Search for $\mathrm{CP}$ violation in $D^0\to K_S^0{\pi }^0,$ $D^0\to {\pi }^0{\pi }^0$ and $D^0\to K_S^0{K}_S^0$ decays

We have searched for $\mathrm{CP}$-violating asymmetries in neutral charm meson decays in 13.7 ${\mathrm{fb}}^{-1}$ of $e^{+}{e}^{-}$ collision data at $\sqrt{s}\approx 10.6\hspace{0.5em}\mathrm{GeV}$ with the CLEO detector. The measured asymmetries in the rate of $D^0$ and $\overline{D^0}$ decays to $K_S^0{\pi }^0,$ ${\pi }^0{\pi }^0$ and $K_S^0{K}_S^0$ final states are $(+0.1\mathrm{}\pm 1.3)\%,$ $(+0.1\mathrm{}\pm 4.8)\%$ and $(-23\pm 19)\%,$ respectively.