Direct CP violation in B → ρ0(ω) PS

We calculate the direct CP violating asymmetry parameter, aCP, for B → π+π-π and B → π+π-K decays, in the case where ρ0 - ω mixing effects are taken into account. We find that the direct CP asymmetry for B- → π+π-π-, (bar B)0 → π+π-π0, B- → π+π-K- and (bar B)0 → π+π- (bar K)0, reaches its maximum when the invariant mass π+π- is in the vicinity of the ω meson mass. The inclusion of ρ0 - ω mixing provides an opportunity to erase, without ambiguity, the phase uncertainty modΠ in the determination of the CKM angles α in case of b → u and γ in case of b → s