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Based on 2.93 fb$^{-1}$ $e^+e^-$ collision data taken at center-of-massenergy of 3.773 GeV by the BESIII detector, we report searches for the singlyCabibbo-suppressed decays $D^{+}\to\omega\pi^{+}$ and $D^{0}\to\omega\pi^{0}$.A double tag technique is used to measure the absolute branching fractions$\mathcal{B}(D^{+}\to\omega\pi^{+})=(2.79\pm0.57\pm0.16)\times 10^{-4}$ and$\mathcal{B}(D^{0}\to\omega\pi^{0})=(1.17\pm0.34\pm0.07)\times 10^{-4}$, withstatistical significances of $5.5\sigma$ and $4.1\sigma$, respectively. We alsopresent measurements of the absolute branching fractions for the related $\eta\pi$ decay modes. We find$\mathcal{B}(D^{+}\to\eta\pi^{+})=(3.07\pm0.22\pm0.13)\times10^{-3}$ and$\mathcal{B}(D^{0}\to\eta\pi^{0})=(0.65\pm0.09\pm0.04)\times10^{-3}$, which areconsistent with the current world averages. The first and second uncertaintiesare statistical and systematic, respectively.

Observation of the Singly Cabibbo-Suppressed Decay $D^{+}\to\omega\pi^{+}$ and Evidence for $D^{0}\to\omega\pi^{0}$