Effect of the $K\overline{K}$ and $\eta \eta$ channels and interference phenomena in the two-pion and $K\overline{K}$ transitions of charmonia and bottomonia

Abstract

It is shown that the basic shape of dipion and $K\overline{K}$ mass spectra in decays $J/\psi \to \varphi (\pi \pi ,K\overline{K})$, $\psi (2S)\to J/\psi \pi \pi$, $Y(4260)\to J/\varphi \pi \pi$ and in the two-pion transitions of bottomonia states are explained by an unified mechanism based on the contribution of the $\pi \pi$, $K\overline{K}$ and $\eta \eta$ coupled channels including their interference. The role of the individual $f_0$ resonances in making up the shape of the dipion mass distributions in the charmonia and bottomonia decays is considered.

13 pages, 9 figures

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• Observation of two charged bottomonium-like resonances in Y(5S) decays
• Resonances in $J/\psi \to \varphi {\pi }^{+}{\pi }^{-}$ and $\varphi K^{+}{K}^{-}$
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• Role of multichannel pi pi scattering in decays of bottomia
• Unified description of BaBar and Belle data on the bottomonia decays Upsilon(mS) -> Upsilon(nS) pi+ pi-

Cited by in corpus (3)

• Cross sections for 2-to-1 meson-meson scattering
• Inelastic Meson-Meson Scattering in Hadronic Matter
• Coupled-channel analysis of the process $\gamma \gamma \to {\pi }^0{\pi }^0$