  Cabibbo allowed two-body hadronic weak decays of Lambda b baryons are
analyzed in the factorization approximation. We use the covariant oscillator
quark model to evaluate the heavy to heavy and heavy to light form factors.
When applied in the heavy quark limit, our form factors satisfy all the
constraints imposed by heavy quark symmetry. The decay rates and up-down
asymmetries for Lambda b baryon decaying into Lambda c +P(V) are calculated. It
is found that the up-down asymmetry is negative in all these decay modes.
Furthermore, the prediction Br(Lambda b to Lambda+J/psi)=2.49 times 10^-4 is
consistent with the recent experimental data. Finally it is pointed out that
the CKM-Wolfenstein parameter rho^2+eta^2, where eta is the CP phase, can be
determined from the ratio of the widths Lambda b to Lambda bar D^0 and Lambda b
to Lambda J/psi, independent of the QCD parameter. The value of (rho^2
+eta^2)^1/2 calculated in our model agrees very well with the value recently
predicted by Rosner.
