Measuring the weak phaseγin color allowedB→DKπdecays

We present a method to measure the weak phase $\gamma$ in the three-body decay of charged $B^{\pm }$ mesons to the final states ${\mathrm{DK}}^{\pm }{\pi }^0.$ These decays are mediated by interfering amplitudes which are color allowed and hence relatively large. As a result, large CP violation effects that could be observed with high statistical significance are possible. In addition, the three-body decay helps resolve discrete ambiguities that are usually present in measurements of the weak phase. The experimental implications of conducting these measurements with three-body decays are discussed, and the sensitivity of the method is evaluated using a simulation.