Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-02-15
Phys.Rev. D58 (1998) 014016
Physics
High Energy Physics
High Energy Physics - Phenomenology
18 pages, latex, 1 figure available on request, please send any questions or comments to riazs@dpc.kfupm.edu.sa
Scientific paper
10.1103/PhysRevD.58.014016
The two body non-leptonic $\Lambda_b$ decays are analyzed in factorization approximation, using quark model, $\xi = 1 / N_c$ as a free parameter. It is shown that the experimental branching ratio for $\Lambda_b \longrightarrow \Lambda {J/\psi}$ restricts $\xi$ and this ratio can be understood for a value of $\xi$ which lies in the range $ 0 \leq \xi \leq 0.5 $ suggested by two body B meson decays. The branching ratios for $\Lambda_b \longrightarrow \Lambda_{c} D^*_s(D_s) $ are predicted to be larger than the previous estimates. Finally it is pointed that CKM-Wolfenstein parameter $\rho^2 + \eta^2$, where $\eta$ is CP phase, can be determined from the ratio of widths of $\Lambda_b \longrightarrow \Lambda \bar{D}$ and $\Lambda_b \longrightarrow \Lambda {J/\psi}$ or that of $\Lambda_b \longrightarrow p D_s$ and $\Lambda_b \longrightarrow \Lambda_c D_s$ independent of the parameter $\xi$.
Fayyazuddin
Riazuddin
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