Analysis of the decay $D^0\to K_S^0{K}^{+}{K}^{-}$

Abstract

Using a data sample of $2.93f{b}^{-1}$ of $e^{+}{e}^{-}$ collisions collected at $\sqrt{s}=3.773GeV$ in the BESIII experiment, we perform an analysis of the decay $D^0\to K_S^0{K}^{+}{K}^{-}$. The Dalitz plot is analyzed using $1856\pm 45$ flavor-tagged signal decays. We find that the Dalitz plot is well described by a set of six resonances: $a_0(980{)}^0$, $a_0(980{)}^{+}$, $\varphi (1020)$, $a_2(1320{)}^{+}$, $a_2(1320{)}^{-}$ and $a_0(1450{)}^{-}$. Their magnitudes, phases and fit fractions are determined as well as the coupling of $a_0(980)$ to $K\bar{K}$, $g_{K\bar{K}}=3.77\pm 0.24\text{(stat.)}\pm 0.35\text{(sys.)}GeV$. The branching fraction of the decay $D^0\to K_S^0{K}^{+}{K}^{-}$ is measured using $11660\pm 118$ untagged signal decays to be $(4.51\pm 0.05\text{(stat.)}\pm 0.16\text{(sys.)})10^{-3}$. Both measurements are limited by their systematic uncertainties.

17 pages, 8 figures