scholarly journals Current mass dependence of the quark condensate and the constituent quark mass

2001 ◽  
Author(s):  
M. Musakhanov
Keyword(s):  
Quark Mass ◽  
Constituent Quark ◽  
Quark Condensate ◽  
Mass Dependence ◽  
Constituent Quark Mass ◽  
Current Mass

CHIRAL QCD GENERATES CONSTITUENT QUARK MASSES

1988 ◽  
Vol 03 (16) ◽  
pp. 1595-1602 ◽  
Author(s):  
J. PRASCHIFKA ◽  
R.T. CAHILL ◽  
C.D. ROBERTS
Keyword(s):  
Form Factor ◽  
Quark Mass ◽  
Constituent Quark ◽  
Bound State ◽  
Variational Technique ◽  
Quark Masses ◽  
Constituent Quark Mass ◽  
Insight Into

Constituent quark masses are shown to arise naturally in an approximation to chiral QCD. The colour [Formula: see text] diquark component of the nucleon is studied using a new variational technique to solve a Bethe-Salpeter equation for this qq bound state in massless QCD. The resultant diquark form factor Γ(q) exhibits a dramatic peaking for (Euclidean) momentum q2≈(0.2 GeV )2 which, we show, signals the generation of a constituent quark mass of ≈270 MeV , and which provides a significant insight into deep inelastic leptonnucleon scattering results.

scholarly journals NJL INTERACTION DERIVED FROM QCD

2006 ◽  
Vol 21 (28n29) ◽  
pp. 5721-5742 ◽  
Author(s):  
B. A. ARBUZOV ◽  
M. K. VOLKOV ◽  
I. V. ZAITSEV
Keyword(s):  
Quark Mass ◽  
Effective Interaction ◽  
Light Quark ◽  
Quark Condensate ◽  
Low Energy ◽  
Meson Mass ◽  
Spontaneous Generation ◽  
Constituent Quark Mass ◽  
Light Quark Mass ◽  
Two Parameters

We apply Bogolubov approach to QCD with two light quarks to demonstrate a spontaneous generation of an effective interaction, leading to the Nambu–Jona-Lasinio model. The resulting theory contains two parameters: average low-energy value of αs and current light quark mass m0. All other low-energy parameters: the pion decay constant, mass of the π-meson, mass of the σ-meson and its width, the constituent quark mass, and the quark condensate are expressed in terms of the two input parameters in satisfactory correspondence to experimental data and chiral phenomenology. For example, in the approximation being used we have for αs = 0.67 and m0 = 20 MeV : fπ = 93 MeV , mπ = 135 MeV , mσ = 492 MeV , Γσ = 574 MeV , mq = 295 MeV , [Formula: see text].

FROM PARTONS TO CONSTITUENT QUARKS

1991 ◽  
Vol 06 (22) ◽  
pp. 3933-3953
Author(s):  
D. INDUMATHI ◽  
M.V.N. MURTHY ◽  
V. RAVINDRAN
Keyword(s):  
Quark Mass ◽  
Constituent Quark ◽  
Mass Parameter ◽  
Equation Of Motion ◽  
Operator Product ◽  
Operator Matrix ◽  
Matrix Elements ◽  
Simple Manner ◽  
Proton Structure ◽  
Constituent Quark Mass

We discuss the moments of the proton structure functions F2(x) and g1(x) via the operator-product formalism. We introduce an effective mass for the quarks through an equation of motion. Making use of this, we show that successive moments of a structure function are related to one another in a simple manner. Specifically, the ratios of successive moments depend only on the square of the mass parameter so introduced, and not on the explicit operator matrix elements themselves. Experimental data on the moments indicate that this mass is around 300 MeV, of the order of the constituent quark mass. We strengthen our results by evaluating the moments in a bag model with massive nonstrange quarks.

Role of constituent quark mass in SM

2008 ◽  
Author(s):  
S. I. Sukhoruchkin ◽  
Sigfrido Boffi ◽  
Claudio Ciofi degli Atti ◽  
Mauro Giannini ◽  
Daniele Treleani
Keyword(s):  
Quark Mass ◽  
Constituent Quark ◽  
Constituent Quark Mass

scholarly journals A Multiquark Approach to Excited Hadrons and Regge Trajectories

2019 ◽  
Vol 2019 ◽  
pp. 1-7 ◽  
Author(s):  
S. S. Afonin
Keyword(s):  
Constituent Quark ◽  
Quark Condensate ◽  
Hadron Spectroscopy ◽  
Model Classification ◽  
Regge Trajectories ◽  
Quantum Numbers ◽  
Novel Approach ◽  
Hadron Mass ◽  
Constituent Quark Mass ◽  
Spin Singlet

We propose a novel approach to construction of hadron spectroscopy. The case of light nonstrange mesons is considered. By assumption, all such mesons above 1 GeV appear due to creation of constituent quark-antiquark pairs inside π or ρ(ω) mesons. These spin-singlet or triplet pairs dictate the quantum numbers of formed resonance. The resulting classification of light mesons turns out to be in a better agreement with the experimental observations than the standard quark model classification. It is argued that the total energy of quark components should be proportional to the hadron mass squared rather than the linear mass. As a byproduct a certain relation expressing the constituent quark mass via the gluon and quark condensate is put forward. We show that our approach leads to an effective mass counting scheme for meson spectrum and results in the linear Regge and radial Regge trajectories by construction. An experimental observation of these trajectories might thus serve as evidence not for string but for multiquark structure of highly excited hadrons.

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