Direct CP Violation in B-+ -> pi-+ omega, pi-+ rho0, pi0 rho-+, and in B-bar0(B0) -> pi-+ rho+- With an Enhanced Branching Ratio for pi0 rho0

Abstract

We present a novel dynamics for generating sizable CP-violating asymmetries in the decays of charged $B^{\mp }\to {\pi }^{\mp }\omega ,{\pi }^{\mp }{\rho }^0,{\pi }^0{\rho }^{\mp }$, and in $\overline{B^0}(B^0)\to {\pi }^{\mp }{\rho }^{\pm }$. The dynamics for the necessary final-state interactions involves the mixing of G-parity eigenstates of the system $({\bar{D}}^{\ast }D,D^{\ast }\text{ol}D)$ with the $G=\pm 1$ states of $\pi \omega$ and $\pi \rho$, respectively. The dynamical effect is enhanced by the empirically large branching ratio for decays to $({\bar{D}}^{\ast }D,D^{\ast }\bar{D})$. A correlated result is a markedly enhanced branching ratio for $\overline{B^0}(B^0)\to {\pi }^0{\rho }^0$, which has now been observed in two experiments.