Amplitude analysis and branching fraction measurement of the Cabibbo-favored decay $D^{+}\to K^{-}\ddot{I}{€}^{+}\ddot{I}{€}^{+}\ddot{I}{€}^0$

Abstract

An amplitude analysis of the Cabibbo-favored decay $D^{+}\to K^{-}\ddot{I}{€}^{+}\ddot{I}{€}^{+}\ddot{I}{€}^0$ is performed, using 7.93 ${\mathrm{fb}}^{-1}$ of $e^{+}{e}^{-}$ collision data collected with the BESIII detector at the center-of-mass energy of 3.773 GeV. The branching fractions of the intermediate processes are measured, with the dominant contribution $D^{+}\to {\bar{K}}^{\ast }(892{)}^0\ddot{I}(770{)}^{+}$ observed to have a branching fraction of $(4.15\pm 0.07_{stat.}\pm 0.17_{syst.})\%$. With the detection efficiency derived from the amplitude analysis, the absolute branching fraction of $D^{+}\to K^{-}\ddot{I}{€}^{+}\ddot{I}{€}^{+}\ddot{I}{€}^0$ is measured to be $(6.06\pm 0.04_{stat.}\pm 0.07_{syst.})\%$.