167 citations · 456 across the 39 of their papers we have counts for
42 papers
Approximate Bound State Solutions of the Fractional Schrödinger Equation under the Spin-Spin-Dependent Cornell Potential
M. Abu-Shady, E. Omugbe, E. P. Inyang
In this work, the approximate bound state solutions of the fractional Schrödinger equation under a spin-spin-dependent Cornell potential are obtained via the convectional Nikiforov…
Properties and Behaviors of Heavy Quarkonia: Insights Through Fractional Model and Topological Defects
M. Abu-shady, H. M. Fath-Allah
In this study, we investigated the impact of a topological defect on the properties of heavy quarkonia using the extended Cornell potential. We solved the fractional radial Schrodi…
On a Relativistic Quark Model Description via the Fractional Nikiforov-Uvarov Method
M. Abu-Shady, Mohammed K. A. Kaabar
The Dirac equation plays an essential role in the relativistic quantum systems, which is reduced to a form similar to Schrodinger equation when a certain potential's type is select…
The Parametric Generalized Fractional Nikiforov-Uvarov Method and Its Applications
M. Abu-shady, H. M. Fath-Allah
By using generalized fractional derivative, the parametric generalized fractional Nikiforov-Uvarov (NU) method is introduced. The second-order parametric generalized differential e…
Fractional Effective Quark-Antiquark Interaction in Symplectic Quantum Mechanics
M. Abu-Shady, Renato R. Luz, G. X. A. Petronilo +2
We investigate within the formalism of Symplectic Quantum Mechanics a two-dimensional non-relativistic strong interacting system that represents the bound heavy quark-antiquark sta…
Masses of Single, Double and Triple Heavy baryons in the Hyper-Central Quark Model by Using GF-AEIM
M. Abu-shady, H. M. Fath-Allah
In this paper, we calculate single, double and triple heavy baryons masses using hyper-central approach in the two cases. The first case, considering potential is a combination of…
The Generalized Fractional NU Method for the Diatomic Molecules in the Deng-Fan Model
M. Abu-Shady, E. M. Khokha, T. A. Abdel-Karim
A solution of the fractional N-dimensional radial Schrodinger equation with the Deng-Fan potential is investigated by the generalized fractional NU method. The analytical formulas…
A Generalized Definition of Fractional Derivative with Applications
M. Abu-Shady, M. K. A. Kaabar
A generalized fractional derivative (GFD) definition is proposed in this work. For a differentiable function that can be expanded by Taylor series, we show that D^Elafa*D^Beta f(t)…
Spectra of Heavy Quarkonia in a Magnetized-Hot Medium in the Framework of Fractional Non-relativistic Quark Model
M. Abu-shady, A. I. Ahmadov, H. M. Fath-Allah +1
In the fractional nonrelativistic potential model, the decomposition of heavy quarkonium in a hot magnetized medium is investigated. The analytical solution of the fractional radia…
The effect of strong magnetic field on heavy Quarkonia in a hot medium using Nikiforov-Uvarov Method
M. Abu-shady, H. M. Fath-Allah
Recent analyses show that it is possible to produce a strong magnetic field at a very early stage of ultrarelativistic heavy ion collisions (URHIC), therefore, the effect of homoge…
Radial dose distribution and effective delta ray radius (Penumbra radius): Determination for some ions passing through water
E. M. Awad a, M. Abu-Shady
An analytical equation for calculating radial dose of heavy ions in water is introduced by Awad et al. (Applied Radiation and Isotopes, 142 (2018) 135-142. It is simple alternative…
The Effect of Extended Cornell Potential on Heavy and Heavy-Light Meson Masses Using Series Method
M. Abu-shady, H. M. Fath-Allah
The effect of an extended Cornell potential on mass spectra of heavy and heavy-light mesons is studied. The Cornell potential is extended to include quadratic potential and inverse…
