Momentum dependence of the ρ-ω mixing amplitude in a hadronic model

1993/01/04 by J. Piekarewicz, Anthony G. Williams, A. G. Williams · 6 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #nucl-th

paper · pdf · doi:10.1103/physrevc.47.r2462

published as Phys.Rev.C47:2462-2466,1993 · 11 pages, SCRI-122192

arxiv created 1993/01/04 · openalex publication_date 1993/06/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We calculate the momentum dependence of the \ensuremathρ-\ensuremathω mixing amplitude in a purely hadronic model. The basic assumption of the model is that the mixing amplitude is generated by NN\ifmmode\else\textasciimacron\fi loops and thus driven entirely by the neutron-proton mass difference. The value of the amplitude at the \ensuremathω-meson point is expressed in terms of only the NN\ensuremathω and NN\ensuremathρ coupling constants. Using values for these couplings constrained by empirical two-nucleon data we obtain a value for the mixing amplitude in agreement with experiment. Extending these results to the spacelike region, we find a \ensuremathρ-\ensuremathω contribution to the NN interaction that is strongly suppressed and opposite in sign relative to the conventional contribution obtained from using the constant on-shell value for the mixing amplitude.

Cited by

• Charge symmetry breaking of the nucleon-nucleon interaction: ρ-ω mixing versus nucleon mass splitting
• Self-consistent description of finite nuclei based on a relativistic quark model
• Charge Symmetry Breaking and QCD
• Modern nucleon–nucleon interactions and charge-symmetry breaking in nuclei
• Constraints on the momentum dependence of rho-omega mixing
• Isospin breaking andω→π+π−decay