No final-state phase ambiguities in additionalBddecays with largeCPviolation

The $B_d$ decay modes ${\overline{D}}^0\left({\overline{D}}^{*0\mathrm{}}\right)X^0$ generated by the quark process $\overline{b}\to \overline{c}+u\overline{d}$ have a large $\mathrm{CP}$ asymmetry within the Cabibbo-Kobayashi-Maskawa (CKM) model. Here $X^0$ denotes a light, neutral meson with zero strangeness, such as ${\pi }^0$, ${\rho }^0$, $\omega$, etc. This asymmetry depends only on a ratio of CKM matrix elements and not on final-state phases. The CKM model predicts (up to a sign) the same asymmetries for the ${\overline{D}}^0\left({\overline{D}}^{*0\mathrm{}}\right)X^0$, $\psi K_S$, and $D^{+}{D}^{-}$ modes. Adding those modes might lower the required luminosity for observing $\mathrm{CP}$ violation within the CKM model. On the other hand, future high-statistics measurements could reveal violations of the CKM model simply by demonstrating that the modes $\psi K_S$, $D^{+}{D}^{-}$ and ${\overline{D}}^0\left({\overline{D}}^{*0\mathrm{}}\right)X^0$ differ in their individual $\mathrm{CP}$ asymmetries.