  Very recently, LHCb Collaboration observed that two new $\Omega_{c}^{0}$
states decay into $\Xi^{+}_{c}K^{-}$ with masses of about $3185$ MeV and $3327$
MeV. However, their spin parity quantum numbers $J^{P}$ have not been
determined. In this paper, we exploit the quark-diquark model, the linear Regge
trajectory and the perturbation treatment method to analyze the mass spectra of
the discovered experimental data for the singly heavy baryons
$\Sigma_{c}/\Sigma_{b}$, $\Xi^{\prime}_{c}/\Xi^{\prime}_{b}$ and
$\Omega_{c}/\Omega_{b}$. In addition, we further predict the mass spectra of
several unobserved $\Sigma_{c}/\Sigma_{b}$, $\Xi^{\prime}_{c}/\Xi^{\prime}_{b}$
and $\Omega_{c}/\Omega_{b}$ baryons. In the case of the $\Omega_c(3185)^{0}$
and $\Omega_c(3327)^{0}$ states, we determine $\Omega_{c}(3185)^{0}$ as $2S$
state and $\Omega_{c}(3327)^{0}$ as $1D$ state with $J^{P}=1/2^{+}$ and
$J^{P}=3/2^{+}$, respectively. An overall good agreement of the obtained
predictions with available experimental data are found.
