Amplitude Analysis and Branching Fraction Measurement of $D^{+}\to \ddot{I}{€}^{+}\ddot{I}{€}^0\ddot{I}{€}^0$

Abstract

We present the first amplitude analysis of the hadronic decay $D^{+}\to \ddot{I}{€}^{+}\ddot{I}{€}^0\ddot{I}{€}^0$, using $e^{+}{e}^{-}$ collision data collected with the BESIII detector at a center-of-mass energy of 3.773~GeV, corresponding to an integrated luminosity of 20.3~fb${}^{-1}$. The fit fractions of the intermediate processes are measured, in which the $D^{+}\to \ddot{I}(770{)}^{+}\ddot{I}{€}^0$ component is found to be dominant with a branching fraction of $(3.08\pm 0.10_{stat.}\pm 0.05_{syst.})\times 10^{-3}$. Based on the amplitude analysis, the branching fraction of $D^{+}\to \ddot{I}{€}^{+}\ddot{I}{€}^0\ddot{I}{€}^0$ is measured to be $(4.84\pm 0.05_{stat.}\pm 0.05_{syst.})\times 10^{-3}$. In addition, the CP asymmetries, both for specific amplitudes and integrated over the entire phase space, are measured.