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

High Energy Physics - Phenomenology