LargeCPAsymmetries inB±→ηc(χc0)π±from theηc(χc0)Width

We study $\mathrm{CP}$ asymmetries in $B^{\pm }\to h{\pi }^{\pm }$ decays, where the hadronic states $h=\rho \rho ,K\overline{K}\pi ,{\pi }^{+}{\pi }^{-}{K}^{+}{K}^{-}$, etc., and $h={\pi }^{+}{\pi }^{-}{,K}^{+}{K}^{-},2\mathrm{}\left({\pi }^{+}{\pi }^{-}\right)$, etc., are taken on the resonances ${\eta }_c$ and ${\chi }_{c0\mathrm{}}$, respectively. The relatively large ${\eta }_c$ and ${\chi }_{c0\mathrm{}}$ decay widths, of about 10–15 MeV, provide the necessary absorptive phase in the interference between the resonance (going through $b\to c\overline{c}d$) and the background (through $b\to u\overline{u}d$) contributions to the amplitude. Large asymmetries of order 10% or more are likely in some modes.