Partial wave analysis of ${\ensuremath{\chi}}_{c0}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}{K}^{+}{K}^{\ensuremath{-}}$

Partial wave analysis of $χ_{c 0} \to π^{+} π^{-} K^{+} K^{-}$

M. Ablikim et al. (BES Collaboration)

Phys. Rev. D 72, 092002 – Published 4 November 2005

Abstract

A partial wave analysis of $χ_{c 0} \to π^{+} π^{-} K^{+} K^{-}$ in $ψ (2 S) \to γ χ_{c 0}$ decay is presented using a sample of $14 \times 10^{6}$ $ψ (2 S)$ events accumulated by the BES II detector. The data are fitted to the sum of relativistic covariant tensor amplitudes for intermediate resonant decay modes. From the fit, significant contributions to $χ_{c 0}$ decays from the channels $f_{0} (980) f_{0} (980)$ , $f_{0} (980) f_{0} (2200)$ , $f_{0} (1370) f_{0} (1710)$ , $K^{*} (892)^{0} {\bar{K}}^{*} (892)^{0}$ , $K_{0}^{*} (1430) {\bar{K}}_{0}^{*} (1430)$ , $K_{0}^{*} (1430) {\bar{K}}_{2}^{*} (1430) + c . c .$ , and $K_{1} (1270) K$ are found. Flavor-SU(3)-violating $K_{1} (1270) - K_{1} (1400)$ asymmetry is observed. Values obtained for the masses and widths of the resonances $f_{0} (1710)$ , $f_{0} (2200)$ , $f_{0} (1370)$ , and $K_{0}^{*} (1430)$ are presented.