Mixing angle of doubly heavy baryons in QCD

We calculate the mixing angles between the spin--1/2, $Ξ_{bc}$--$Ξ^\prime_{bc}$ and $Ω_{bc}$--$Ω^\prime_{bc}$ states of doubly heavy baryons within the QCD sum rules method. It is found that the mixing angles are large and have the values $φ_{Ξ_{bc}} = 16^0 \pm 5^0$ and $φ_{Ω_{bc}} = 18^0 \pm 6^0$, respectively. The mixing angles are slightly smaller compared to the predictions of the non--relativistic quark model, $φ_{Ξ_{bc}} = 25.5^0$ and $φ_{Ω_{bc}} = 25.9^0$.

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