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.

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 Charmed and Bottom Tetraquarks in the Non-Relativistic Quark Model

2018 ◽  
Vol 46 ◽  
pp. 1860084 ◽  
Author(s):  
Zahra Ghalenovi
Keyword(s):  
Wave Function ◽  
Quark Model ◽  
Bound States ◽  
Constituent Quark ◽  
Constituent Quark Model ◽  
Relativistic Quark Model ◽  
Scalar State ◽  
State Formula ◽  
The Masses ◽  
Scalar Resonances

Heavy tetraquark states are studied within the diquark-antidiquark picture in the framework of a simple constituent quark model. Considering hyperfine spin and isospin interactions, we predict the masses of the scalar diquarks and of the open and hidden charmed and bottom scalar tetraquarks. Our results indicate the scalar resonances [Formula: see text] and [Formula: see text] have a sizable tetraquark amount in their wave function, while it turns out the scalar state [Formula: see text] should not be considered as being predominately diquark-antidiquark bound states.

scholarly journals STRUCTURE OF LIGHT AND HEAVY PENTAQUARKS

2005 ◽  
Vol 20 (08n09) ◽  
pp. 1797-1802 ◽  
Author(s):  
FL. STANCU
Keyword(s):  
Variational Method ◽  
Hyperfine Interaction ◽  
Quark Model ◽  
Constituent Quark ◽  
Constituent Quark Model ◽  
Positive Parity ◽  
Model Based ◽  
Quantum Numbers ◽  
The Masses

Light and heavy pentaquarks are described within a constituent quark model based on a spin-flavor hyperfine interaction. In this model the lowest state acquires positive parity. The masses of the light antidecuplet members are calculated dynamically using a variational method. It is shown that the octet and antidecuplet states with the same quantum numbers mix ideally due to SU (3)F breaking. Masses of the charmed antisextet pentaquarks are predicted within the same model.

scholarly journals WIDTH OF θ-PENTAQUARKS IN RELATIVISTIC QUARK MODEL

2005 ◽  
Vol 20 (24) ◽  
pp. 1813-1821
Author(s):  
S. M. GERASYUTA ◽  
V. I. KOCHKIN
Keyword(s):  
Quark Model ◽  
Dispersion Relations ◽  
Relativistic Quark Model ◽  
Relativistic Generalization ◽  
The Masses ◽  
S Quarks

The relativistic generalization of Faddeev–Yakubovsky approach is constructed in the form of the dispersion relations. The five-quark amplitudes for the low-lying pentaquarks including the u-, d-, s-quarks are calculated. The poles of these amplitudes determine the masses and widths of θ-pentaquarks.

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.

MASSES OF CHARM AND BEAUTY BARYONS IN THE CONSTITUENT QUARK MODEL

2012 ◽  
Vol 21 (06) ◽  
pp. 1250057 ◽  
Author(s):  
Z. GHALENOVI ◽  
A. A. RAJABI ◽  
A. TAVAKOLINEZHAD
Keyword(s):  
Harmonic Oscillator ◽  
Hyperfine Interaction ◽  
Ground State ◽  
Constituent Quark ◽  
Constituent Quark Model ◽  
The Other ◽  
Heavy Baryons ◽  
Quark Potential ◽  
The Masses ◽  
Hypercentral Approach

The masses of the ground state heavy baryons are studied using the hypercentral approach. The considered potential is a combination of Coulombic, linear confining and harmonic oscillator terms. An improved form of the hyperfine interaction and isospin dependent quark potential is introduced. By solving the Schrödinger equation for three particles system, we calculate the ground state masses of the baryons containing one, two and three heavy quarks. The obtained results are very close to the ones obtained in experiments or in the other works.

s-wave nucleon-antinucleon interaction in the constituent quark model

1988 ◽  
Vol 485 (3-4) ◽  
pp. 481-508 ◽  
Author(s):  
G. Ihle ◽  
H.J. Pirner ◽  
J.M. Richard
Keyword(s):  
Quark Model ◽  
Constituent Quark ◽  
Constituent Quark Model ◽  
S Wave

scholarly journals Estimation of ground state pentaquark masses

2014 ◽  
Vol 29 ◽  
pp. 1460251 ◽  
Author(s):  
K. Xu ◽  
N. Ritjoho ◽  
S. Srisuphaphon ◽  
Y. Yan
Keyword(s):  
Exchange Interaction ◽  
Quark Model ◽  
Ground State ◽  
Constituent Quark ◽  
Constituent Quark Model ◽  
Wave Functions ◽  
Permutation Groups ◽  
Gluon Exchange

Permutation groups are applied to analyze the symmetries of multiquark systems and wave functions of pentaquark states are constructed systematically in the language of Yamanouchi basis. We estimate the mass of baryons in the constituent quark model with one-gluon-exchange interaction, assuming that baryons consist of the q3 component as well as the [Formula: see text] pentaquark component.

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.

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