scholarly journals Multiquark states in the Thomas–Fermi quark model and on the lattice

2019 ◽  
Vol 34 (29) ◽  
pp. 1941008
Author(s):  
Walter Wilcox ◽  
Suman Baral
Keyword(s):  
Quark Model ◽  
Phenomenological Model ◽  
Bound States ◽  
Hadronic Physics ◽  
Thomas Fermi ◽  
Baylor University ◽  
Quark Interaction ◽  
New States ◽  
Multiquark States ◽  
Lattice Approach

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.

scholarly journals The Genuine Resonance of Full-Charm Tetraquarks

Universe ◽  
2021 ◽  
Vol 7 (5) ◽  
pp. 155
Author(s):  
Xiaoyun Chen
Keyword(s):  
Quark Model ◽  
Bound States ◽  
Expansion Method ◽  
Chiral Quark Model ◽  
Stabilization Method ◽  
Scaling Method ◽  
Resonance States ◽  
Gaussian Expansion Method ◽  
Color Structure ◽  
Quantum Numbers

In this work, the genuine resonance states of full-charm tetraquark systems with quantum numbers JPC=0++,1+−,2++ are searched in a nonrelativistic chiral quark model with the help of the Gaussian Expansion Method. In this calculation, two structures, meson-meson and diquark–antidiquark, as well as their mixing with all possible color-spin configurations, are considered. The results show that no bound states can be formed. However, resonances are possible because of the color structure. The genuine resonances are identified by the stabilization method (real scaling method). Several resonances for the full-charm system are proposed, and some of them are reasonable candidates for the full-charm states recently reported by LHCb.

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

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.

scholarly journals POSSIBLE $D\bar{D}$ AND $B\bar{B}$ MOLECULAR STATES IN A CHIRAL QUARK MODEL

2012 ◽  
Vol 27 (27) ◽  
pp. 1250161 ◽  
Author(s):  
M. T. LI ◽  
W. L. WANG ◽  
Y. B. DONG ◽  
Z. Y. ZHANG
Keyword(s):  
Quark Model ◽  
Systematic Study ◽  
Bound States ◽  
Effective Interaction ◽  
Bound State ◽  
Chiral Quark Model ◽  
State Problem ◽  
Bound State Problem

We perform a systematic study of the bound state problem of [Formula: see text] and [Formula: see text] systems by using effective interaction in our chiral quark model. Our results show that both the interactions of [Formula: see text] and [Formula: see text] states are attractive, which consequently result in [Formula: see text] and [Formula: see text] bound states.

scholarly journals The Masses of Heavy Pentaquarks in Non-Relativistic Bethe-Salpeter Quark Model

2021 ◽  
Vol 68 (1 Jan-Feb) ◽  
Author(s):  
M. Abu-shady ◽  
N. H. Gerish ◽  
M. M. A. Ahmed
Keyword(s):  
Quark Model ◽  
Good Description ◽  
Spin Interaction ◽  
Linear Potential ◽  
Exotic Particles ◽  
Quark Interaction ◽  
The Masses ◽  
Two Bodies

The exotic particles such as the pentaquarks are to strengthen understanding of important interactions and the principle of QCD in which pentaquarks contain two heavy- valence quarks. The structure of two bodies including an antiquark and two-diquark is introduced. A new potential for quark interaction is suggested which includes the logarithm potential, the linear potential, and the spin-spin interaction. The suggested potential is included in the framework of spinless of Bethe-Salpeter equation. A comparison with other works is presented which provides a good description of pentaquarks.

scholarly journals Application of the Thomas Fermi quark model to multiquark mesons

2019 ◽  
Vol 990 ◽  
pp. 259-293 ◽  
Author(s):  
Suman Baral ◽  
Walter Wilcox
Keyword(s):  
Quark Model ◽  
Thomas Fermi

scholarly journals Holographic Multiquarks in the Quark-Gluon Plasma: A Review

2011 ◽  
Vol 2011 ◽  
pp. 1-40 ◽  
Author(s):  
Piyabut Burikham ◽  
Ekapong Hirunsirisawat
Keyword(s):  
Magnetic Field ◽  
Phase Diagram ◽  
Magnetic Properties ◽  
Quark Gluon Plasma ◽  
Bound States ◽  
Degrees Of Freedom ◽  
Gluon Plasma ◽  
Screening Length ◽  
Holographic Approach ◽  
Multiquark States

