Constituent quarks, chiral symmetry, and chiral point of the constituent quark model

2006/06/30 by Wolfgang Lucha, Dmitri Melikhov, Silvano Simula · 1 citation
Physics and Astronomy · #Chiral symmetry #Chiral symmetry breaking #Constituent quark #Coupling constant #High-Energy Particle Collisions Research #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Pseudoscalar #Quantum Chromodynamics and Particle Interactions #Quark #Quark model #Quarkonium #hep-ph

paper · pdf · doi:10.1103/physrevd.74.054004

published as Phys.Rev. D74 (2006) 054004 · 10 pages, typo in eq. (46) of the published version is corrected

openalex publication_date 2006/09/05 · arxiv created 2006/09/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We construct the full axial current of the constituent quarks by a summation of the infinite number of diagrams describing constituent quark soft interactions. By requiring that the conservation of this current is violated only by terms of order O(M_\ensuremathπ²), where M_\ensuremathπ is the mass of the lowest pseudoscalar QQ bound state, we derive important constraints on (i) the axial coupling g_A of the constituent quark and (ii) the QQ potential at large distances. We define the chiral point of the constituent quark model as those values of the parameters, such as the masses of the constituent quarks and the couplings in the QQ potential, for which M_\ensuremathπ vanishes. At the chiral point the main signatures of the spontaneously broken chiral symmetry are shown to be present, namely: the axial current of the constituent quarks is conserved, the leptonic decay constants of the excited pseudoscalar bound states vanish, and the pion decay constant has a nonzero value.

Citations

• SU(6) breaking effects in the nucleon elastic electromagnetic form factors
• Chiral perturbation theory to one loop
• Quark structure of the pion and pion form factor
• Nucleon and pion electromagnetic form factors in a light-front constituent quark model
• Electroproduction of the Roper resonance and the constituent quark model
• Form factors of meson decays in the relativistic constituent quark model
• Quark-hadron duality and hadron properties from correlators of pseudoscalar and axial currents
• Charge form factor ofπandKmesons
• Moment-operator expansion for the two-meson, two-photon and fermion–antifermion states

Cited by

• B, D and K decays