Heavy baryons in the relativized quark model with chromodynamics

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 ${\mathrm{\Omega }}_c(3000)$/${\mathrm{\Omega }}_b(6316)$, ${\mathrm{\Omega }}_c(3050)$/${\mathrm{\Omega }}_b(6330)$, ${\mathrm{\Omega }}_c(3065)$/${\mathrm{\Omega }}_b(6340)$ and ${\mathrm{\Omega }}_c(3090)$/${\mathrm{\Omega }}_b(6350)$ states as the $p_{\lambda }$ excitations with quantum numbers $1\mathrm{/}{2}^{-}$, $3\mathrm{/}{2}^{-}$, $3\mathrm{/}{2}^{-}$ and $5\mathrm{/}{2}^{-}$. The ${\mathrm{\Omega }}_c(3120)$ is a $3\mathrm{/}{2}^{-}$ state with the $p_{\rho }$ excitation, whose bottom partner is predicted to be ${\mathrm{\Omega }}_b(6446\mathrm{/}6457,3\mathrm{/}{2}^{-})$. The higher state ${\mathrm{\Omega }}_c(3188)$ is the $2s_{\lambda }$ excitation with quantum numbers $1\mathrm{/}{2}^{+}$, and ${\mathrm{\Omega }}_c(3327)$ is a $d_{\lambda }$ excitation with quantum numbers $3\mathrm{/}{2}^{+}$ or $5\mathrm{/}{2}^{+}$. In addition, the ${\mathrm{\Lambda }}_c(2940)$ with quantum numbers $J^P=3\mathrm{/}{2}^{-}$ could be explained as the $p_{\rho }$ excitation.