scholarly journals Spectrum of the $$uudc \bar{c}$$ hidden charm pentaquark with an SU(4) flavor-spin hyperfine interaction

2019 ◽  
Vol 79 (11) ◽  
Author(s):  
Fl. Stancu
Keyword(s):  
Hyperfine Interaction ◽  
Ground State ◽  
Constituent Quark ◽  
Constituent Quark Model ◽  
Negative Parity ◽  
Wave Functions ◽  
Positive Parity ◽  
Permutation Symmetry ◽  
Orbital Excitation ◽  
Space Wave

AbstractWe study a few of the lowest states of the pentaquark $$uudc\overline{c}$$uudcc¯, of positive and negative parity, in a constituent quark model with an SU(4) flavor-spin hyperfine interaction. For positive parity we introduce space wave functions of appropriate permutation symmetry with one unit of orbital angular momentum in the internal motion of the four-quark subsystem or an orbital excitation between the antiquark and the four quark subsystem which remains in the ground state. We show that the lowest positive parity states $$1/2^+, 3/2^+$$1/2+,3/2+ are provided by the first alternative and are located below the $$1/2^-$$1/2- and the $$1/2^+$$1/2+ states with all quarks in the ground state. We compare our results with the LHCb three narrow pentaquark structures reported in 2019.

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.

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.

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.

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.

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.

PROPERTIES OF $b\bar{b}$ MESONS IN CONSTITUENT QUARK MODELS

2012 ◽  
Vol 27 (08) ◽  
pp. 1250025 ◽  
Author(s):  
SHAONA CHEN ◽  
JIALUN PING
Keyword(s):  
Quark Model ◽  
B Mesons ◽  
Constituent Quark ◽  
Constituent Quark Model ◽  
Electric Dipole Transition ◽  
Wave Functions ◽  
Two Photon ◽  
Photon Decay ◽  
Color Confinement ◽  
Quark Models

The properties of bottomonia are investigated in detail in the constituent quark model. The wave functions of bottomonia are obtained by solving Dirac equation and Schrödinger equation. The potentials between quark and antiquark include color confinement (linear and quadratic) and one-gluon-exchange. Based on the obtained wave functions, the electromagnetic and two-photon decay, electric dipole transition, and hadronic width of bottomonia are calculated. The calculated results are in a good agreement with the experimental data. The results also show that the nonrelativistic and relativistic version of quark model can all describe the properties of bottomonia.

scholarly journals Masses of positive- and negative-parity hadron ground-states, including those with heavy quarks

2021 ◽  
Vol 81 (4) ◽  
Author(s):  
Pei-Lin Yin ◽  
Zhu-Fang Cui ◽  
Craig D. Roberts ◽  
Jorge Segovia
Keyword(s):  
Quantum Chromodynamics ◽  
Contact Interaction ◽  
Ground State ◽  
Constituent Quark ◽  
Algebraic Approach ◽  
Negative Parity ◽  
Heavy Quarks ◽  
Decay Constants ◽  
Faddeev Amplitude ◽  
Quark Models

AbstractA symmetry-preserving treatment of a vector $$\times $$ ×  vector contact interaction is used to compute spectra of ground-state $$J^P = 0^\pm , 1^\pm $$ J P = 0 ± , 1 ± $$(f{\bar{g}})$$ ( f g ¯ ) mesons, their partner diquark correlations, and $$J^P=1/2^\pm , 3/2^\pm $$ J P = 1 / 2 ± , 3 / 2 ± (fgh) baryons, where $$f,g,h \in \{u,d,s,c,b\}$$ f , g , h ∈ { u , d , s , c , b } . Results for the leptonic decay constants of all mesons are also obtained, including scalar and pseudovector states involving heavy quarks. The spectrum of baryons produced by this chiefly algebraic approach reproduces the 64 masses known empirically or computed using lattice-regularised quantum chromodynamics with an accuracy of 1.4(1.2)%. It also has the richness of states typical of constituent-quark models and predicts many baryon states that have not yet been observed. The study indicates that dynamical, nonpointlike diquark correlations play an important role in all baryons; and, typically, the lightest allowed diquark is the most important component of a baryon’s Faddeev amplitude.

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