Chiral properties of the constituent quark model

Journal Article · Tue Feb 27 04:00:00 EST 2007 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.2714395· OSTI ID:21056832

Lucha, Wolfgang ^[1]; Melikhov, Dmitri ^[1]; Simula, Silvano ^[2]

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1. HEPHY, Austrian Academy of Sciences, Nikolsdorfergasse 18, A-1050 Vienna (Austria)
2. INFN, Sezione di Roma 3, Via della Vasca Navale 84, I-00146, Roma (Italy)

We show that, in a model based exclusively on constituent-quark degrees of freedom interacting via a potential, the full axial current is conserved if the spectrum of Q-barQ states contains a massless pseudoscalar. The current conservation emerges nonperturbatively if the model satisfies certain constraints on (i) the axial coupling gA of the constituent quark and (ii) the Q-barQ potential at large distances. We define the chiral point of the constituent quark model as that set of values of the parameters (such as the masses of the constituent quarks and the couplings in the Q-barQ potential) for which the mass of the lowest pseudoscalar Q-barQ bound state vanishes. At the chiral point the main signatures of the spontaneously broken chiral symmetry are shown to be present, namely: the axial current is conserved, the decay constants of the excited pseudoscalar bound states vanish, and the pion decay constant has a nonzero value.

• OSTI ID: 21056832
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 892; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUND STATE
CHIRAL SYMMETRY
CHIRALITY
COUPLING
DEGREES OF FREEDOM
DISTANCE
PARTICLE DECAY
PIONS
POTENTIALS
QUANTUM CHROMODYNAMICS
QUARK MODEL
QUARK-ANTIQUARK INTERACTIONS
QUARKS
SYMMETRY BREAKING