Analysis of the ${\Omega }_c(3000)$, ${\Omega }_c(3050)$, ${\Omega }_c(3066)$, ${\Omega }_c(3090)$ and ${\Omega }_c(3119)$ with QCD sum rules

Abstract

In this article, we assign the ${\Omega }_c(3000)$, ${\Omega }_c(3050)$, ${\Omega }_c(3066)$, ${\Omega }_c(3090)$ and ${\Omega }_c(3119)$ to be the P-wave baryon states with $J^P={\frac{1}{2}}^{-}$, ${\frac{1}{2}}^{-}$, ${\frac{3}{2}}^{-}$, ${\frac{3}{2}}^{-}$ and ${\frac{5}{2}}^{-}$, respectively, and study them with the QCD sum rules by introducing an explicit relative P-wave between the two $s$ quarks. The predictions support assigning the ${\Omega }_c(3050)$, ${\Omega }_c(3066)$, ${\Omega }_c(3090)$ and ${\Omega }_c(3119)$ to be the P-wave baryon states with $J^P={\frac{1}{2}}^{-}$, ${\frac{3}{2}}^{-}$, ${\frac{3}{2}}^{-}$ and ${\frac{5}{2}}^{-}$, respectively, where the two $s$ quarks are in relative P-wave; while the ${\Omega }_c(3000)$ can be assigned to the P-wave baryon state with $J^P={\frac{1}{2}}^{-}$, where the two $s$ quarks are in relative S-wave.

12 pages, 8 figures

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• $P$-wave charmed baryons of the $SU(3)$ flavor $6_F$
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• ${\Omega }_c$ excited states within a ${\mathrm{SU}(6)}_{\mathrm{lsf}}\times$HQSS model
• Strong decay widths and mass spectra of charmed baryons
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• A Mixing Coupling Scheme for Spectra of Singly Heavy Baryons with Spin-1 Diquarks in P-waves
• Refining radiative decay studies in singly heavy baryons
• ${\mathbf{\Omega }}_{\mathbf{b}}^{-}\to ({\mathbf{\Xi }}_{\mathbf{c}}^{+}{\mathbf{K}}^{-}){\mathbf{\pi }}^{-}$ and the ${\mathbf{\Omega }}_{\mathbf{c}}$ states
• Analysis of the D-wave $\Sigma$-type charmed baryon states with the QCD sum rules
• Investigation of the mass spectra of singly heavy baryons ${\Sigma }_Q$, ${\Xi }_Q^{\prime }$ and ${\Omega }_Q$ $(Q=c,b)$ in the Regge trajectory model
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• The molecular nature of some exotic hadrons
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