The CP violating asymmetry in B±→MM̄π±

We analyze the asymmetry in the partial widths for the decays B±→MM̄π± (M=π+,K+,π0,η), which results from the interference of the nonresonant decay amplitude with the resonant amplitude for B±→χc0π± followed by the decay χc0→MM̄. The CP violating phase γ can be extracted from the measured asymmetry. We find that the partial width asymmetry for B±→π+π−π± is about 0.33 sinγ, and about 0.45 sinγ for B±→K+K−π±, while it is somewhat smaller for B±→π0π0π± and B±→ηηπ±. Potential sources of uncertainties in these results, primarily coming from poorly known input parameters, are discussed.