The two body non-leptonic Λb decays are analyzed in factorization
approximation, using quark model, ξ=1/Nc as a free parameter. It is
shown that the experimental branching ratio for Λb⟶ΛJ/ψ restricts ξ and this ratio can be understood for a value
of ξ which lies in the range 0≤ξ≤0.5 suggested by two body
B meson decays. The branching ratios for Λb⟶ΛcDs∗(Ds) are predicted to be larger than the previous estimates. Finally it
is pointed that CKM-Wolfenstein parameter ρ2+η2, where η is CP
phase, can be determined from the ratio of widths of Λb⟶ΛDˉ and Λb⟶ΛJ/ψ or that of
Λb⟶pDs and Λb⟶ΛcDs
independent of the parameter ξ.Comment: 18 pages, latex, 1 figure available on request, please send any
questions or comments to [email protected]
The two body non-leptonic Λb decays are analyzed in the HQET with
factorization approximation and large Nc limit. In this limit, Λb
and Λc baryons can be treated as the bound states of chiral soliton
and heavy meson, and consequently the Isgur-Wise function comes out in a
straight forward manner. The results obtained remain well below their
previously predicted upper limit