A Critical Examination to the Unitarized $ππ$ Scattering Chiral Amplitudes

Details A Critical Examination to the Unitarized $ππ$ Scattering Chiral Amplitudes A Critical Examination to the Unitarized $ππ$ Scattering Chiral Amplitudes

2001-09-02

arxiv.org/abs/hep-ph/0109012v1

Commun.Theor.Phys. 36 (2001) 563-568

Physics

High Energy Physics

High Energy Physics - Phenomenology

13 pages + 4 eps figures submit to Commun. Theor. Phys

Scientific paper

We discuss the Pad\'e approximation to the $\pi\pi$ 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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