MOMENTUM-SPACE FADDEEV CALCULATIONS FOR GROUND-STATE TRIPLY AND DOUBLY HEAVY BARYONS IN THE CONSTITUENT QUARK MODEL

2010 ◽  
Vol 25 (24) ◽  
pp. 2077-2088 ◽  
Author(s):  
W. ZHENG ◽  
H. R. PANG
Keyword(s):  
Quark Model ◽  
Ground State ◽  
Constituent Quark ◽  
Relativistic Correction ◽  
Constituent Quark Model ◽  
Spin Splitting ◽  
Decuplet Baryon ◽  
Heavy Baryons ◽  
Three Body ◽  
S Quarks

In the framework of constituent quark model, mass spectra of the ground-state baryons consisting of three or two heavy (b or c) and one light (u, d or s) quarks are calculated by solving three-body Faddeev equations. The results imply that, it is possible to obtain a unified model to describe heavy baryons spectra, as well as meson and SU(3) octet and decuplet baryon spectra. We find that, when taking into account the relativistic correction quark–diquark approximation and three-body Faddeev approach tend to give similar predictions for heavy–light systems. We also study the spin splitting of JP = (1/2+) and JP = (3/2+).

scholarly journals MASSES OF LIGHT MESONS IN THE RELATIVISTIC QUARK MODEL

2005 ◽  
Vol 20 (25) ◽  
pp. 1887-1893 ◽  
Author(s):  
D. EBERT ◽  
R. N. FAUSTOV ◽  
V. O. GALKIN
Keyword(s):  
Quark Model ◽  
Ground State ◽  
Constituent Quark ◽  
Constituent Quark Model ◽  
Relativistic Quark Model ◽  
S Wave ◽  
Confining Potential ◽  
Relativistic Formula ◽  
The Masses ◽  
S Quarks

The masses of the S-wave mesons consisting of the light (u, d, s) quarks are calculated within the constituent quark model. The relativistic Schrödinger-like equation with a confining potential is numerically solved for the complete relativistic [Formula: see text] potential including both spin-independent and spin-dependent terms. The obtained masses of the ground state π, ρ, K, K* and ϕ mesons and their first radial excitations are in a reasonably good overall agreement with experimental data.

Mass spectrum of triply heavy baryon in the hypercentral quark model

2021 ◽  
Vol 36 (39) ◽  
Author(s):  
N. Tazimi ◽  
A. Ghasempour
Keyword(s):  
Quark Model ◽  
Constituent Quark ◽  
Heavy Baryon ◽  
Constituent Quark Model ◽  
Quantum Numbers ◽  
Heavy Baryons ◽  
Klein Gordon ◽  
Three Body ◽  
Uvarov Method ◽  
Dependent Interaction

In this study, we consider baryons as three-body bound systems according to hypercentral constituent quark model in configuration space and solve three-body Klein–Gordon equation. Then we analyze perturbative spin-dependent and isospin-dependent interaction effects. To find the analytical solution, we used screened potential and calculate the eigenfunctions and eigenvalues of triply heavy baryons by using Nikiforov–Uvarov method. We compute the ground and excited state masses of triply heavy baryons with quantum numbers [Formula: see text], [Formula: see text], [Formula: see text] via constituent quark model approach.

scholarly journals Properties of Doubly Heavy Baryons

Universe ◽  
2021 ◽  
Vol 7 (9) ◽  
pp. 337
Author(s):  
Zalak Shah ◽  
Amee Kakadiya ◽  
Keval Gandhi ◽  
Ajay Kumar Rai
Keyword(s):  
Excited State ◽  
Quark Model ◽  
Ground State ◽  
Mass Spectra ◽  
Constituent Quark ◽  
Magnetic Moments ◽  
Constituent Quark Model ◽  
Negative Parity ◽  
Heavy Baryons ◽  
Model Scheme

We revisited the mass spectra of the Ξcc++ baryon with positive and negative parity states using Hypercentral Constituent Quark Model Scheme with Coloumb plus screened potential. The ground state of the baryon has been determined by the LHCb experiment, and the anticipated excited state masses of the baryon have been compared with several theoretical methodologies. The transition magnetic moments of all heavy baryons Ξcc++, Ξcc+, Ωcc+, Ξbb0, Ξbb−, Ωbb−, Ξbc+, Ξbc0, Ωbc0 are also calculated and their values are −1.013 μN, 1.048 μN, 0.961 μN, −1.69 μN, 0.73 μN, 0.48 μN, −1.39 μN, 0.94 μN and 0.710 μN, respectively.

