Crossing Symmetry Violation in Unitarity Corrected ChPT Pion-Pion Amplitude

Details Crossing Symmetry Violation in Unitarity Corrected ChPT Pion-Pion Amplitude Crossing Symmetry Violation in Unitarity Corrected ChPT Pion-Pion Amplitude

Sep 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001ranp.conf..374c&link_type=abstract

RELATIVISTIC ASPECTS OF NUCLEAR PHYSICS. Proceedings of the Sixth International Workshop. Held 17-20 October 2000 in Caraguatatu

Physics

Nuclear Physics

Scientific paper

Crossing symmetry implies that there is just one amplitude describing the three total isospin channels of pion-pion scattering. One-loop Chiral Perturbation Theory total amplitude fulfills this condition, however the corresponding partial wave amplitudes do not respect exact unitarity relation. The inverse amplitude method (IAM) is usually employed to get unitarized results from ChPT, while violating crossing symmetry.
Using the Roskies relations we measure the amount of crossing symmetry violation when IAM is applied to ChPT in order to fit pion-pion phase-shifts to experimental results in the resonance region.

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