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.

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.

scholarly journals Recent developments in charmed baryon spectroscopy

2018 ◽  
Vol 191 ◽  
pp. 02013
Author(s):  
Elena Solovieva
Keyword(s):  
Quark Model ◽  
Excited States ◽  
Energy Levels ◽  
Ground States ◽  
Charmed Baryons ◽  
Charmed Baryon ◽  
Recent Developments ◽  
Baryon Spectroscopy

An overview of recent developments in charmed baryon spectroscopy is given. The classification of charmed baryons is presented, a quark model for ground states is briefly described, and the energy levels of excited states are analyzed.

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.

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.

scholarly journals The Computation of Energy Levels and Oscillator Strengths of Fe X to Fe XIII Involving the Adjustment of Parameters to Achieve Consistency with Observations

1977 ◽  
Vol 43 ◽  
pp. 41-41a
Author(s):  
B.C. Fawcett ◽  
G.E. Bromage ◽  
R.D. Cowan
Keyword(s):  
Ab Initio ◽  
Configuration Interaction ◽  
Energy Levels ◽  
Average Energy ◽  
Oscillator Strengths ◽  
Spin Orbit ◽  
Adjustment Of Parameters

Energy levels and oscillator strengths are calculated for the 3s23pn–3s23pn–13d transition arrays of Fe X, Fe XI, Fe XII and Fe XIII. The Slater radial integrals for these computations are adjusted so as to become consistent with established energy levels. Pertinent configuration interactions are included and the interaction integrals are reduced by up to 35% from values calculated ab initio, to achieve consistency.Initial theroretical calculations are made using the ab initio Hartree-X, Slater-Condon programme of Cowan (1967, 1968), the second of which now includes configuration interaction. The first programme computes values for the average energy of the configuration Eav, the electrostatic direct integrals Fk and exchange integrals Gk , the spin-orbit parameters ζ, and the configuration interaction integrals Rk. From these the second programme computes energy levels, wavelengths and oscillator strengths for the transition arrays concerned.

IMPROVED STATISTICAL QCD MODEL FOR THE QUARK CONTENT OF THE NUCLEON

2010 ◽  
Vol 19 (08n10) ◽  
pp. 1697-1701 ◽  
Author(s):  
C. MÍREZ ◽  
L. TOMIO ◽  
L. A. TREVISAN ◽  
T. FREDERICO
Keyword(s):  
Quark Model ◽  
Energy Levels ◽  
Structure Functions ◽  
Confining Potential ◽  
Difference Formula ◽  
Quark Content

The neutron-to-proton ratio of the structure functions, [Formula: see text], as well as the corresponding difference [Formula: see text] are obtained within a statistical quark model for the nucleon, where the quark energy levels are given by a central linear confining potential.

scholarly journals New Predictions for Charmed and Bottom Baryons

1997 ◽  
Vol 12 (22) ◽  
pp. 4079-4086 ◽  
Author(s):  
Adam F. Falk
Keyword(s):  
Quark Model ◽  
Constituent Quark ◽  
Heavy Baryon ◽  
Constituent Quark Model ◽  
Recent Proposal ◽  
Quantum Numbers ◽  
Poor Predictor ◽  
Heavy Baryons ◽  
Baryon Spectroscopy ◽  
Bottom Baryon

I review the recent proposal that there are new isotriplet heavy baryons with masses approximately 2380 MeV and 5760 MeV. This prediction follows from the application of heavy spin-flavor and light SU(3) symmetries to the observed charmed and bottom baryon states. It also entails assumptions about the spin and parity quantum numbers of the observed states which are different than is commonly supposed. The discovery of such states would imply that the nonrelativistic constituent quark model is a poor predictor of heavy baryon spectroscopy. I update the analysis in light of new data which have become available.

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