On equal constituent quark masses in different heavy quarkonia potential models

1989 ◽  
Vol 43 (2) ◽  
pp. 313-318 ◽  
Author(s):  
K. Lewin ◽  
G. Motz
1988 ◽  
Vol 03 (16) ◽  
pp. 1595-1602 ◽  
Author(s):  
J. PRASCHIFKA ◽  
R.T. CAHILL ◽  
C.D. ROBERTS

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.


2019 ◽  
Vol 199 ◽  
pp. 05011
Author(s):  
Zahra Ghalenovi

In this work we introduce two different potential models for hadronic systems such that the QCD concepts of the quark-quark and quark-antiquark interactions be satisfied. We present the simple methods to solve two- and three-body equation of meson and baryon systems respectively. The introduced models are studied in the relativistic and non-relativistic limits.


1988 ◽  
Vol 03 (01) ◽  
pp. 203-223 ◽  
Author(s):  
B.H.J. MCKELLAR ◽  
M.D. SCADRON ◽  
R.C. WARNER

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.


1998 ◽  
Vol 07 (01) ◽  
pp. 121-138 ◽  
Author(s):  
M. Schleif ◽  
R. Wünsch ◽  
T. Maissner

We study translational and spin-isospin symmetry restoration for the two-flavor chiral quark-loop soliton. Instead of a static soliton at rest we consider a boosted and rotating hedgehog soliton. Corrected classical meson fields are obtained by minimizing a corrected energy functional which has been derived by semi-classical methods (variation after projection). We evaluate corrected meson fields in the region 300 MeV ≤ M≤ 600 MeV of constituent quark masses M and compare them with the uncorrected fields. We study the effect of the corrections on various expectation values of nuclear observables such as the root-mean square radius, the axial-vector coupling constant, magnetic moments and the delta-nucleon mass splitting.


1996 ◽  
Vol 11 (38) ◽  
pp. 3021-3034 ◽  
Author(s):  
H. WEIGEL ◽  
L. GAMBERG ◽  
H. REINHARDT

We study nucleon structure functions within the bosonized Nambu-Jona-Lasinio model where the nucleon emerges as a chiral soliton. As examples we present the unpolarized structure functions for the νp and [Formula: see text] scattering and discuss the Gottfried sum rule in the valence quark approximation. This approximation is justified for moderate constituent quark masses (~ 400 MeV) as the valence quark level dominates the predictions of nucleon properties. We find that these structure functions are well localized in the interval 0≤x Bj ≤1 permitting a parton model interpretation.


2014 ◽  
Vol 29 (38) ◽  
pp. 1450202 ◽  
Author(s):  
V. Borka Jovanović ◽  
D. Borka ◽  
P. Jovanović ◽  
J. Milošević ◽  
S. R. Ignjatović

We apply color-spin and flavor-spin quark–quark interactions to the meson and baryon constituent quarks, and calculate constituent quark masses, as well as the coupling constants of these interactions. The main goal of this paper was to determine constituent quark masses from light and open bottom hadron masses, using the fitting method we have developed and clustering of hadron groups. We use color-spin Fermi–Breit (FB) and flavor-spin Glozman–Riska (GR) hyperfine interaction (HFI) to determine constituent quark masses (especially b quark mass). Another aim was to discern between the FB and GR HFI because our previous findings had indicated that both interactions were satisfactory. Our improved fitting procedure of constituent quark masses showed that on average color-spin (FB) HFI yields better fits. The method also shows the way how the constituent quark masses and the strength of the interaction constants appear in different hadron environments.


1984 ◽  
Vol 154 (2) ◽  
pp. 308-318 ◽  
Author(s):  
Ll. Ametller ◽  
A. Bramon

2004 ◽  
Vol 19 (04) ◽  
pp. 307-315
Author(s):  
JAKUB NARȨBSKI

The perturbative renormalization group for light-front QCD Hamiltonians produces a logarithmically rising inter-quark potential already in second order, when Fock sectors with effective (constituent) gluons are truncated. In this approach the quark self-interaction renders [Formula: see text] states unphysical if they are not color singlets. There is a question if this mechanism solves the problem of too strong color van der Waals forces between heavy quarkonia, which emerge in potential models not directly derivable from QCD. This article shows that such forces do exist in this approach, and estimates their strength with the result that they are on the border of exclusion, while more advanced calculation is possible.


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