Partial Wave Analysis of ${\chi }_{c0}\to {\pi }^{+}{\pi }^{-}{K}^{+}{K}^{-}$

Abstract

A partial wave analysis of ${\chi }_{c0}\to {\pi }^{+}{\pi }^{-}{K}^{+}{K}^{-}$ in $\psi (2S)\to \gamma {\chi }_{c0}$ decay is presented using a sample of 14 million $\psi (2S)$ 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 ${\chi }_{c0}$ decays from the channels $f_0(980)f_0(980)$, $f_0(980)f_0(2200)$, $f_0(1370)f_0(1710)$, $K^{\ast }(892{)}^0{\bar{K}}^{\ast }(892{)}^0$, $K_0^{\ast }(1430){\bar{K}}_0^{\ast }(1430)$, $K_0^{\ast }(1430){\bar{K}}_2^{\ast }(1430)+c.c.$, 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 $K_0^{\ast }(1430)$ are presented.

16 pages, 9 figures, and 4 tables

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