The two body non-leptonic Λ b decays are analyzed in factorization approximation, using quark model, ξ = 1/N c as a free parameter. It is shown that the experimental branching ratio for Λ b −→ 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 Λ b −→ Λ c D * s (D s ) are predicted to be larger than the previous estimates. Finally it is pointed that CKM-Wolfenstein parameter ρ 2 + η 2 , where η is CP phase, can be determined from the ratio of widths of Λ b −→ ΛD and Λ b −→ ΛJ/ψ or that of Λ b −→ p D s and Λ b −→ Λ c D s independent of the parameter ξ.
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