2003/10/31 by P. Büttiker, S. Descotes-Genon, B. Moussallam · 7 citations
Physics and Astronomy · #Amplitude #High-Energy Particle Collisions Research #Multiplicity (mathematics) #Particle physics theoretical and experimental studies #Perturbation theory (quantum mechanics) #Quantum Chromodynamics and Particle Interactions #Range (aeronautics) #Scattering #Scattering amplitude #Set (abstract data type) #hep-ph
paper · pdf · doi:10.1140/epjc/s2004-01591-1
published as Eur.Phys.J.C33:409-432,2004 · 45 pages, 17 figures. v2: New title, minor corrections
arxiv created 2004/01/05 · openalex publication_date 2004/03/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
With the aim of generating new constraints on the OZI suppressed couplings of chiral perturbation theory a set of six equations of the Roy and Steiner type for the S- and P-waves of the πK scattering amplitudes is derived. The range of validity and the multiplicity of the solutions are discussed. Precise numerical solutions are obtained in the range E\lapprox 1 GeV which make use as input, for the first time, of the most accurate experimental data available at E > 1 GeV for both πK→πK and ππ→ KK amplitudes. Our main result is the determination of a narrow allowed region for the two S-wave scattering lengths. Present experimental data below 1 GeV are found to be in generally poor agreement with our results. A set of threshold expansion parameters, as well as sub-threshold parameters are computed. For the latter, matching with the SU(3) chiral expansion at NLO is performed.