Existence of mesons after deconfinement

Brau, Fabian; Buisseret, Fabien

doi:10.1103/physrevc.76.065212

Cited by 9 publications

(15 citation statements)

References 37 publications

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“…which equals 1.7 𝑇 𝑐 . Also, the value ϒ are agreement with Ref [56]. which gives the dissociation temperature of the 1S bottomonium 𝑇 𝑑= 1.4 𝑇 𝐶 .…”

supporting

confidence: 90%

Binding Energies and Dissociation Temperatures of Heavy Quarkonia at Finite Temperature and Chemical Potential in theN-Dimensional Space

Abu‐Shady

Abdel-Karim

Khokha

2018

Advances in High Energy Physics

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The N-dimensional radial Schrödinger equation has been solved using the analytical exact iteration method (AEIM), in which the Cornell potential is generalized to finite temperature and chemical potential. The energy eigenvalues have been calculated in the N-dimensional space for any state. The present results have been applied for studying quarkonium properties such as charmonium and bottomonium masses at finite temperature and quark chemical potential. The binding energies and the mass spectra of heavy quarkonia are studied in the N-dimensional space. The dissociation temperatures for different states of heavy quarkonia are calculated in the three-dimensional space. The influence of dimensionality number (N) has been discussed on the dissociation temperatures. In addition, the energy eigenvalues are only valid for nonzero temperature at any value of quark chemical potential. A comparison is studied with other recent works. We conclude that the AEIM succeeds in predicting the heavy quarkonium at finite temperature and quark chemical potential in comparison with recent works.

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“…which equals 1.7 𝑇 𝑐 . Also, the value ϒ are agreement with Ref [56]. which gives the dissociation temperature of the 1S bottomonium 𝑇 𝑑= 1.4 𝑇 𝐶 .…”

supporting

confidence: 90%

Binding Energies and Dissociation Temperatures of Heavy Quarkonia at Finite Temperature and Chemical Potential in theN-Dimensional Space

Abu‐Shady

Abdel-Karim

Khokha

2018

Advances in High Energy Physics

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“…The number of effectively present strongly interacting degrees of freedom of quarks and gluons is influenced by their interactions, characterized by the strong coupling constant as, Where, n f is the number of quark flavors, (n f = 0, 2, 3). From lattice QCD computations [9,10]…”

Section: The Phase Transition Pointmentioning

confidence: 99%

A study on the deconfined degree of freedom (g1) and the running coupling constant ()

Shalaby¹

2012

Int. J. Phys. Sci.

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The degree of freedom in the confined hadronic matter phase and the deconifned phase i.e the quark gluon plasma (QGP) is important in the study of phase transition in the early universe. It is calculated according to the strong coupling constant. But in the present work we try to figure out the effect of the running coupling constant in the calculation of the degree of freedom in the confined-deconfined phase of matter.

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“…This type of potentials is used in many field of physics, even in hadronic physics. If the interaction in a quark-antiquark system or between two gluons in the vacuum can be simulated by a funnel potential (Coulomb+linear), the confinement vanishes inside a quark-gluon plasma above a critical temperature and the interaction could turn into a Yukawa potential [36]. With a nonrelativistic kinematics, we can write…”

Section: Confmentioning

confidence: 99%

Lagrange-mesh calculations in momentum space

Lacroix,

Semay,

Buisseret

2012

Preprint

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The Lagrange-mesh method is a powerful method to solve eigenequations written in configuration space. It is very easy to implement and very accurate. Using a Gauss quadrature rule, the method requires only the evaluation of the potential at some mesh points. The eigenfunctions are expanded in terms of regularized Lagrange functions which vanish at all mesh points except one. It is shown that this method can be adapted to solve eigenequations written in momentum space, keeping the convenience and the accuracy of the original technique. In particular, the kinetic operator is a diagonal matrix. Observables in both configuration space and momentum space can also be easily computed with a good accuracy using only eigenfunctions computed in the momentum space. The method is tested with Gaussian and Yukawa potentials, requiring respectively a small or a great mesh to reach convergence.

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Existence of mesons after deconfinement

Cited by 9 publications

References 37 publications

Binding Energies and Dissociation Temperatures of Heavy Quarkonia at Finite Temperature and Chemical Potential in theN-Dimensional Space

Binding Energies and Dissociation Temperatures of Heavy Quarkonia at Finite Temperature and Chemical Potential in theN-Dimensional Space

A study on the deconfined degree of freedom (g1) and the running coupling constant ()

Lagrange-mesh calculations in momentum space

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