Abstract
The phase of the electromagnetic pion form factor G( t) in the asymptotic region ( t > 1 (GeV) 2) is investigated by the dispersion sum-rule method. Using experimental data for G( t) at t < 1 (GeV) 2 we find that the mean weighted value of the asymptotic phase does not show strong deviations from the asymptotic value of the phase coming from an extrapolation of the data from the ϱ-resonance region with the help of the Gounaris-Sakurai formula. The contribution of the hypothetical ϱ-like resonances to the dispersion sum rules is roughly estimated. These estimates and the results of the calculation of the dispersion sum rules show that the existence of strong ϱ-like elastic resonances is forbidden in the 1–1.7 GeV t range at least.
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