Strong interaction between kaons in the reactions $e^+e^- \to K^+K^- \gamma$ and $e^+ e^- \to K^0 \bar K^0 \gamma$

A theoretical model of the reactions e(+)e(-) -> K+ K-gamma and e(+)e(-) -> K-0(K) over bar (0)gamma as been derived. The strong interaction between kaons is taken into account using a general form of the K (K) over bar scattering amplitude. It is shown that some models formulated in the past are particular cases of the present approach. The formulas for the K (K) over bar effective mass dependence of the differential cross section as well as for the angular kaon and photon distributions and for the branching fractions of the phi(1020) -> K+K-gamma and phi(1020) K-0(K) over bar (0)gamma decays have been obtained. We present numerical results for the functions entering into transition amplitudes, K (K) over bar effective mass distributions, total cross sections, and branching fractions. Finally, the model is generalized to treat other reactions with two pseudoscalar mesons accompanying a photon in the final state.