$J/\psi \to \gamma \pi \pi$, $\gamma {\pi }^0\eta$ reactions and the $f_0(980)$ and $a_0(980)$ resonances

Abstract

We study the $J/\psi \to \gamma {\pi }^{+}{\pi }^{-}$, $\gamma {\pi }^0\eta$ reactions from the perspective that they come from the $J/\psi \to \varphi (\omega ){\pi }^{+}{\pi }^{-},{\rho }^0{\pi }^0\eta$ reactions, where the ${\rho }^0$, $\omega$, and $\varphi$ get converted into a photon via vector meson dominance. Using models successfully used previously to study the $J/\psi \to \omega (\varphi )\pi \pi$ reactions, we make determinations of the invariant mass distributions for ${\pi }^{+}{\pi }^{-}$ in the regions of the $f_0(500)$, $f_0(980)$, and for ${\pi }^0\eta$ in the region of the $a_0(980)$. The integrated differential widths lead to branching ratios below present upper bounds, but they are sufficiently large for future check in updated facilities.

arXiv comment14 pages, 9 figures

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Cited by in corpus (8)

• Evidence of the four-quark nature of $f_0(980)$ and $f_0(500)$
• The $D_s^{+}\to a_0(980)e^{+}{\nu }_e$ reaction and the $a_0(980)-f_0(980)$ mixing
• Exploring kaon induced reactions for unraveling the nature of the scalar meson $a_0(1817)$
• Unveiling the $a_0(1710)$ nature in the process $J/\psi \to {\bar{K}}^0{K}^{+}{\rho }^{-}$
• Traces of the new $a_0(1780)$ resonance in the $J/\psi \to \varphi K^{+}{K}^{-}(K^0{\bar{K}}^0)$ reaction
• Inelastic Meson-Meson Scattering in Hadronic Matter
• Amplitude Analysis of the Isospin-Violating Decay $J/\psi \to \gamma \eta {\pi }^0$
• Role of $a_0(1710)$ in the $J/\psi \to {\rho }^{+}{\rho }^{-}\omega$ and $J/\psi \to \gamma {\rho }^0\omega$ reactions