2008/05/19 by M. Schumacher, Martin Schumacher, Schumacher, Martin
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.48550/arxiv.0805.2823
arxiv created 2008/05/19 · openalex publication_date 2008/05/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Goldberger-Treiman relation M=2π/√(3)f\rm clπ where M is the constituent quark mass in the chiral limit (cl) and f\rm clπ the pion decay constant in the chiral limit predicts constituent quark masses of mu=328.8± 1.1 MeV and md=332.3± 1.1 MeV for the up and down quark, respectively, when f\rm clπ=89.8± 0.3 MeV is adopted. Treating the constituent quarks as bare Dirac particles the following zero order values μ(0)p=2.850± 0.009 and μ(0)n= -1.889± 0.006 are obtained for the proton and neutron magnetic moments, leading to deviations from the experimental data of 2.0% and 1.3%, respectively. These unavoidable deviations are discussed in terms of contributions to the magnetic moments proposed in previous work.