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.

The baryonic spectrum in a constituent quark model including a three-body force

1992 ◽  
Vol 343 (3) ◽  
pp. 331-336 ◽  
Author(s):  
B. Desplanques ◽  
C. Gignoux ◽  
B. Silvestre-Brac ◽  
P. Gonz�lez ◽  
J. Navarro ◽  
...  
Keyword(s):  
Quark Model ◽  
Body Force ◽  
Constituent Quark ◽  
Constituent Quark Model ◽  
Three Body

scholarly journals Universal behavior of mass gaps existing in the single heavy baryon family

2021 ◽  
Vol 81 (5) ◽  
Author(s):  
Bing Chen ◽  
Si-Qiang Luo ◽  
Xiang Liu
Keyword(s):  
Quark Model ◽  
Constituent Quark ◽  
Heavy Baryon ◽  
Constituent Quark Model ◽  
Heavy Flavor ◽  
Interesting Phenomenon ◽  
Universal Behavior ◽  
Heavy Baryons ◽  
The Masses

AbstractThe mass gaps existing in the discovered single heavy flavor baryons are analyzed, which show some universal behaviors. Under the framework of a constituent quark model, we quantitatively explain why such interesting phenomenon happens, when these established excited heavy baryons are regarded as the $$\lambda $$ λ -mode excitations. Based on the universal behaviors of the discussed mass gaps, we may have three implications including the prediction of the masses of excited $$\Xi _b^0$$ Ξ b 0 baryons which are still missing in the experiment. For completeness, we also discuss the mass gaps of these $$\rho $$ ρ -mode excited single heavy flavor baryons.

scholarly journals Investigation of Baryons in the Hypercentral Quark Model

2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
N. Tazimi ◽  
P. Sadeghi Alavijeh
Keyword(s):  
Quark Model ◽  
Gordon Equation ◽  
Constituent Quark ◽  
Constituent Quark Model ◽  
Klein Gordon ◽  
Charm Baryons ◽  
Semileptonic Baryon Decays ◽  
Three Body ◽  
Klein Gordon Equation ◽  
Dependent Interaction

In the present study, we consider baryons as three-body bound systems according to the hypercentral constituent quark model in configuration space and solve the three-body Klein-Gordon equation. Then, we analyze perturbative spin-dependent and isospin-dependent interaction effects. To find the analytical solution, we use screened potential and calculate the eigenfunctions and eigenvalues of some baryons. We consider exclusive semileptonic decays of bottom and charm baryons and apply the differential decay width with the Isgur-Wise function and arrive at the rates for some semileptonic baryon decays. The results prove more enhanced compared to recent works and comply well with the experimental data.

scholarly journals Study of Heavy Strange Baryons in a Hypercentral Quark Model

2018 ◽  
Vol 46 ◽  
pp. 1860037 ◽  
Author(s):  
Zahra Ghalenovi
Keyword(s):  
Quark Model ◽  
Radiative Decay ◽  
Goldstone Boson ◽  
Constituent Quark Model ◽  
Baryon Spectrum ◽  
Heavy Baryons ◽  
Boson Exchange ◽  
Charm Baryons ◽  
The One ◽  
Three Body

In this work, we study the properties of the heavy baryons with strangeness employing a constituent quark model in the hypercentral approach. The potential model considers the interactions arising the one-gluon exchange, Goldstone boson exchange and confinement, aspects of underlying theory, quantum chromodynamics (QCD). By solving three-body Schrodinger equation of baryonic system, we obtain the ground as well as the corresponding energy eigenvalues of the system. Using the obtained energies, we calculate the baryon spectrum. We extend our scheme to predict the radiative decay width of the charm baryons. A comparison of our results with those of other works and experimental data is also presented.

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