Search for $a_0(980)$ and $f_0(980)$ mesons in $\varphi \to \gamma K\bar{K}$

Abstract

We study the decay $\varphi \to \gamma K^{+}{K}^{-}$ taking into account the scalar mesons production $\varphi \to \gamma (f_0+a_0)\to \gamma K^{+}{K}^{-}$ and the final state radiation. We note that the relative sign between the final state radiation amplitude and the scalar meson production amplitude is fixed in the $K^{+}{K}^{-}$ loop model which describes data on the $\varphi \to \gamma f_0\to \gamma \pi \pi$ and $\varphi \to \gamma a_0\to \gamma \pi \eta$ decays. As consequence this model predicts the definite interference between the final state radiation and the scalar resonance production amplitudes. We calculate the mass spectra of the $\varphi \to \gamma K^{+}{K}^{-}$ decay and the differential cross-sections for $e^{+}{e}^{-}\to \varphi \to \gamma K^{+}{K}^{-}$ and for $e^{+}{e}^{-}\to \varphi \to \gamma K^0{\bar{K}}^0$ reactions.

typos removed

References in corpus (2)

• Analysis of the nature of the $\varphi \to \gamma \pi \eta$ and $\varphi \to \gamma {\pi }^0{\pi }^0$ decays
• Analysis of the nature of the $\varphi \to \gamma \pi \eta$ and $\varphi \to \gamma {\pi }^0{\pi }^0$ decays

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• Properties of the light scalar mesons face the experimental data on the $\varphi \to {\pi }^0{\pi }^0\gamma$ decay and the $\pi \pi$ scattering
• Radiative decays of ϕ-meson and nature of light scalar resonances
• The analytical $\pi \pi$ scattering amplitude and the light scalars
• Prospects for e+e- physics at Frascati between the phi and the psi
• $B\to f_0(980)K^{(\ast )}$ decays and final state interactions
• Scalar and vector meson exchange in V->P0P0gamma decays
• Strong isospin symmetry breaking in light scalar meson production
• Radiative decays of phi-meson about nature of light scalar resonances
• The phi->K0K0gamma decay
• Scalar mesons in radiative ϕ\to K^0\bar{K}^0γdecay
• Strong interaction between kaons in the reactions e+ e- --> K+ K- gamma and e+ e- --> K0 K0bar gamma
• Near threshold kaon-kaon interaction in the reactions e+ e- --> K+ K- gamma and e+ e- --> K0 K0bar gamma