Heavy quarkonia spectroscopy at zero and finite temperature in bottom-up AdS/QCD

Finite-temperature spectra of heavy quarkonia are calculated by combining potential model and thermofield dynamics formalisms. The mass spectra of the heavy quarkonia with various quark contents are calculated. It is found that binding mass of the quarkonium decreases as temperature increases.

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

Advances in High Energy Physics ◽

10.1155/2018/7356843 ◽

2018 ◽

Vol 2018 ◽

pp. 1-12 ◽

Cited By ~ 4

Author(s):

M. Abu-Shady ◽

T. A. Abdel-Karim ◽

E. M. Khokha

Keyword(s):

Finite Temperature ◽

Chemical Potential ◽

Dimensional Space ◽

Three Dimensional ◽

Binding Energies ◽

Heavy Quarkonia ◽

Energy Eigenvalues ◽

Cornell Potential ◽

Radial Schrödinger Equation ◽

Three Dimensional Space

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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Effects of the hyperscaling violation and dynamical exponents on the imaginary potential and entropic force of heavy quarkonium via holography

The European Physical Journal C ◽

10.1140/epjc/s10052-021-09537-3 ◽

2021 ◽

Vol 81 (8) ◽

Author(s):

M. Kioumarsipour ◽

J. Sadeghi

Keyword(s):

Finite Temperature ◽

Chemical Potential ◽

Heavy Quarkonia ◽

Heavy Quarkonium ◽

Entropic Force ◽

Dynamical Exponent ◽

Strongly Coupled ◽

Imaginary Potential ◽

Dynamical Exponents ◽

Hyperscaling Violation

AbstractThe imaginary potential and entropic force are two important different mechanisms to characterize the dissociation of heavy quarkonia. In this paper, we calculate these two quantities in strongly coupled theories with anisotropic Lifshitz scaling and hyperscaling violation exponent using holographic methods. We study how the results are affected by the hyperscaling violation parameter $$ \theta $$ θ and the dynamical exponent z at finite temperature and chemical potential. Also, we investigate the effect of the chemical potential on these quantities. As a result, we find that both mechanisms show the same results: the thermal width and the dissociation length decrease as the dynamical exponent and chemical potential increase or as the hyperscaling violating parameter decreases.

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