By analyzing an $e^{+}{e}^{-}$ data sample corresponding to an integrated luminosity of $2.93{\mathrm{fb}}^{-1}$ taken at a center-of-mass energy of 3.773 GeV with the BESIII detector, we measure the branching fractions of the Cabibbo-favored hadronic decays $D^0\to K^{-}{\pi }^{+}{\eta }^{\prime }$, $D^0\to K_S^0{\pi }^0{\eta }^{\prime }$, and $D^{+}\to K_S^0{\pi }^{+}{\eta }^{\prime }$, which are determined to be $(6.43\pm 0.15_{\mathrm{stat}}\pm 0.31_{\mathrm{syst}})\times {10}^{-3}$, $(2.52\pm 0.22_{\mathrm{stat}}\pm 0.15_{\mathrm{syst}})\times {10}^{-3}$, and $(1.90\pm 0.17_{\mathrm{stat}}\pm 0.13_{\mathrm{syst}})\times {10}^{-3}$, respectively. The precision of the branching fraction of $D^0\to K^{-}{\pi }^{+}{\eta }^{\prime }$ is significantly improved, and the processes $D^0\to K_S^0{\pi }^0{\eta }^{\prime }$ and $D^{+}\to K_S^0{\pi }^{+}{\eta }^{\prime }$ are observed for the first time.

• Received 11 September 2018

DOI:https://doi.org/10.1103/PhysRevD.98.092009

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Published by the American Physical Society