Using our present knowledge on effective hadronic theories, short-distance QCD information, the 1/N C expansion, analyticity and unitarity, we derive an expression for the pion form factor, in terms of m π , m K , M ρ and f π . This parameter-free prediction provides a surprisingly good description of the experimental data up to energies of the order of 1 GeV.
We have calculated the KK → KK scattering amplitude to next to leading order in Chiral Perturbation Theory. Then, making use of a unitarization procedure with one or several coupled channels (ππ,KK in our case) we have calculated the ππ → ππ, ππ → KK and KK → KK S and P waves in good agreement with the experiment up to √ s ≃ 1.2 GeV. The ππ scattering lengths with isospin and spin (I,J) equal to (0,0), (1,1) and (2,0) are also calculated in agreement with experiment and former Chiral Perturbation Theory calculations.Finally we have employed these amplitudes, making use of an Omnès representation, to calculate the scalar and the vector pion form factors, obtaining a good agreement with the available experimental data.
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