Search for the doubly Cabibbo-suppressed decays $D^0\to K^{+}{\pi }^{-}{\eta }^{\prime }$ and $D^{+}\to K^{+}{\pi }^0{\eta }^{\prime }$

Abstract

We present the first search for the doubly Cabibbo-suppressed decays $D^0\to K^{+}{\pi }^{-}{\eta }^{\prime }$ and $D^{+}\to K^{+}{\pi }^0{\eta }^{\prime }$ using an $e^{+}{e}^{-}$ collision data sample corresponding to an integrated luminosity of 20.3 fb${}^{-1}$, collected at a center-of-mass energy of 3.773 GeV with the Beijing Spectrometer III (BESIII) detector at the Beijing Electron-Positron Collider II (BEPCII). No significant signals are observed, and the upper limits on their decay branching fractions are set to be $3.0\times 10^{-5}$ and $2.1\times 10^{-5}$ at the 90% confidence level, respectively. By combining these results with the world-average branching fractions of the corresponding Cabibbo-favored decays, upper limits at the 90% confidence level are obtained on the ratios of doubly Cabibbo-suppressed to Cabibbo-favored branching fractions. The limits are determined to be $1.6\times {\tan }^4{\theta }_C$ and $3.7\times {\tan }^4{\theta }_C$ for $D^0\to K^{+}{\pi }^{-}{\eta }^{\prime }$ and $D^{+}\to K^{+}{\pi }^0{\eta }^{\prime }$, respectively, where ${\theta }_C$ denotes the Cabibbo mixing angle.

12 pages, 5 figures