We review the holographic multiquark states in the deconfined quark-gluon plasma. Nuclear matter can become deconfined by extremely high temperature and/or density. In the deconfined nuclear medium, bound states with colour degrees of freedom are allowed to exist. Using holographic approach, the binding energy and the screening length of the multiquarks can be calculated. Using the deconfined Sakai-Sugimoto model, the phase diagram of the multiquark phase, the vacuum phase, and the chiral-symmetric quark-gluon plasma can be obtained. Then we review the magnetic properties of the multiquarks and their phase diagrams. The multiquark phase is compared with the pure pion gradient, the magnetized vacuum, and the chiral-symmetric quark-gluon plasma phases. For moderate temperature and sufficiently large density at a fixed magnetic field, the mixed phase of multiquark and pion gradient is the most energetically preferred phase.

scholarly journals Studies on bound-state spectra of Manning–Rosen potential

2014 ◽  
Vol 29 (09) ◽  
pp. 1450042 ◽  
Author(s):  
Amlan K. Roy
Keyword(s):  
Bound States ◽  
Bound State ◽  
Wide Range ◽  
New States ◽  
Efficient Scheme ◽  
Molecular Potentials ◽  
Vibrational Energies ◽  
Rosen Potential ◽  
First Time ◽  
Potential Parameters

Accurate ro-vibrational energies, eigenfunctions, radial densities, expectation values are presented for the exponential-type Manning–Rosen (MR) potential. Bound states, accurate up to ten significant figure are obtained by employing a simple, reliable generalized pseudospectral (GPS) method. All 55 eigenstates with n ≤10 are treated for arbitrary values of potential parameters, covering a wide range of interaction, through a non-uniform, optimal spatial radial discretization. A detailed investigation has been made on energy changes with respect to screening and other potential parameters. A systematic estimation of critical screening parameters is given for these eigenstates. Special emphasis has been given to higher states and in the vicinity of critical screening region. A thorough comparison with literature results is made wherever possible. This surpasses the accuracy of all other existing methods currently available. Several new states are reported for the first time. In short, a simple, efficient scheme for accurate calculation of this and other molecular potentials is offered.

scholarly journals Convectons, anticonvectons and multiconvectons in binary fluid convection

2010 ◽  
Vol 667 ◽  
pp. 586-606 ◽  
Author(s):  
ISABEL MERCADER ◽  
ORIOL BATISTE ◽  
ARANTXA ALONSO ◽  
EDGAR KNOBLOCH
Keyword(s):  
Boundary Conditions ◽  
Bound States ◽  
Neumann Boundary ◽  
Localized States ◽  
Numerical Continuation ◽  
Binary Fluid ◽  
Flux Boundary Conditions ◽  
New States ◽  
Fluid Convection ◽  
Binary Fluid Mixtures

Binary fluid mixtures with a negative separation ratio heated from below exhibit steady spatially localized states called convectons for supercritical Rayleigh numbers. Numerical continuation is used to compute such states in the presence of both Neumann boundary conditions and no-slip no-flux boundary conditions in the horizontal. In addition to the previously identified convectons, new states referred to as anticonvectons with a void in the centre of the domain, and wall-attached convectons attached to one or other wall are identified. Bound states of convectons and anticonvectons called multiconvecton states are also computed. All these states are located in the so-called snaking or pinning region in the Rayleigh number and may be stable. The results are compared with existing results with periodic boundary conditions.

Bound states in the colored-quark model

1974 ◽  
Vol 49 (2) ◽  
pp. 178-180 ◽  
Author(s):  
R.H. Capps
Keyword(s):  
Quark Model ◽  
Bound States
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