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 $Ω_{c}(3000)$/$Ω_{b}(6316)$, $Ω_{c}(3050)$/$Ω_{b}(6330)$, $Ω_{c}(3065)$/$Ω_{b}(6340)$ and $Ω_{c}(3090)$/$Ω_{b}(6350)$ states as the $p_λ$ excitations with quantum numbers $1/2^{-}$, $3/2^{-}$, $3/2^{-}$ and $5/2^{-}$. The $Ω_{c}(3120)$ is a $3/2^{-}$ state with the $p_ρ$ excitation, whose bottom partner is predicted to be $Ω_{b}(6446/6457,3/2^{-})$. The higher state $Ω_{c}(3188)$ is the $2s_λ$ excitation with quantum numbers $1/2^{+}$, and $Ω_{c}(3327)$ is a $d_λ$ excitation with quantum numbers $3/2^{+}$ or $5/2^{+}$. In addition, the $Λ_{c}(2940)$ with quantum numbers $J^{P}=3/2^{-}$ could be explained as the $p_ρ$ excitation.