How to parameterize a light and broad resonance (the $σ$ meson)

Details How to parameterize a light and broad resonance (the $σ$ meson) How to parameterize a light and broad resonance (the $σ$ meson)

2003-04-17

arxiv.org/abs/hep-ph/0304173v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

A mistaken remark concerning the property of deeply bounded resonances isremoved and corrected

Scientific paper

We point out that a commonly used parameterization form to describe the
$\sigma$ resonance is problematic by introducing a spurious singularity below
two particle threshold, on the second sheet. The spurious singularity violates
chiral symmetry and leads to sizable contribution when the resonance is light
and broad -- as what happens to the $\sigma$ resonance, hence must be removed.

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