We propose a method for determining $\gamma$ using $B^{\pm }\to {\mathrm{DK}}^{\pm }$ decays followed by a multibody D decay, such as $\overrightarrow{D}{K}_S{\pi }^{-}{\pi }^{+},$ $\overrightarrow{D}{K}_S{K}^{-}{K}^{+},$ and $\overrightarrow{D}{K}_S{\pi }^{-}{\pi }^{+}{\pi }^0.$ The main advantages of the method are that it uses only Cabibbo allowed D decays, and that large strong phases are expected due to the presence of resonances. Since no knowledge about the resonance structure is needed, $\gamma$ can be extracted without any hadronic uncertainty.

• Received 1 April 2003

DOI:https://doi.org/10.1103/PhysRevD.68.054018