The Linear Sigma Model at Work: Succesful Postdictions for Pion Scattering

Details The Linear Sigma Model at Work: Succesful Postdictions for Pion Scattering The Linear Sigma Model at Work: Succesful Postdictions for Pion Scattering

1999-03-20

arxiv.org/abs/hep-ph/9903420v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

Scientific paper

We enforce chiral Ward identities on the vertices of the linear sigma model to take into account the width of the scalar sigma, considered as a true physical resonance. We consider pion scattering at very low energies and, from a fit to the measured phase shifts in the various angular momentum and isospin channels, conclude a mass for the sigma of 600+200-100 MeV. Its width turns out to be of the same size.

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