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A recent update of data on the decays of D⁰, D⁺, and Dₛ⁺ to pairs of light pseudoscalars calls for a renewed analysis of key decay amplitudes and tests of flavor symmetry. The present data change our previous understanding of relative phases between amplitudes that describe Cabibbo-favored decays of the charmed mesons. The new data also seem to favor a smaller octet-singlet mixing angle for the η and η^' mesons when singly Cabibbo-suppressed processes are taken into account. We also discuss the effects of the new data on interference between Cabibbo-favored and doubly Cabibbo-suppressed decays.
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Bhattacharya et al. (2010) studied this question.
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