Measurements of branching fractions of $D^0\to K^{-}3\ddot{I}{€}^{+}2\ddot{I}{€}^{-}$, $D^0\to K^{-}2\ddot{I}{€}^{+}\ddot{I}{€}^{-}2\ddot{I}{€}^0$ and $D^{+}\to K^{-}3\ddot{I}{€}^{+}\ddot{I}{€}^{-}\ddot{I}{€}^0$

Abstract

Utilizing $7.9\mathrm{f}{\mathrm{b}}^{-1}$ of $e^{+}{e}^{-}$ collision data taken with the BESIII detector at the center-of-mass energy of 3.773 GeV, we report the measurements of absolute branching fractions of the hadronic decays $D^0\to K^{-}3\ddot{I}{€}^{+}2\ddot{I}{€}^{-}$, $D^0\to K^{-}2\ddot{I}{€}^{+}\ddot{I}{€}^{-}2\ddot{I}{€}^0$ and $D^{+}\to K^{-}3\ddot{I}{€}^{+}\ddot{I}{€}^{-}\ddot{I}{€}^0$. The $D^0\to K^{-}3\ddot{I}{€}^{+}2\ddot{I}{€}^{-}$ decay is measured with improved precision, while the latter two decays are observed with statistical significance higher than $5\ddot{I}ƒ$ for the first time. The absolute branching fractions of these decays are determined to be $\mathcal{B}(D^0\to K^{-}3\ddot{I}{€}^{+}2\ddot{I}{€}^{-})=(1.35\pm 0.23\pm 0.08)\times 10^{-4}$, $\mathcal{B}(D^0\to K^{-}2\ddot{I}{€}^{+}\ddot{I}{€}^{-}2\ddot{I}{€}^0)=(19.0\pm 1.1\pm 1.5)\times 10^{-4}$, and $\mathcal{B}(D^{+}\to K^{-}3\ddot{I}{€}^{+}\ddot{I}{€}^{-}\ddot{I}{€}^0)=(6.57\pm 0.69\pm 0.33)\times 10^{-4}$, where the first uncertainties are statistical and the second systematic.

12pages, 6 figures, 4 tables