An elementary construction of the color wave functions in the quark model

1996 ◽  
Vol 64 (5) ◽  
pp. 589-593
Author(s):  
Peter von Brentano ◽  
Winfried Frank
Keyword(s):  
Quark Model ◽  
Wave Functions ◽  
Elementary Construction

scholarly journals Masses of fully heavy tetraquarks $$QQ {\bar{Q}} {\bar{Q}}$$ in an extended relativized quark model

2020 ◽  
Vol 80 (9) ◽  
Author(s):  
Qi-Fang Lü ◽  
Dian-Yong Chen ◽  
Yu-Bing Dong
Keyword(s):  
Quark Model ◽  
Mass Spectra ◽  
Ground States ◽  
Lhcb Collaboration ◽  
Wave Functions ◽  
Recent Measurement ◽  
Heavy Quarkonium ◽  
Radial Excitation ◽  
Broad Structure ◽  
Narrow Structure

AbstractInspired by recent measurement of possible fully charmed tetraquarks in LHCb Collaboration, we investigate the mass spectra of fully heavy tetraquarks $$QQ {\bar{Q}} {\bar{Q}}$$ Q Q Q ¯ Q ¯ in an extended relativized quark model. Our estimations indicate that the broad structure around 6.4 GeV should contain one or more ground states for $$cc {\bar{c}} {\bar{c}}$$ c c c ¯ c ¯ tetraquarks, while the narrow structure near 6.9 GeV can be categorized as the first radial excitation of $$cc {\bar{c}} {\bar{c}}$$ c c c ¯ c ¯ system. Moreover, with the wave functions of the tetraquarks and mesons, the strong decays of tetraquarks into heavy quarkonium pair are qualitatively discussed, which can be further checked by the LHCb and CMS Collaborations.

scholarly journals Symmetries in subatomic multi-quark systems

2018 ◽  
Vol 27 (12) ◽  
pp. 1840003
Author(s):  
J. D. Vergados ◽  
D. Strottman
Keyword(s):  
Quantum Chromodynamics ◽  
Quark Model ◽  
Spin Symmetry ◽  
Wave Functions ◽  
Low Energy ◽  
Isospin Symmetry ◽  
Permutation Symmetry

We discus the role of Quantum Chromodynamics (QCD) in low energy phenomena involving the color-spin symmetry of the quark model. We then combine it with orbital and isospin symmetry to obtain wave functions with the proper permutation symmetry, focusing on multi-quark systems.

RADIATIVE DECAYS OF BARYONS IN A FIELD THEORETIC QUARK MODEL

1996 ◽  
Vol 11 (32) ◽  
pp. 5685-5700 ◽  
Author(s):  
A.R. PANDA ◽  
R.K. SAHOO
Keyword(s):  
Quark Model ◽  
Radiative Decay ◽  
Constituent Quark ◽  
Theoretical Calculations ◽  
Wave Functions ◽  
Radiative Decays ◽  
Quark Field ◽  
Decay Widths ◽  
Helicity Amplitudes ◽  
Decays Of Baryons

Radiative decays of baryons are considered in a field theoretic quark model of composite hadrons where the translationally invariant SU (6) hadron states are described by constituent quark field operators and harmonic oscillator wave functions. The constituent quark field operators of the model satisfying the equal time algebra are also Lorentz-boosted through a spin rotation to describe hadrons in motion. The model, like its earlier success in describing the different hadronic phenomena, in the present investigation without any free parameters, obtains the radiative decay widths and helicity amplitudes in reasonable agreement with other theoretical calculations as well as with the available experimental measurements.

NON-LEPTONIC WEAK TRANSITIONS WITH ΔI = 1/2 RULE IN DIQUARK-QUARK MODEL USING THE PAULI-GÜRSEY SYMMETRY

1994 ◽  
Vol 09 (12) ◽  
pp. 1059-1069 ◽  
Author(s):  
K. SUZUKI ◽  
H. TOKI
Keyword(s):  
Quark Model ◽  
Ground State ◽  
Wave Functions ◽  
P Wave ◽  
Standard Process ◽  
Weak Process ◽  
Pion Emission ◽  
Spin Singlet ◽  
Weak Transitions

We study the non-leptonic weak transitions of ground state baryons in diquark-quark model. These weak transitions exhibit the ΔI = 1/2 rule, which is hard to account for in the standard weak process. If the diquark correlations are strong among flavor-antitriplet and spin-singlet pairs, we can make the weak transitions among diquarks followed by pion emission much stronger than the standard process. We estimate all the non-leptonic weak transitions of ground state baryons by assuming the Pauli-Gürsey symmetry together with the SU(6) wave functions. We can account for all the P-wave transition strengths quantitatively and hence the ΔI = 1/2 rule.

scholarly journals MASS SPECTRUM OF THE JP=1/2- AND 3/2- PENTAQUARK ANTIDECUPLETS IN THE PERTURBATIVE CHIRAL QUARK MODEL

2005 ◽  
Vol 14 (07) ◽  
pp. 995-1015 ◽  
Author(s):  
T. INOUE ◽  
V. E. LYUBOVITSKIJ ◽  
TH. GUTSCHE ◽  
AMAND FAESSLER
Keyword(s):  
Mass Spectrum ◽  
Quark Model ◽  
Single Particle ◽  
Ground State ◽  
Bound State ◽  
Wave Functions ◽  
Chiral Quark Model ◽  
Confining Potential ◽  
Full Mass Spectrum ◽  
Basic Configuration

