Melting of quarkonium in an anisotropic hot QCD medium in the presence of a generalized Debye screening mass and Nikiforov–Uvarov’s method

Abu‐Shady, M.; Fathallah, Hamdi

doi:10.1142/s0217751x20501109

Cited by 9 publications

(13 citation statements)

References 49 publications

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“…And (11) is -th degree polynomial, is constant. It is feasible to identify the quantities of in the squareroot of Eq.…”

Section: ‾ √ ( ‾ ) ‾mentioning

confidence: 99%

“…The generalized fractional derivative (GFD), a thorough kind of fractional derivative with more properties than prior definitions was proposed by Abu-Shady and Kaabar [9]. A significant challenge in quantum mechanics and particle physics is how to solve the Schrödinger equation (SE) in order to investigate a physical system [10,11,12]. The hypercentral Schrödinger has been solved using the generalized fractional analytical iteration approach, as described in Ref.…”

Section: Introductionmentioning

confidence: 99%

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Masses and thermodynamic properties of heavy mesons in the non-relativistic quark model using the Nikiforov–Uvarov method

2019

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Thermodynamics properties of heavy mesons are calculated within the framework of the N-dimensional radial Schr ̈dinger equation. The Cornell potential is extended by including the quadratic potential plus the inverse of quadratic potential. The energy eigenvalues and the corresponding wave functions are calculated in the N-dimensional space using the Nikiforov-Uvarov (NV) method. The obtained results are applied for calculating the mass of spectra of charmonium, bottomonium, b ̅ and c ̅ mesons. The thermodynamics properties of heavy quarkonia such as, the mean energy, specific heat, free energy, and entropy are calculated. The effect of temperature and the dimensionality number on heavy mesons masses and thermodynamics properties is investigated. The obtained results are improved in comparison with other theoretical approaches and in a good agreement with experimental data. We conclude that the present potential well describes thermodynamic properties in the three-dimensional space and also the higher dimensional space.

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“…And (11) is -th degree polynomial, is constant. It is feasible to identify the quantities of in the squareroot of Eq.…”

Section: ‾ √ ( ‾ ) ‾mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Masses and thermodynamic properties of heavy mesons in the non-relativistic quark model using the Nikiforov–Uvarov method

2019

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“…These momentum-space anisotropies can continue for a very long period and can be rather significant depending on the strength of the shear viscosity, especially early on or close to the plasma's edges. This holds true for both strong and weak coupling shear viscosity levels, and increasing viscosity causes maximum momentum-space anisotropies to grow [10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 84%

“…However, we are restricted to a plasma which is very much close to equilibrium because that ξ ≤ 1, by the time quarkonium states are formed in the plasma around (1 − 2) T c , the plasma becomes almost isotropized at θ parallel to n. In addition, recently a novel magnetic field-induced anisotropic behavior was first observed in the heavy quark potential in the longitudinaltraverse plane with respect to the direction of B, in which the radial Shrödinger equation with anisotropic potential is solved on the two cases as in Refs. [3,13].…”

Section: The Particle Momentum Is Longitudinal the Direction Of Aniso...mentioning

confidence: 99%

Studying quarkonium in the anisotropic hot-dense quark-gluon plasma medium in the framework of generalized fractional derivative

Abu‐Shady

2023

Rev. Mex. Fís.

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By applying the generalized fractional-Nikiforov-Uvarov (GF-NU) approach, the radial Schrodinger equation is analytically solved. The energy eigenvalues and associated functions are calculated by extending the interaction potential to an anisotropic hot-dense QCD medium. For heavy quarkonium masses like charmonium and bottomonium, the special cases of the mass of quarkonium are obtained at α=β=1. The effect of the fraction parameter is investigated within the context of the QCD medium on binding energy and dissociation temperature when baryonic chemical potential is included. Recent works are compared and studied. Therefore, the fractional quark model correctly represents heavy mesons in an anisotropic hot-dense QCD medium, according to the current findings.

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“…Since the higher dimension studies aid in a broad approach to the problem, allowing the desired outcomes in the lower dimensions to be obtained directly by selecting appropriate with N . Therefore, a wide number of works [55][56][57][58][59][60][61][62][63][64][65][66] have been reported to derive the energy spectra of SE solutions in N -dimensional space.…”

Section: Introductionmentioning

confidence: 99%

The generalized fractional NU method for the diatomic molecules in the Deng–Fan model

2022

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A solution of the fractional N-dimensional radial Schrödinger equation (SE) with the Deng–Fan potential (DFP) is investigated by the generalized fractional Nikiforov–Uvarov (NU) method. The analytical formulas of energy eigenvalues and corresponding eigenfunctions for the DFP are generated. Furthermore, the current results are applied to several diatomic molecules (DMs) for the DFP as well as the shifted Deng–Fan potential (SDFP). For both the DFP and its shifted potential, the effect of the fractional parameter ($${\delta }$$ δ ) on the energy levels of various DMs is examined numerically and graphically. We found that the energy eigenvalues are gradually improved when the fractional parameter increases. The energy spectra of various DMs are also evaluated in three-dimensional space and higher dimensions. It is worthy to note that the energy spectrum raises as the number of dimensions increases. In addition, the dependence of the energy spectra of the DFP and its shifted potential on the reduced mass, screening parameter, equilibrium bond length and rotational and vibrational quantum numbers is illustrated. To validate our findings, the energy levels of the DFP and SDFP are estimated at the classical case ($${\delta =1}$$ δ = 1 ) for various DMs and found that they are entirely compatible with earlier studies. Graphical abstract In this study, a new algorithm of the generalized fractional Nikiforov–Uvarov method is employed to obtain new solutions to the fractional N-dimensional radial Schrödinger equation with the Deng–Fan potential. In addition, the results are applied to several diatomic molecules. The impact of the fractional parameter on the energy levels of various diatomic molecules is investigated. We found that the energy of the diatomic molecule is more bounded at lower fractional parameter values than in the classical case.

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Melting of quarkonium in an anisotropic hot QCD medium in the presence of a generalized Debye screening mass and Nikiforov–Uvarov’s method

Cited by 9 publications

References 49 publications

Masses and thermodynamic properties of heavy mesons in the non-relativistic quark model using the Nikiforov–Uvarov method

Masses and thermodynamic properties of heavy mesons in the non-relativistic quark model using the Nikiforov–Uvarov method

Studying quarkonium in the anisotropic hot-dense quark-gluon plasma medium in the framework of generalized fractional derivative

The generalized fractional NU method for the diatomic molecules in the Deng–Fan model

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