2007/05/31 by Diogo Boito, D. R. Boito, M. R. Robilotta
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.1103/physrevd.76.094011
published as Phys.Rev.D76:094011,2007 · 10 pages, 4 figures. Minor changes, references added, version to appear in Phys. Rev. D
arxiv created 2007/10/08 · openalex publication_date 2007/11/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Scattering and production amplitudes involving scalar resonances are known, according to Watson's theorem, to share the same phase \ensuremathδ(s). We show that, at low energies, the production amplitude is fully determined by the combination of \ensuremathδ(s) with another phase \ensuremathω(s), which describes intermediate two-meson propagation and is theoretically unambiguous. Our main result is a simple and almost model independent expression, which generalizes the usual K-matrix unitarization procedure and is suited to be used in analyses of production data involving scalar resonances.