We study the recently discovered Θ+ baryon in the context of the perturbative chiral quark model. The basic configuration of the Θ+ is a pentaquark bound state, where the single particle wave functions are the ground state solutions of a confining potential. We classify the resulting pentaquark multiplets as the JP=1/2- and 3/2- flavor SU (3) antidecuplet. The full mass spectrum of the multiplets is determined by including the meson and gluon cloud contributions, which induce flavor SU (3) breaking. The resulting 3/2- antidecuplet is about 185 MeV heavier than the 1/2- one, mainly because of the semi-perturbative gluon effects. We assign the observed Θ+ baryon as a member of the 1/2- antidecuplet and discuss in particular its relation to the recent experimental signal for a Ξ-- baryon.

scholarly journals HYPERFINE MIXING AND THE SEMILEPTONIC DECAYS OF DOUBLE-HEAVY BARYONS IN A QUARK MODEL

2009 ◽  
Vol 24 (13) ◽  
pp. 2401-2413 ◽  
Author(s):  
W. ROBERTS ◽  
MUSLEMA PERVIN
Keyword(s):  
Wave Function ◽  
Decay Rate ◽  
Quark Model ◽  
Semileptonic Decay ◽  
Semileptonic Decays ◽  
Wave Functions ◽  
Total Rate ◽  
Spin Wave Function ◽  
Full Wave ◽  
Heavy Baryons

The semileptonic decays of the lowest-lying double-heavy baryons are treated in a quark model. For the Ξbb, hyperfine mixing in the spin wave function leaves the total rate for decay into the lowest lying daughter baryons essentially unchanged, but changes the relative rates into the Ξbc and [Formula: see text]. The same pattern is obtained in the decays of the Ωbb. For the Ξbc, this mixing leads to factor of about 17 suppression in the decay rate to the [Formula: see text] when wave functions truncated to the largest components are used, but the total semileptonic decay rate of the parent baryon remains essentially unchanged. For the Ωbc, the decay to the [Formula: see text] is suppressed by a factor of more than 25 from the unmixed case. When the full wave functions are used, the large suppression of the decays to the [Formula: see text] and [Formula: see text] persists.

Two-body strong decay of light mesons with Gaussian expansion method

2014 ◽  
Vol 29 (30) ◽  
pp. 1450175 ◽  
Author(s):  
Xiaoyun Chen ◽  
Zhaozhao Yan ◽  
Jialun Ping
Keyword(s):  
Experimental Data ◽  
Harmonic Oscillator ◽  
Quark Model ◽  
Expansion Method ◽  
Wave Functions ◽  
Chiral Quark Model ◽  
Strong Decay ◽  
Exotic States ◽  
Gaussian Expansion Method ◽  
Normal States

In this paper, we survey the radial and orbital excitations of I = 0 and [Formula: see text] systems anticipated up to 2.0 GeV in the framework of the chiral quark model. The Schrödinger equation is solved by using Gaussian expansion method. And using the wave functions obtained, instead of the simple harmonic oscillator wave functions, we study systematically the two-body strong decay (limited to S + S modes) of the systems. By comparing with the experimental data, we try to identify the normal states and exotic states.

scholarly journals Heavy baryon production with an instanton interaction

2020 ◽  
Vol 2020 (5) ◽  
Author(s):  
Sang-In Shim ◽  
Atsushi Hosaka ◽  
Hyun-Chul Kim
Keyword(s):  
Reaction Mechanism ◽  
Quark Model ◽  
Heavy Baryon ◽  
Wave Functions ◽  
Baryon Production ◽  
Production Rates ◽  
Charmed Baryons ◽  
Charmed Baryon ◽  
Strange Baryons ◽  
Large Production

Abstract We propose a new reaction mechanism for the study of strange and charmed baryon production. In this mechanism we consider the correlation of two quarks in baryons, so it can be called the two-quark process. As in the previously studied one-quark process, we find large production rates for charmed baryons in comparison with strange baryons. Moreover, the new mechanism causes the excitation of both the $\rho$ mode and the $\lambda$ mode. Using the wave functions for baryons from a quark model, we compute the production rates of various baryon states. We find that the production rates reflect the structure of the wave functions that imply the usefulness of the reactions for the study of baryon structures.

RADIATIVE DECAY OF HEAVY MESONS IN A RELATIVISTIC QUARK MODEL

1999 ◽  
Vol 14 (11) ◽  
pp. 1759-1768 ◽  
Author(s):  
R. K. DAS ◽  
A. R. PANDA ◽  
R. K. SAHOO
Keyword(s):  
Quark Model ◽  
Radiative Decay ◽  
Constituent Quark ◽  
Theoretical Calculations ◽  
Spin Rotation ◽  
Wave Functions ◽  
Radiative Decays ◽  
Quark Field ◽  
Decay Widths ◽  
Free Parameters

Radiative decays of heavy vector mesons are considered in the lowest order in a field-theoretic quark model of composite hadrons. The translationally invariant hadron states required in such a calculation are described by constituent quark field operators satisfying equal time algebra and harmonic oscillator wave functions. The constituent quark field operators are Lorentz-boosted through a spin rotation to describe hadrons in motion. The model, like its earlier success in describing different hadronic phenomena, in the present investigation without any free parameters also obtains the radiative decay widths and transition moments in reasonable agreement with other theoretical calculations as well as experimental measurements.

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