New data on the decays of the charmed particles $D^0$, $D^{+}$, and $D_s^{+}$ to pairs of light pseudoscalar mesons $P$ allow the testing of flavor symmetry and the extraction of key amplitudes. Information on relative strong phases is obtained. One sees evidence for the expected interference between Cabibbo-favored and doubly Cabibbo-suppressed decays in the differing patterns of $D^0\to K_{S,L}{\pi }^0$ and $D^{+}\to K_{S,L}{\pi }^{+}$ decays.

• Received 31 March 2008

DOI:https://doi.org/10.1103/PhysRevD.77.114020