Heavy baryons in the relativized quark model with chromodynamics

Abstract

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.

Comments: 22 pages, 10 figures, revised version accepted by PRD