Chiral QCD, general QCD parametrization, and constituent quark models

2002/11/30 by G. Dillon, G. Morpurgo · 2 citations
Physics and Astronomy · #Baryon #Black Holes and Theoretical Physics #Chiral perturbation theory #Magnetic moment #Octet #Parametrization (atmospheric modeling) #Particle physics #Particle physics theoretical and experimental studies #Physics #QCD sum rules #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #Sum rule in quantum mechanics #hep-ph

paper · pdf · doi:10.1103/physrevd.68.014001

published as Phys.Rev. D68 (2003) 014001 · 10 pages, Latex; abridged version (same results), removed some references

arxiv created 2003/03/11 · openalex publication_date 2003/07/02 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Several recent papers, using effective QCD chiral Lagrangians, reproduced results obtained with the general QCD parametrization (GP). These include the baryon 8+10 mass formula, the octet magnetic moments and the coincidental nature of the ``perfect'' (\ensuremathμ_p/\ensuremathμ_n)=\ensuremath-(3/2) ratio. Although we anticipated that the GP covers the case of chiral treatments, the above results explicitly exemplify this fact. Also we show by the GP that, in any model or theory (chiral or nonchiral) reproducing the results of QCD, the Franklin (Coleman-Glashow) sum rule for the octet magnetic moments must be violated.

Citations

• Simple quark model with chiral phenomenology
• On the miracle of the Coleman–Glashow and other baryon mass formulas

Cited by

• Baryon octet magnetic moments to all orders in flavor breaking: An application to the problem of the strangeness in the nucleon
• Electromagnetic corrections to baryon masses