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

2007/02/12 by Eef van Beveren, van Beveren, Eef, George Rupp +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/0702117

7 pages, 3 figures

arxiv created 2007/02/12 · arxiv updated 2009/12/01

Abstract

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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