A Critical Examination to the Unitarized ππ Scattering Chiral Amplitudes
Abstract
We discuss the Pad\'e approximation to the ππ scattering amplitudes in 1--loop chiral perturbation theory. The approximation restores unitarity and can reproduce the correct resonance poles, but the approximation violates crossing symmetry and produce spurious poles on the complex s plane and therefore plagues its predictions on physical quantities at quantitative level. However we find that one virtual state in the IJ=20 channel may have physical relevance.
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