Multiquark states in the Thomas−Fermi quark model and on the lattice

We describe work being done at Baylor University investigating the possibility of new states of mesonic matter containing two or more quark–antiquark pairs. To put things in context, we begin by describing the lattice approach to hadronic physics. We point out there is a need for a quark model which can give an overall view of the quark interaction landscape. A new application of the Thomas–Fermi (TF) statistical quark model is described, similar to a previous application to baryons. The main usefulness of this model will be to detect systematic energy trends in the composition of the various particles. It could be a key to identifying families of bound states, rather than individual cases. Numerical results based upon a set of parameters derived from a phenomenological model of tetraquarks are given.

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NON-NUCLEAR MULTIQUARK STATES: DIBARYONS AND PENTAQUARKS FROM A SUCCESSFUL NUCLEAR QUARK MODEL

International Journal of Modern Physics A ◽

10.1142/s0217751x05023748 ◽

2005 ◽

Vol 20 (08n09) ◽

pp. 1963-1966

Author(s):

T. GOLDMAN

Keyword(s):

Binding Energy ◽

Quark Model ◽

Free Parameter ◽

New Physics ◽

Low Energy ◽

Nuclear Binding Energy ◽

Low Mass ◽

Scattering Phase ◽

Multiquark States ◽

Scattering Phase Shifts

A model for nuclei described directly in terms of quarks has been developed in both relativistic and non-relativistic forms. It describes nuclear binding energy and structure for small nuclei (A=3,4) systematically correctly, including the EMC effect. With one free parameter each for strange and for nonstrange states, it also well describes low energy baryon-nucleon scattering, phase shifts and potentials. It predicts low mass, narrow dibaryon and pentaquark states. To be consistent with reported states, new physics may be required that is not included in any quark model to date.

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Application of the Thomas Fermi quark model to multiquark mesons

Nuclear Physics A ◽

10.1016/j.nuclphysa.2019.07.010 ◽

2019 ◽

Vol 990 ◽

pp. 259-293 ◽

Cited By ~ 1

Author(s):

Suman Baral ◽

Walter Wilcox

Keyword(s):

Quark Model ◽

Thomas Fermi

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The Thomas–Fermi quark model: Non-relativistic aspects

Annals of Physics ◽

10.1016/j.aop.2013.11.014 ◽

2014 ◽

Vol 341 ◽

pp. 164-182 ◽

Cited By ~ 3

Author(s):

Quan Liu ◽

Walter Wilcox

Keyword(s):

Quark Model ◽

Thomas Fermi

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CHIRAL SU(3) QUARK MODEL AND MULTIQUARK STATES

International Journal of Modern Physics A ◽

10.1142/s0217751x05023281 ◽

2005 ◽

Vol 20 (08n09) ◽

pp. 1753-1758

Author(s):

Z. Y. ZHANG

Keyword(s):

Quark Model ◽

Theoretical Framework ◽

Multiquark States

In this report, the theoretical framework of the chiral SU (3) quark model is introduced briefly. By using this model the NN, YN and KN scattering processes, the structures of dibaryon states and pentaquark states are studied. A new interesting dibaryon candidate (ΩΩ)0+ is predicted.

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Investigation of quark distributions in a family of pentaquarks using the Thomas–Fermi quark model

Communications in Theoretical Physics ◽

10.1088/1572-9494/abdaa4 ◽

2021 ◽

Vol 73 (3) ◽

pp. 035202

Author(s):

Mohan Giri ◽

Suman Baral ◽

Gopi Chandra Kaphle ◽

Nirmal Dangi ◽

Sudip Shiwakoti ◽

...

Keyword(s):

Quark Model ◽

Thomas Fermi

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Erratum to “The Thomas–Fermi quark model: Non-relativistic aspects” [Ann. Phys. 341 (2014) 164–182]

Annals of Physics ◽

10.1016/j.aop.2019.03.021 ◽

2019 ◽

Vol 405 ◽

pp. 410-412 ◽

Cited By ~ 1

Author(s):

Quan Liu ◽

Walter Wilcox

Keyword(s):

Quark Model ◽

Thomas Fermi

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Multiquark States

Annual Review of Nuclear and Particle Science ◽

10.1146/annurev-nucl-101917-020902 ◽

2018 ◽

Vol 68 (1) ◽

pp. 17-44 ◽

Cited By ~ 73

Author(s):

Marek Karliner ◽

Jonathan L. Rosner ◽

Tomasz Skwarnicki

Keyword(s):

Quark Model ◽

Recent Progress ◽

Heavy Quarks ◽

Elementary Particles ◽

Strong Interactions ◽

Exotic Mesons ◽

Strongly Interacting ◽

Multiquark States

Why do we see certain types of strongly interacting elementary particles and not others? This question was posed more than 50 years ago in the context of the quark model. M. Gell-Mann and G. Zweig proposed that the known mesons were [Formula: see text] and baryons qqq, with the quarks known at the time, u (up), d (down), and s (strange), having charges of 2/3, −1/3, and −1/3, respectively. Mesons and baryons would then have integral charges. Mesons such as [Formula: see text] and baryons such as [Formula: see text] would also have integral charges. Why weren't they seen? They have now been seen, but only with additional heavy quarks and under conditions that tell us a lot about the strong interactions and how they manifest themselves. This review describes recent progress in our understanding of such exotic mesons and baryons.

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