Fragmentation fractions of two-body b-baryon decays

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We study the fragmentation fractions (f Bb) of the b-quark to b-baryons (Bb). By the assumption of fΛb/(fᵤ+fd)=0.25± 0.15 in accordance with the measurements by LEP, CDF and LHCb Collaborations, we estimate that fΛb=0.175± 0.106 and fΞb⁻,⁰=0.019± 0.013. From these fragmentation fractions, we derive B(Λb→ J/ψΛ)=(3.3± 2.1)× 10⁻⁴, B(Ξb-→ J/ψΞ-)=(5.3± 3.9)× 10⁻⁴ and B(Ωb-→ J/ψΩ-)>1.9× 10⁻⁵. The predictions of B(Λb→ J/ψΛ) and B(Ξb-→ J/ψΞ-) clearly enable us to test the theoretical models, such as the QCD factorization approach in the b-baryon decays.