Fragmentation fractions of two-body b-baryon decays

We study the fragmentation fractions (fBb)(fBb) of the b  -quark to b-baryons (BbBb). By the assumption of fΛb/(fu+fd)=0.25±0.15fΛb/(fu+fd)=0.25±0.15 in accordance with the measurements by LEP, CDF and LHCb Collaborations, we estimate that fΛb=0.175±0.106fΛb=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)×10−4B(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)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.