Signal for CP violation in $B^{\pm }\to P\bar{P}{\pi }^{\pm }$ decays

Abstract

We analyze the partial rate asymmetry in $B^{\pm }\to P\bar{P}{\pi }^{\pm }$ decays ($P={\pi }^{+},K^{+},{\pi }^0,\eta$) which results from the interference of the nonresonant decay amplitude and the resonant amplitude for $B^{\pm }\to {\chi }_{c0}{\pi }^{\pm }$ followed by the decay ${\chi }_{c0}\to P\bar{P}$. The CP violating phase $\gamma$ can be extracted from the measured asymmetry. We find that the partial rate asymmetry for $B^{\pm }\to {\pi }^{+}{\pi }^{-}{\pi }^{\pm }$ is $0.33sin\gamma$, while for $B^{\pm }\to K^{+}{K}^{-}{\pi }^{\pm }$ it amounts $0.45sin\gamma$.

Comments: 3 pages, latex, no figures, Talk given by S. Fajfer at the Hyperons, Charm and Beauty Hadrons, Genova, Italy, 30 June -3 July 1998, to appear as proceedings in Nucl. Phys. B