1994/09/30 by M. R. Pennington, J. Portoles · 1 citation
Physics and Astronomy · #hep-ph
paper · pdf · doi:10.1016/0370-2693(94)01551-m
published as Phys.Lett. B344 (1995) 399-406 · Plain LaTeX file, 13 pages, 3 figures not included (available from the Authors under request). A comparison of our procedure with Chiral Perturbation Theory has been included. Results have not changed. Accepted for publication in Phys. Lett. B
arxiv created 1994/11/28 · arxiv updated 2009/11/30
The all--important consequence of Chiral Dynamics for ππ scattering is the Adler zero, which forces ππ amplitudes to grow asymptotically. The continuation of this subthreshold zero into the physical regions requires a P--wave resonance, to be identified with the ρ. It is a feature of ππ scattering that convergent dispersive integrals for the I=1 channel are essentially saturated by the ρ--resonance and are much larger than those with I=2 quantum numbers. These facts predict the parameters ℓ1, ℓ2 of the Gasser--Leutwyler Chiral Lagrangian, as well as reproducing the well--known KSFR relation and self-consistently generating the ρ-resonance.