Using 482 pb-1 of data taken at s=4.009 GeV, we measure the branching fractions of the decays of D∗0 into D0π0 and D0γ to be B(D∗0→D0π0)=(65.5±0.8±0.5)% and B(D∗0→D0γ)=(34.5±0.8±0.5)%, respectively, by assuming that the D∗0 decays only into these two modes. The ratio of the two branching fractions is B(D∗0→D0π0)/B(D∗0→D0γ)=1.90±0.07±0.05, which is independent of the assumption made above. The first uncertainties are statistical and the second ones systematic. The precision is improved by a factor of 3 compared to the present world average values.
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