Axial coupling from matching a constituent quark model to QCD

2008/05/19 by S. S. Afonin · 1 citation
Mathematics · Physics and Astronomy · #Approx #Black Holes and Theoretical Physics #Computer science #Coupling (piping) #Geometry #Limit (mathematics) #Matching (statistics) #Mathematical analysis #Mathematical physics #Mathematics #Operator (biology) #Operator product expansion #Particle physics #Particle physics theoretical and experimental studies #Physics #Product (mathematics) #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quark #Quark model #Quarkonium #Statistics #hep-ph

paper · pdf · doi:10.1103/physrevc.77.058201

published in Physical Review C 77(5) (American Institute of Physics) · 4 pages, accepted for publication as a Brief Report in Physical Review C

arxiv created 2008/05/19 · openalex publication_date 2008/05/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The axial-vector coupling g_A of a constituent quark is estimated from matching the constituent quark model to the operator product expansion in QCD in the limit of large number of colors under some assumptions. The obtained relation is g_A\ensuremath≃√(7/11)\ensuremath≈0.80, which is in agreement with the existing model estimates.

Citations

• Chiral perturbation theory to one loop
• Chiral perturbation theory: Expansions in the mass of the strange quark
• A planar diagram theory for strong interactions
• Nc-counting rules and the axial vector coupling constant of the constituent quark
• Review of Particle Physics