Pion-pion scattering near threshold in the Resonance-Spectrum Expansion

Details Pion-pion scattering near threshold in the Resonance-Spectrum Expansion Pion-pion scattering near threshold in the Resonance-Spectrum Expansion

2007-02-12

arxiv.org/abs/hep-ph/0702117v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

7 pages, 3 figures

Scientific paper

We study the properties of the Resonance-Spectrum Expansion near threshold in I=0 S-wave pion-pion scattering. The real part of the amplitude, when extrapolated from above threshold to below threshold, is found to vanish at a positive non-zero value of the total invariant mass of the system, in agreement with predictions from perturbative chiral models. In our exact analytic expression, the total amplitude vanishes identically at zero invariant mass.

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