The role of $f_0(1710)$ in the $\varphi \omega$ threshold peak of $J/\Psi \to \gamma \varphi \omega$

Abstract

We study the process $J/\Psi \to \gamma \varphi \omega$, measured by the BES experiment, where a neat peak close to the $\varphi \omega$ threshold is observed and is associated to a scalar meson resonance around 1800 MeV. We make the observation that a scalar resonance coupling to $\varphi \omega$ unavoidably couples strongly to $K\bar{K}$, but no trace of a peak is seen in the $K\bar{K}$ spectrum of the $J/\Psi \to \gamma K\bar{K}$ at this energy. This serves us to rule out the interpretation of the observed peak as a signal of a new resonance. After this is done, a thorough study is performed on the production of a pair of vector mesons and how its interaction leads necessarily to a peak in the $J/\Psi \to \gamma \varphi \omega$ reaction close to the $\varphi \omega$ threshold, due to the dynamical generation of the $f_0(1710)$ resonance by the vector-vector interaction. We then show that both the shape obtained for the $\varphi \omega$ mass distribution, as well as the strength are naturally reproduced by this mechanism. The work also explains why the $\varphi \omega$ peak is observed in the BES experiment and not in other reactions, like $B^{\pm }\to K^{\pm }\varphi \omega$ of Belle.

Published version

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Cited by in corpus (21)

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• Unveiling the $a_0(1710)$ nature in the process $J/\psi \to {\bar{K}}^0{K}^{+}{\rho }^{-}$
• ${\chi }_{c0}\omega$ production in $e^{+}{e}^{-}$ annihilation through $\psi (4160)$
• Role of the $f_1(1285)$ state in the $J/\psi \to \varphi \bar{K}{K}^{\ast }$ and $J/\psi \to \varphi f_1(1285)$ decays
• Using QCD Counting rules to Identify the Production of Gluonium
• $J/\psi$ decay to $\varphi ,\omega ,K^{\ast 0}$ plus $f_0(1370)$, $f_0(1710)$, $K_0^{\ast }(1430)$, $f_2(1270)$, $f_2^{\prime }(1525)$ and $K_2^{\ast }(1430)$: role of the $D$-wave for tensor production
• Faddeev fixed-center approximation to the $\eta K^{\ast }{\bar{K}}^{\ast }$, $\pi K^{\ast }{\bar{K}}^{\ast }$ and $K{K}^{\ast }{\bar{K}}^{\ast }$ systems
• Dynamically generated states from the $\eta K^{\ast }{\bar{K}}^{\ast }$, $\pi K^{\ast }{\bar{K}}^{\ast }$, and $K{K}^{\ast }{\bar{K}}^{\ast }$ systems within the fixed-center approximation