Technique to observe direct $CP$ violation in $D$ mesons using Bose symmetry and the Dalitz plot

We present a new method to observe direct $CP$ violation in $D$ mesons using Bose symmetry and the Dalitz plot. We apply the method to processes such as $B\to D^0{\overline{D}}^{0}P$, where $P$ is either a $K$ or a $\pi$. By choosing to reconstruct $D$ mesons only through their decays into $CP$ eigenstates, we show that any asymmetry in the Dalitz plot can arise only through direct $CP$ violation. We further show how $CP$ violation parameters can be determined. Since the approach involves only Bose symmetry, the method is applicable to any multibody process that involves $D^0{\overline{D}}^0$ in the final state. We briefly discuss how $B\to D^{*}{\overline{D}}^{*}P$ can also be used in a similar way. This method can also be applied to $D^0{\overline{D}}^0$ in the final state from continuum $c\overline{c}$ production.