scholarly journals RESUMMATION STUDY ON VECTOR MESON DECAYS AND CHIRAL SYMMETRY SPONTANEOUSLY BREAKING IN CHIRAL CONSTITUENT QUARK MODEL

2004 ◽  
Vol 19 (01) ◽  
pp. 81-114
Author(s):  
YI-BIN HUANG ◽  
MU-LIN YAN ◽  
XIAO-JUN WANG
Keyword(s):  
Vector Meson ◽  
Quark Model ◽  
Chiral Symmetry ◽  
Constituent Quark ◽  
Constituent Quark Model ◽  
Energy Scale ◽  
Meson Theory ◽  
Upper Limit ◽  
Light Vector ◽  
Proper Vertex

We study on-shell decays of light vector meson resonances ρ, K* and ϕ in the framework of chiral constituent quark model using resummation calculations. Such studies are necessary for showing that dynamics described by chiral Lagrangian works well at this energy scale. The effective action is derived by a proper vertex method, where resummation of all orders of momentum expansion is accomplished. Also studied are the loop effects of pseudoscalar meson, which play an important role at this energy scale. The numerical results agree well with the experimental data. A new method to explore the chiral symmetry spontaneously breaking (CSSB) is proposed. It is found that the unitarity of the effective meson theory resulted from resummation derivations demands an upper-limit to the momentum of vector meson. This upper-limit, being critical point, is just the energy scale of CSSB, and is found to be flavor-dependent.

NONPERTURBATIVE QCD, THE CONSTITUENT QUARK MODEL AND CONFINEMENT

1988 ◽  
Vol 03 (01) ◽  
pp. 203-223 ◽  
Author(s):  
B.H.J. MCKELLAR ◽  
M.D. SCADRON ◽  
R.C. WARNER
Keyword(s):  
Quark Model ◽  
Chiral Symmetry ◽  
Constituent Quark ◽  
Chiral Symmetry Breaking ◽  
Constituent Quark Model ◽  
The Other ◽  
Hadron Structure ◽  
Potential Models ◽  
Dynamical Breaking ◽  
Quark Models

There are currently two major QCD-inspired quark models for hadrons. Nonrelativistic potential models and ultrarelativistic bag models have both had their successes. In this paper we present the case for an alternative quark picture, emphasizing the nonperturbative dynamical breaking of chiral symmetry in QCD. The relativistic constituent quark model which emerges recovers the main results of the other approaches, and also holds better prospects for the calculation of relativistic phenomena, and for the eventual understanding of the interrelations between chiral-symmetry breaking, hadron structure and confinement.

EFFECTIVE DEGREES OF FREEDOM IN LOW-ENERGY QUANTUM CHROMODYNAMICS

2013 ◽  
Vol 28 (26) ◽  
pp. 1360022 ◽  
Author(s):  
WILLIBALD PLESSAS
Keyword(s):  
Quantum Mechanics ◽  
Quantum Chromodynamics ◽  
Quark Model ◽  
Chiral Symmetry ◽  
Degrees Of Freedom ◽  
Constituent Quark ◽  
Mass Operator ◽  
Constituent Quark Model ◽  
Low Energy ◽  
Energy Quantum

Confinement and spontaneous breaking of chiral symmetry are assumed to generate the governing degrees of freedom of low-energy quantum chromodynamics. On this basis a relativistic constituent-quark model is constructed and formulated along an invariant mass operator within Poincaré-invariant quantum mechanics. The model is effectively applied to the spectroscopy of all known baryons of flavors u, d, s, c and b. The mass-operator eigenstates are furthermore tested with regard to the baryon electromagnetic and axial form factors. Through using the point form of relativistic quantum mechanics, these observables are obtained in a manifestly covariant manner. For all light and strange baryon ground states the electroweak structures are reproduced either in good agreement with phenomenology or, if no experimental data exist, in consistency with results available from lattice quantum chromodynamics. It is concluded that the relativistic constituent-quark model, relying on {QQQ} Fock states only, provides a universal framework for the description of low-energy baryons. The most important ingredients are spontaneous chiral-symmetry breaking and strict relativistic invariance.

scholarly journals THE ELECTRIC AND MAGNETIC FORM FACTORS OF THE NEUTRON

1993 ◽  
Vol 08 (22) ◽  
pp. 2135-2140 ◽  
Author(s):  
FELIX SCHLUMPF
Keyword(s):  
Wave Function ◽  
Vector Meson ◽  
Quark Model ◽  
Constituent Quark ◽  
Sum Rules ◽  
Form Factors ◽  
Constituent Quark Model ◽  
Specific Form ◽  
Vector Meson Dominance ◽  
Magnetic Form Factors

We derive the electric and magnetic form factors of the neutron in the framework of a relativistic constituent quark model. Our parameter free prediction agrees well with a recent, accurate measurement. The relativistic features of the model and the specific form of the wave function are essential for the result. Comparisons are made to other models based on vector meson dominance, perturbative QCD and QCD sum rules.

scholarly journals Historical Introduction to Chiral Quark Models

Symmetry ◽  
2021 ◽  
Vol 13 (2) ◽  
pp. 252
Author(s):  
Francisco Fernández ◽  
Jorge Segovia
Keyword(s):  
Quark Model ◽  
Chiral Symmetry ◽  
Constituent Quark ◽  
Chiral Symmetry Breaking ◽  
Constituent Quark Model ◽  
Special Issue ◽  
Bag Model ◽  
Breaking Mechanism ◽  
Dynamical Breaking ◽  
Quark Models

Chiral symmetry, and its dynamical breaking, has become a cornerstone in the description of the hadron’s phenomenology at low energy. The present manuscript gives a historical survey on how the quark model of hadrons has been implemented along the last decades trying to incorporate, among other important non-perturbative features of quantum chromodynamics (QCD), the dynamical chiral symmetry breaking mechanism. This effort has delivered different models such as the chiral bag model, the cloudy bag model, the chiral quark model or the chiral constituent quark model. Our main aim herein is to provide a brief introduction of the Special Issue “Advances in Chiral Quark Models” in Symmetry and contribute to the clarification of the differences among the above-mentioned models that include the adjective chiral in their nomenclature.

scholarly journals Low-lying configurations in a non-relativistic constituent quark model

2007 ◽  
Vol 34 (7) ◽  
pp. 1771-1782 ◽  
Author(s):  
W L Wang ◽  
F Huang ◽  
Z Y Zhang ◽  
Y W Yu ◽  
F Liu
Keyword(s):  
Quark Model ◽  
Constituent Quark ◽  
Constituent Quark Model
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