Compatibility of higher rho-resonances with the pion form factor data

A realistic pion form factor model respecting the usual fundamental principles supplemented by reasonable assumptions is constructed by means of conformal mapping having some specific uniformization properties. The model includes the contributions of higher rho-resonances without any conflict with analyticity, provides a certain flexibility for the asymptotic behaviour and just depends on the physical parameters. The best fit of all existing data is achieved with ρ(770), ρ''(1600) and the asymptotics ∼t-3/2. The predicted values of the pion charge radius, P-wave isovector ππ scattering length, as well as the I=J=1 ππ scattering amplitude at the experimental measurable region coincide with the world averaged data. (author)