A simple semi-relativistic hypercentral constituent quark model for light baryons

2016 ◽  
Vol 94 (2) ◽  
pp. 236-242 ◽  
Author(s):  
M. Aslanzadeh ◽  
A.A. Rajabi
Keyword(s):  
Constituent Quark ◽  
Exact Analytical Solution ◽  
Average Energy ◽  
Experimental Spectrum ◽  
Constituent Quark Model ◽  
Quadratic Term ◽  
Linear Potential ◽  
Baryon Spectrum ◽  
Relativistic Approach ◽  
Invariant Part

In this work, baryons as a three-body bound system have been investigated in a semi-relativistic approach. Our model, like all constituent quark models, contains a dominant SU(6)-invariant part accounting for the average multiplet energies, and a perturbative SU(6)-violating interaction for the splitting within the multiplets, a structure that is inspired by lattice QCD calculations. Introducing a spin-independent relativistic description for the SU(6)-invariant part of the spectrum, we presented the exact analytical solution of the three-particle Klein–Gordon equation, through which the average energy values of the nonstrange resonances are reproduced. To describe the hyperfine structure of the baryon, the splittings within the SU(6) multiplets are produced by the spin- and isospin-dependent SU(6)-violating interaction, which have been treated as perturbative terms. For the SU(6)-invariant potential, we have added a quadratic term to the popular “Coulombic-plus-linear” potential. The resulting description of the baryon spectrum is comparable with those obtained by other calculations and experimental spectrum.

Relativistic three-body quark model of light baryons based on hypercentral approach

2015 ◽  
Vol 24 (05) ◽  
pp. 1550032 ◽  
Author(s):  
M. Aslanzadeh ◽  
A. A. Rajabi
Keyword(s):  
Quark Model ◽  
Gordon Equation ◽  
Average Energy ◽  
Constituent Quark Model ◽  
Linear Potential ◽  
Model Based ◽  
Klein Gordon ◽  
Three Body ◽  
Hypercentral Approach ◽  
Klein Gordon Equation

In this paper, we have treated the light baryons as a relativistic three-body bound system. Inspired by lattice QCD calculations, we treated baryons as a spin-independent three-quark system within a relativistic three-quark model based on the three-particle Klein–Gordon equation. We presented the analytical solution of three-body Klein–Gordon equation with employing the constituent quark model based on a hypercentral approach through which two- and three-body forces are taken into account. Herewith the average energy values of the up, down and strange quarks containing multiplets are reproduced. To describe the hyperfine structure of the baryon, the splittings within the SU(6)-multiplets are produced by the generalized Gürsey Radicati mass formula. The considered SU(6)-invariant potential is popular "Coulomb-plus-linear" potential and the strange and non-strange baryons spectra are in general well reproduced.

SPECTRUM OF BARYONS AND SPIN–ISOSPIN DEPENDENCE

2008 ◽  
Vol 23 (07) ◽  
pp. 527-537 ◽  
Author(s):  
H. HASSANABADI ◽  
A. A. RAJABI ◽  
S. ZARRINKAMAR
Keyword(s):  
Hyperfine Interaction ◽  
Quark Model ◽  
Constituent Quark ◽  
Constituent Quark Model ◽  
Baryon Spectrum ◽  
Goldstone Bosons ◽  
Dependent Part ◽  
Quark Potential ◽  
Baryon Spectroscopy ◽  
Isospin Dependence

The constituent quark model (CQM) has recently been widely used for the description of the internal structure of baryons. The baryon spectrum is usually well described, although various models are quite different. However, the study of baryon spectroscopy is not sufficient to distinguish among the various forms of quark dynamics. It would be interesting to consider the effect of an extra residual interaction among the quarks, which contains a dependence on isospin (or flavor). In the chiral constituent quark model the non-confining part of the potential is provided by the interaction with the Goldstone bosons, giving rise to a spin- and isospin-dependent part which is crucial for the description of the spectrum for energies lower than 1.7 GeV. In this work we have introduced an improved form of the hyperfine interaction and isospin dependent quark potential. The resulting description of the baryon spectrum was found to be satisfactory and we not only have included confinement potential at large separations, but also color charge and non-confining hyperfine interaction potentials. This combination of potentials yields spectra which are very close to the ones obtained in experiments.

