Dalitz plot analysis of ${D}_{s}^{+}\ensuremath{\rightarrow}{K}^{+}{K}^{\ensuremath{-}}{\ensuremath{\pi}}^{+}$

Dalitz plot analysis of $D_{s}^{+} \to K^{+} K^{-} π^{+}$

R. E. Mitchell et al. (CLEO Collaboration)

Phys. Rev. D 79, 072008 – Published 24 April 2009

Abstract

We perform a Dalitz plot analysis of the decay $D_{s}^{+} \to K^{+} K^{-} π^{+}$ with the CLEO-c data set of $586 {pb}^{- 1}$ of $e^{+} e^{-}$ collisions accumulated at $\sqrt{s} = 4.17 GeV$ . This corresponds to about $0.57 \times 10^{6}$ $D_{s}^{\pm} D_{s}^{* \mp}$ pairs from which we select 14 400 candidates with a background of roughly 15%. In contrast to previous measurements we find good agreement with our data only by including an additional $f_{0} (1370) π^{+}$ contribution. We measure the magnitude, phase, and fit fraction of $K^{*} (892)^{0} K^{+}$ , $ϕ (1020) π^{+}$ , $K_{0}^{*} (1430) K^{+}$ , $f_{0} (980) π^{+}$ , $f_{0} (1710) π^{+}$ , and $f_{0} (1370) π^{+}$ contributions and limit the possible contributions of other $K K$ and $K π$ resonances that could appear in this decay.