Investigation of $J/\psi \to \gamma {\pi }^0\eta ({\pi }^{+}{\pi }^{-},{\pi }^0{\pi }^0)$ radiative decays including final-state interactions

Abstract

We revisit the coupled channel $K\bar{K}$ interactions and dynamically generate the resonances $f_0(980)$ and $a_0(980)$ within both the isospin and the physical bases. The $f_0(980)-a_0(980)$ mixing effects are generated in the scattering amplitudes of the coupled channels with the physical basis, which exploits the important role of the $K\bar{K}$ channel in the dynamical nature of these resonances. With the scattering amplitudes obtained, we investigate the $f_0(980)$ and $a_0(980)$ contributions to the $J/\psi \to \gamma \eta {\pi }^0$, $J/\psi \to \gamma {\pi }^{+}{\pi }^{-}$ and $J/\psi \to \gamma {\pi }^0{\pi }^0$ radiative decays through the final-state interactions. We obtain the corresponding branching fractions $Br(J/\psi \to \gamma a_0(980)\to \gamma \eta {\pi }^0)=(0.47\pm 0.05)\times 10^{-7}$, $Br(J/\psi \to \gamma f_0(980)\to \gamma {\pi }^{+}{\pi }^{-})=0.37\times 10^{-7}-1.98\times 10^{-6}$, $Br(J/\psi \to \gamma f_0(980)\to \gamma {\pi }^0{\pi }^0)=0.18\times 10^{-7}-9.92\times 10^{-7}$, and predict $Br(J/\psi \to \gamma a_0(980))=1.72\times 10^{-8}-3.07\times 10^{-7}$ and $Br(J/\psi \to \gamma f_0(980))=1.86\times 10^{-8}-1.89\times 10^{-5}$. These fractions are within the upper limits of the experimental measurements.

References in corpus (12)

• Multiquark Resonances
• Exotics: Heavy Pentaquarks and Tetraquarks
• Nature of the f_0(600) from its N_c dependence at two loops in unitarized Chiral Perturbation Theory
• Identification of a Scalar Glueball
• Interplay of quark and meson degrees of freedom in a near-threshold resonance
• Chiral extrapolation of light resonances from one and two-loop unitarized Chiral Perturbation Theory versus lattice results
• $f_1(1285)$ decays into $a_0(980){\pi }^0$, $f_0(980){\pi }^0$ and isospin breaking
• Possibility of measuring a0(980)-f0(980) mixing from J/psi -> phi a0
• Investigation of a0-f0 mixing
• Chiral study of the $a_0(980)$ resonance and $\pi \eta$ scattering phase shifts in light of a recent lattice simulation
• Study a0(980)-f0(980) mixing from a0(980) -> f0(980) transition
• $a_0(980)-f_0(980)$ mixing in ${\chi }_{c1}\to {\pi }^0{f}_0(980)\to {\pi }^0{\pi }^{+}{\pi }^{-}$ and ${\chi }_{c1}\to {\pi }^0{a}_0(980)\to {\pi }^0{\pi }^0\eta$

Cited by in corpus (7)

• Study the molecular nature of $\sigma$, $f_0(980)$, and $a_0(980)$ states
• Evidence of the four-quark nature of $f_0(980)$ and $f_0(500)$
• The $a_0(980)$ in the single Cabibbo-suppressed process ${\Lambda }_c\to {\pi }^0\eta p$
• Quark-antiquark states of the lightest scalar mesons within the Nambu-Jona-Lasinio model with flavor-dependent coupling constants
• ${\mathrm{f}}_0(980)$ production in inelastic pp collisions at $\sqrt{s}=5.02$ TeV
• Study $B_{(s)}^0$ decays into $\varphi$ and a scalar or vector meson
• Amplitude Analysis of the Isospin-Violating Decay $J/\psi \to \gamma \eta {\pi }^0$