Amplitude Analysis of the $D^{+}\to K_S^0\ddot{I}{€}^{+}\ddot{I}{€}^0$ Dalitz Plot

Abstract

We perform an analysis of the $D^{+}\to K_S^0\ddot{I}{€}^{+}\ddot{I}{€}^0$ Dalitz plot using a data set of 2.92 fb${}^{-1}$ of $e^{+}{e}^{-}$ collisions at the $\ddot{I}ˆ(3770)$ mass accumulated by the BESIII Experiment, in which 166694 candidate events are selected with a background of 15.1%. The Dalitz plot is found to be well-represented by a combination of six quasi-two-body decay channels ($K_S^0\ddot{I}{}^{+}$, $K_S^0\ddot{I}(1450{)}^{+}$, ${\overline{K}}^{\ast 0}\ddot{I}{€}^{+}$, ${\overline{K}}_0(1430{)}^0\ddot{I}{€}^{+}$, $\overline{K}(1680{)}^0\ddot{I}{€}^{+}$, $\overline{\hat{I}}{º}^0\ddot{I}{€}^{+}$) plus a small non-resonant component. Using the fit fractions from this analysis, partial branching ratios are updated with higher precision than previous measurements.

24 pages, 7 figures, submitted to Phys. Rev. D; Author names added, typos added, old PACS numbers (PACS2003) hidded