2001/10/30 by Isabela P. Cavalcante, Isabela P Cavalcante, J. Sá Borges +1 · 2 citations
Physics and Astronomy · #Amplitude #Chiral perturbation theory #Crossing #High-Energy Particle Collisions Research #Nuclear physics research studies #Perturbation theory (quantum mechanics) #Quantum Chromodynamics and Particle Interactions #Resonance (particle physics) #Scattering amplitude #Symmetry (geometry) #Unitarity #hep-ph
paper · pdf · doi:10.1088/0954-3899/28/6/315
published as J.Phys.G28:1351-1358,2002 · 6 pages, 4 figures
arxiv created 2001/10/30 · openalex publication_date 2002/04/22 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Pion–pion scattering amplitude obtained from one-loop chiral perturbation theory (ChPT) is crossing symmetric, however, the corresponding partial wave amplitudes do not respect exact unitarity relation. There are different approaches to get unitarized partial wave amplitudes from ChPT. Here we consider the inverse amplitude method (IAM) that is often used to fit pion–pion phase shifts to experimental data. We measure the amount of crossing symmetry violation (CSV) in this case and we show that crossing symmetry is badly violated by the IAM unitarized ChPT amplitude in the resonance region. Important CSV also occurs when all free parameters are set equal to zero.