Resonances in $J/\psi \to \varphi {\pi }^{+}{\pi }^{-}$ and $\varphi K^{+}{K}^{-}$

Abstract

A partial wave analysis is presented of $J/\psi \to \varphi {\pi }^{+}{\pi }^{-}$ and $\varphi K^{+}{K}^{-}$ from a sample of 58M $J/\psi$ events in the BES II detector. The $f_0(980)$ is observed clearly in both sets of data, and parameters of the Flatt\' e formula are determined accurately: $M=965\pm 8$ (stat) $\pm 6$ (syst) MeV/c${}^2$, $g_1=165\pm 10\pm 15$ MeV/c${}^2$, $g_2/g_1=4.21\pm 0.25\pm 0.21$. The $\varphi \pi \pi$ data also exhibit a strong $\pi \pi$ peak centred at $M=1335$ MeV/c${}^2$. It may be fitted with $f_2(1270)$ and a dominant $0^{+}$ signal made from $f_0(1370)$ interfering with a smaller $f_0(1500)$ component. There is evidence that the $f_0(1370)$ signal is resonant, from interference with $f_2(1270)$. There is also a state in $\pi \pi$ with $M=1790_{-30}^{+40}$ MeV/c${}^2$ and $\Gamma =270_{-30}^{+60}$ MeV/c${}^2$; spin 0 is preferred over spin 2. This state, $f_0(1790)$, is distinct from $f_0(1710)$. The $\varphi K\bar{K}$ data contain a strong peak due to $f_2^{\prime }(1525)$. A shoulder on its upper side may be fitted by interference between $f_0(1500)$ and $f_0(1710)$.

17 pages, 6 figures, 1 table. Submitted to Phys. Lett. B

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