Direct CP Violation in Λ_b -> n (Λ)π^+π^- Decays via rho-ω Mixing

We study direct CP violation in the bottom baryon decays \Lambda_b -> f \rho^0 (\omega) -> f\pi^+\pi^- (f=n or \Lambda). It is found that in these decays via \rho-\omega mixing the CP violation could be very large when the invariant mass of the \pi^+\pi^- pair is in the vicinity of the \omega resonance. With a typical value N_c =2 in the factorization approach, the maximum CP-violating asymmetries are more than 50% and 68% for \Lambda_b -> n \pi^+\pi^- and \Lambda_b -> \Lambda \pi^+\pi^-, respectively. With the aid of heavy quark symmetry and phenomenological models for the hadronic wave functions of \Lambda_b, \Lambda and the neutron, we estimate the branching ratios of \Lambda_b -> n (\Lambda)\rho^0.