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Mixing angle of doubly heavy baryons in QCD

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arxiv 1205.6320 v2 pith:XLWVLU5N submitted 2012-05-29 hep-ph

Mixing angle of doubly heavy baryons in QCD

classification hep-ph
keywords mixingomegavarphianglesbaryonsdoublyheavyprime
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We calculate the mixing angles between the spin--1/2, $\Xi_{bc}$--$\Xi^\prime_{bc}$ and $\Omega_{bc}$--$\Omega^\prime_{bc}$ states of doubly heavy baryons within the QCD sum rules method. It is found that the mixing angles are large and have the values $\varphi_{\Xi_{bc}} = 16^0 \pm 5^0$ and $\varphi_{\Omega_{bc}} = 18^0 \pm 6^0$, respectively. The mixing angles are slightly smaller compared to the predictions of the non--relativistic quark model, $\varphi_{\Xi_{bc}} = 25.5^0$ and $\varphi_{\Omega_{bc}} = 25.9^0$.

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    Polarization of the parent baryon, daughter baryon, and muon strongly reshapes branching ratios, forward-backward asymmetries, and newly defined polarization ratios in Ξ_cc++ → Ξ_c+ ℓ ν, while the μ/e LFU ratio stays ...