POSSIBLE MOLECULAR STRUCTURES IN THE HEAVY BARYON SPECTRUM

2014 ◽  
Vol 26 ◽  
pp. 1460123
Author(s):  
D. R. ENTEM ◽  
P. G. ORTEGA ◽  
F. FERNÁNDEZ
Keyword(s):  
Experimental Data ◽  
Bound States ◽  
Constituent Quark ◽  
Heavy Baryon ◽  
Bound State ◽  
Constituent Quark Model ◽  
Molecular Structures ◽  
Baryon Spectrum ◽  
Small Binding Energy ◽  
Bottom Baryon

We use a chiral constituent quark model to study possible molecular structures in the heavy baryon spectrum. We first analyze D*N states and we find a bound state in the JP = 3/2- sector with an small binding energy. This state can be identified with the Λc(2940)+. The decays of this state are compatible with the existent experimental data. As a by product a state is predicted in the bottom baryon spectrum as a [Formula: see text] state with a mass around 6250 MeV. Moreover we also analyze other DN, D*N, DΔ and D*Δ states and their analogs in the bottom baryon sector finding several bound states.

scholarly journals Ω baryon spectrum and their decays in a constituent quark model

2020 ◽  
Vol 101 (1) ◽  
Author(s):  
Ming-Sheng Liu ◽  
Kai-Lei Wang ◽  
Qi-Fang Lü ◽  
Xian-Hui Zhong
Keyword(s):  
Quark Model ◽  
Constituent Quark ◽  
Constituent Quark Model ◽  
Baryon Spectrum

Spectroscopy of light baryons in a semi-relativistic constituent three-quark model

2017 ◽  
Vol 26 (07) ◽  
pp. 1750042 ◽  
Author(s):  
M. Aslanzadeh ◽  
A. A. Rajabi
Keyword(s):  
Quark Model ◽  
Energy Levels ◽  
Average Energy ◽  
Experimental Spectrum ◽  
Baryon Spectrum ◽  
Quark System ◽  
Analytical Formulas ◽  
Baryon Spectroscopy ◽  
Invariant Interaction ◽  
Breaking Term

We studied the non-strange baryon spectroscopy by presenting a simple semi-relativistic constituent three-quark model. Assuming a separation of the interaction potential in terms of a leading SU(6) symmetric component and a subleading SU(6) breaking term, we treated the baryons as a spin-independent three-quark system and presented the analytical solution for the problem. Using perturbative and approximative approaches in order to deal with problematic linear confining term in SU(6)-invariant interaction, we obtained analytical formulas for energy levels and the hyperradial wave functions and the average energy values of the nonstrange resonances are reproduced. To describe the hyperfine structure of the baryon, the splittings within the SU(6)-multiplets are produced by the perturbative spin- and isospin-dependent terms. The resulting description of the baryon spectrum for both approaches are given and compared with the experimental spectrum.

LIGHT BARYON SPECTRUM IN A CHIRAL QUARK MODEL

1999 ◽  
Vol 08 (02) ◽  
pp. 159-166 ◽  
Author(s):  
HONG CHEN ◽  
JIANJUN YANG
Keyword(s):  
Quark Model ◽  
Constituent Quark ◽  
Energy Levels ◽  
Constituent Quark Model ◽  
Meson Exchange ◽  
Chiral Quark Model ◽  
Baryon Spectrum ◽  
Light Baryon

The contribution due to the chiral meson exchange to the energy levels of the light baryons is studied in the constituent quark model. The effects of different dynamical ingredients are discussed and the results with and without the chiral meson exchange are compared. Our calculation accommodates all confirmed states and indicates that the chiral meson exchange is indeed necessary to resolve some outstanding problems.

Baryon spectrum in the chiral constituent quark model

2001 ◽  
Vol 63 (3) ◽  
Author(s):  
H. Garcilazo ◽  
A. Valcarce ◽  
F. Fernández
Keyword(s):  
Quark Model ◽  
Constituent Quark ◽  
Constituent Quark Model ◽  
Baryon Spectrum

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

THE NLO QCD CALCULATION OF SEA QUARK DISTRIBUTIONS IN THE CORGI APPROACH, BASED ON THE CONSTITUENT QUARK MODEL

2007 ◽  
Vol 22 (24) ◽  
pp. 4519-4535 ◽  
Author(s):  
A. MIRJALILI ◽  
K. KESHAVARZIAN
Keyword(s):  
Quark Model ◽  
Mellin Transform ◽  
Constituent Quark ◽  
Constituent Quark Model ◽  
Standard Approach ◽  
Unknown Parameters ◽  
Electron Positron Annihilation ◽  
Electron Positron ◽  
Physical Scale ◽  
Good Agreement

Sea quark distributions in the NLO approximation, based on the phenomenological valon model or constituent quark model are analyzed. We use the parametrized inverse Mellin transform technique to perform a direct fit with available experimental data and obtain the unknown parameters of the distributions. We try to extend the calculation to the NLO approximation for the singlet and nonsinglet cases in DIS phenomena. We do also the same calculation for electron–positron annihilation. The resulting sea distributions are effectively independent of the process used. The approach of complete RG improvement (CORGI) is employed and the results are compared with the standard approach of perturbative QCD in the [Formula: see text] scheme with a physical scale. The comparisons with data are in good agreement. As is expected, the results in the CORGI approach indicate a better agreement to the data than the NLO calculation in the standard approach.

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