  Following the work of Capstick and Isgur
[\href{https://doi.org/10.1103/PhysRevD.34.2809}{Phys.~Rev.~D~34,~2809~(1986)}],
we systematically study the mass spectrum of the heavy baryons in the
relativized quark potential model with chromodynamics. Besides the original
Godfrey-Isgur (GI) model, we also adopt a modified GI model which replaces the
linear confinement by a screened one. The two models give similar results in
our work. All heavy baryons observed so far can be explained as three-quark
states. In particular, we identify the $\Omega_{c}(3000)$/$\Omega_{b}(6316)$,
$\Omega_{c}(3050)$/$\Omega_{b}(6330)$, $\Omega_{c}(3065)$/$\Omega_{b}(6340)$
and $\Omega_{c}(3090)$/$\Omega_{b}(6350)$ states as the $p_{\lambda}$
excitations with quantum numbers $1/2^{-}$, $3/2^{-}$, $3/2^{-}$ and $5/2^{-}$.
The $\Omega_{c}(3120)$ is a $3/2^{-}$ state with the $p_{\rho}$ excitation,
whose bottom partner is predicted to be $\Omega_{b}(6446/6457,3/2^{-})$. The
higher state $\Omega_{c}(3188)$ is the $2s_{\lambda}$ excitation with quantum
numbers $1/2^{+}$, and $\Omega_{c}(3327)$ is a $d_{\lambda}$ excitation with
quantum numbers $3/2^{+}$ or $5/2^{+}$. In addition, the $\Lambda_{c}(2940)$
with quantum numbers $J^{P}=3/2^{-}$ could be explained as the $p_{\rho}$
excitation.
