Dalitz Plot Analysis of the $D^{+}\to K_S^0{\pi }^{+}{\pi }^0$ Decay

Abstract

We perform an analysis of the $D^{+}\to K_S^0{\pi }^{+}{\pi }^0$ Dalitz plot using a data set of 2.92 fb${}^{-1}$ of $e^{+}{e}^{-}$ collisions at the $\psi (3770)$ 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 ($K_S^0{\rho }^{+}$, $K_S^0\rho (1450{)}^{+}$, ${\overline{K}}^{\ast 0}{\pi }^{+}$, ${\overline{K}}_0(1430{)}^0{\pi }^{+}$, $\overline{K}(1680{)}^0{\pi }^{+}$, ${\overline{\kappa }}^0{\pi }^{+}$) plus a small non-resonant component. We also consider a model-independent approach to confirm an obvious phase shift for the $\overline{\kappa }\pi$ component. Using the fit fractions from this analysis, partial branching ratios are updated with higher precision than previous measurements.

7 pages, 2 figures, to appear in the proceedings of The 6th International Workshop on Charm Physics (CHARM 2013)