Production of scalar $K\bar{K}$ molecules in $\varphi$ radiative decays

Abstract

The potentialities of the production of the scalar $K\bar{K}$ molecules in the $\varphi$ radiative decays are considered beyond the narrow resonance width approximation. It is shown that $BR(\varphi \to \gamma f_0(a_0)\to \gamma \pi \pi (\pi \eta ))\approx (1÷2)\times 10^{-5},\text{BR}(\varphi \to \gamma (f_0+a_0)\to \gamma K^{+}{K}^{-})\text{alt}10^{-6}$ and $BR(\varphi \to \gamma (f_0+a_0)\to \gamma K^0{\bar{K}}^0)\text{alt}10^{-8}$. The mass spectra in the $\pi \pi ,\pi \eta ,K^{+}{K}^{-},K^0{\bar{K}}^0$ channels are calculated. The imaginary part of the amplitude $\varphi \to \gamma f_0(a_0)$ is calculated analytically. It is obtained the phase of the scalar resonance production amplitude that causes the interference patterns in the reaction $e^{+}{e}^{-}\to \gamma {\pi }^{+}{\pi }^{-}$ in the $\varphi$ meson mass region.

Comments: 19 pages, revtex, 4 eps files of figures