Two model-independent results for the momentum dependence of ϱ-ω mixing

1995/06/28 by Kim Maltman · 2 citations
Physics and Astronomy · #Charge (physics) #High-Energy Particle Collisions Research #Isospin #Mathematical physics #Meson #Mixing (physics) #Momentum (technical analysis) #Nuclear physics research studies #Nucleon #Omega #Particle physics #Physics #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Rho meson #Symmetry breaking #Unitarity #Vector meson #nucl-th

paper · pdf · doi:10.1016/0370-2693(95)01208-8

published as Phys.Lett. B362 (1995) 11-16 · 14 pages, uses REVTEX Entire manuscript available as a ps file at http://www.physics.adelaide.edu.au/theory/home.html Also available via anonymous ftp at ftp://adelphi.adelaide.edu.au/pub/theory/ADP-95-35.T189.ps

arxiv created 1995/06/28 · openalex publication_date 1995/11/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Two model-independent results on the momentum-dependence of ρ-ω mixing are described. First, an explicit choice of interpolating fields for the vector mesons is displayed for which both the mixing in the propagator and the isospin-breaking at the nucleon-vector meson vertices (and hence also the one-vector-meson-exchange contribution to NN charge symmetry breaking) vanish identically at q²=0. Second, it is shown, using the constraints of unitarity and analyticity on the spectral function of the vector meson propagator, that there is no possible choice of interpolating fields for the ρ⁰, ω⁰ mesons such that, with the ρω element of the propagator defined by Δ^ρω_μν(q²)= (g_μν-q_μq_ν/q²)θ(q²)/(q²-m²_ρ)(q²- m²_ω), θ(q²) is independent of momentum. It follows that the standard treatment of charge symmetry breaking in few-body systems cannot be interpreted as arising from any realizable effective meson-baryon Lagrangian and must, therefore, be considered purely phenomenological in content.

Citations

• Charge symmetry breaking via ϱω mixing from model quark-gluon dynamics
• q2-dependence of meson mixing in few-body charge symmetry breaking. π0-η mixing to one loop in chiral perturbation theory
• Constraints on the momentum dependence of rho-omega mixing
• Compton scattering by a pion and off-shell effects
• Quantum Field Theories with Composite Particles and Asymptotic Conditions
• Off-shell ρ-ω mixing in QCD sum rules
• Momentum dependence of the ρ-ω mixing amplitude in a hadronic model

Cited by

• ϱ - ω mixing via QCD sum rules with finite mesonic widths
• Matter induced ϱ - ω mixing