Generalized Vector Dominance Model up to 2 GeV

Abstract: The processes $e^+e^-\to \pi^+\pi^-, \omega\pi^0, \eta\pi^+\pi^-, K^+K^-, \pi^+\pi^-\pi^0$ are described simultaneously in the frame of the Generalized Vector Dominance Model (GVDM) allowing model error. The data do not contradict the assumption that the precision of the model we use is not worse than 6\%. This shows that GVDM is an adequate approach to describe processes involving $\rho(770),\omega(787),\phi(1020)$ and their excitations in the energy region below 2 GeV. This work is considered as a first step, next steps should treat more processes and take into account finer effects.