2008/01/12 by D. V. Bugg, D.V. Bugg · 4 citations
Mathematics · Physics and Astronomy · #Computer science #Conjecture #Economics #Elastic scattering #Extension (predicate logic) #High-Energy Particle Collisions Research #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Phase (matter) #Physics #Production (economics) #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Relation (database) #Resonance (particle physics) #Scattering #Unitarity #hep-ex
paper · pdf · doi:10.1140/epjc/s10052-007-0515-0
published in The European Physical Journal C 54(1), 73-87 (Springer Science+Business Media) · 24 pages, 12 figures. To be published in Euro. Phys. J C
arxiv created 2008/01/12 · openalex publication_date 2008/01/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In production processes, e.g. J/Ψ→ωππ or p̄p→3π, the σ and f 0 (980) overlap in the same partial wave. The conjecture of extended unitarity (EU) states that the ππ pair should have the same phase variation as ππ elastic scattering. This is an extension of Watson’s theorem beyond its original derivation, which stated only that the s-dependence of a single resonance should be universal. The prediction of EU is that the deep dip observed in ππ elastic scattering close to 1 GeV should also appear in production data. Four sets of data disagree with this prediction. All require different relative magnitudes of σ and f 0 (980). That being so, a fresh conjecture is to rewrite the 2-body unitarity relation for production in terms of observed magnitudes. This leads to a prediction different to EU. Central production data from the AFS experiment fit naturally to this hypothesis.