Measurement of Singly Cabibbo-Suppressed Decays $D\to \ddot{I}‰\ddot{I}€\ddot{I}€$

Abstract

Using 2.93 fb${}^{-1}$ of $e^{+}{e}^{-}$ collision data taken at a center-of-mass energy of 3.773 GeV by the BESIII detector at the BEPCII, we measure the branching fractions of the singly Cabibbo-suppressed decays $D\to \ddot{I}‰\ddot{I}€\ddot{I}€$ to be $\mathcal{B}(D^0\to \ddot{I}‰\ddot{I}{€}^{+}\ddot{I}{€}^{-})=(1.33\pm 0.16\pm 0.12)\times 10^{-3}$ and $\mathcal{B}(D^{+}\to \ddot{I}‰\ddot{I}{€}^{+}\ddot{I}{€}^0)=(3.87\pm 0.83\pm 0.25)\times 10^{-3}$, where the first uncertainties are statistical and the second ones systematic. The statistical significances are $12.9\ddot{I}ƒ$ and $7.7\ddot{I}ƒ$, respectively. The precision of $\mathcal{B}(D^0\to \ddot{I}‰\ddot{I}{€}^{+}\ddot{I}{€}^{-})$ is improved by a factor of 2.1 over the CLEO measurement, and $\mathcal{B}(D^{+}\to \ddot{I}‰\ddot{I}{€}^{+}\ddot{I}{€}^0)$ is measured for the first time. No significant signal of $\mathcal{B}(D^0\to \ddot{I}‰\ddot{I}{€}^0\ddot{I}{€}^0)$ is observed, and the upper limit on the branching fraction is $\mathcal{B}(D^0\to \ddot{I}‰\ddot{I}{€}^0\ddot{I}{€}^0)<1.10\times 10^{-3}$ at the $90\%$ confidence level. The branching fractions of $D\to \hat{I}\cdot \ddot{I}€\ddot{I}€$ are also measured and consistent with existing results.

11 pages, 5 figures and 4 tables