Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-05-15
Nucl.Phys. B537 (1999) 459-476; Erratum-ibid. B602 (2001) 641-643
Physics
High Energy Physics
High Energy Physics - Phenomenology
22 pages, 10 figures, LaTeX. Submitted to Nucl. Phys. B
Scientific paper
10.1016/S0550-3213(98)00663-4
We have calculated the KK bar --> KK bar scattering amplitude to next to leading order in Chiral Perturbation Theory. Then, making use of a unitarization procedure with one or several coupled channels (\pi\pi, KK bar in our case) we have calculated the \pi\pi --> \pi\pi, \pi\pi --> KK bar and KK bar --> KK bar S and P waves in good agreement with the experiment up to \sqrt{s}= 1.2 GeV. The \pi\pi 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 Omnes representation, to calculate the scalar and the vector pion form factors, obtaining a good agreement with the available experimental data.
Guerrero Francisco
Oller Jose Antonio
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