The potentialities of the production of the scalar K (K) over bar mole
cules in the phi radiative decays are considered beyond the narrow res
onance width approximation. It is shown that BR(phi --> gamma f(0)(a(0
)) --> gamma pi pi(pi eta)) approximate to (1 divided by 2) x 10(-5),
BR(phi --> gamma(f(0) + a(0)) --> gamma K+K-)less than or similar to 1
0(-6) and BR(phi --> gamma(f(0) + a(0)) --> gamma KsKs) < 5.10(-8). Th
e mass spectra in the pi pi, pi eta, K+K- channels are calculated. The
imaginary part of the amplitude phi --> gamma f(0)(a(0)) is calculate
d analytically. It is obtained by the phase of the scalar resonance pr
oduction amplitude that causes the interference patterns in the reacti
on e(+)e(-) --> gamma pi(+)pi(-) in the phi meson mass region.