$, assigning the $\Omega_c(3090)$ to be the 1P $\Omega_c$
state with $J^P={\frac{3}{2}}^-$ or the 2S $\Omega_c$ state with
$J^P={\frac{1}{2}}^+$, and assigning $\Omega_c(3119)$ to be the 2S $\Omega_c$
state with $J^P={\frac{3}{2}}^+$.