Quarkonium Masses in a hot QCD Medium Using Conformable Fractional of the Nikiforov-Uvarov Method
M. Abu-Shady
By using conformable fractional of the Nikiforov-Uvarov (CF-NU) method, the radial Schrodinger equation is analytically solved. The energy eigenvalues and corresponding functions a…
Dissociation of Nucleon and Heavy-Baryon in an Anisotropic Hot and Dense QCD Media Using Nikiforov-Uvarov Method
M. Abu-Shady, A. N. Ikot
By using the Nikiforov-Uvarov method, the hyper-radial Schrodinger equation is analytically solved, in which the real modified potential is employed at finite temperature and baryo…
Trigonometric Rosen-Morse Potential as the Quark-Antiquark Interaction Potential for Meson Properties in the Non-Relativistic Quark Model Using EAIM
M. Abu-Shady, Sh. Y. Ezz-Alarab
Trigonometric Rosen-Morse potential is suggested as the quark-antiquark interaction potential for studying the thermodynamic properties and the masses of heavy and heavy-light meso…
Effect of an External Magnetic Field on Some Statistical Properties of the 2+1 Dirac-Moshinsky Oscillator
A. S. -F. Obada, M. M. A. Ahmed, M. Abu-Shady +1
The 2+1 Dirac-Moshinsky oscillator ( 2+1 DMO ) is mapped into the generalized Jaynes-Cummings model (GJCM), in which an external magnetic field is coupled to an external isospin fi…
Inactivation cross section induced by heavy ions of different energies in Bacterial cells of E. coli: an analytical approach
E. M. Awada, M. Abu-Shady
An analytical inactivation cross section formula based on the analytical formula for calculating the radial dose distribution of Awad et al. (Awad et al., 2018) was proposed. The f…
Analytic Solution of Multi-Dimensional Schrodinger in Hot and Dense QCD Media Using SUSYQM Method
M. Abu-Shady, A. N. Ikot
The N-radial Schrödinger equation is analytically solved by using SUSYQM method, in which the heavy quarkonia potential is introduced at finite temperature and baryon chemical pote…
Masses and Thermodynamics Properties of Heavy Mesons in the Non-Relativistic Quark Model Using Nikiforov-Uvarov Method
M. Abu-Shady, T. A. Abdel-Karim, Sh. Y. Ezz-Alarab
Thermodynamics properties of heavy mesons are calculated within the framework of the N-dimensional radial Schrodinger equation. The Cornell potential is extended by including the q…
Mapping of the 2+1 Dirac-Moshinsky Oscillator Coupled to an External Isospin Field onto Jaynes-Cummings Model
A. S. -F. Obada, M. M. A. Ahmed, M. Abu-Shady +1
In this paper, the 2+1 Dirac-Moshinsky oscillator (2+1 DMO) coupled to an external isospin field is mapped onto the Jaynes-Cummings model (JCM), which describes the interaction bet…
Dissociation of Quarkonium in hot and Dense Media in an Anisotropic Plasma in the Non-Relativistic Quark Model
M. Abu-Shady, H. M. Mansour, A. I. Ahmadov
In this paper, quarkonium dissociation is investigated in an anisotropic plasma in the hot and dense media. For that purpose, the multidimensional Schrodinger equation is solved an…
Heavy-Light Mesons in the Non-Relativistic Quark Model Using Laplace Transformation Method
M. Abu-Shady, E. M. Khokha
An analytic solution of the N-dimensional radial Schrödinger equation with the mixture of vector and scalar potentials via the Laplace transformation method (LTM) is studied. The p…
Exact Solution of the N-dimensional Radial Schrödinger Equation via Laplace Transformation Method with the Generalized Cornell Potential
M. Abu-Shady, T. A. Abdel-Karim, E. M. Khokha
The exact solution of N- dimensional radial Schrödinger equation with the generalized Cornell potential has been obtained using the Laplace transformation (LT) method. The energy e…
Thermo-magnetic Effects in an External Magnetic Field in the Logarithmic-Quark Sigma Model
M. Abu-Shady
The phenomenon of magnetic catalysis of chiral symmetry breaking in the quantum chromodynamic theory in the framework of logarithmic quark sigma model is studied. Thermodynamic pro…