The Optical Model Absorption Term in the Frame of Fractional Derivatives Ibrahim Ghabar, Aliaa Burqan, Gharib Gharib Atoms, 2024 The complex optical model has been widely used to describe the elastic scattering of the nucleon–nucleus. The imaginary term of the optical potential takes into account the non-elastic scattering processes. This term was taken to be a Woods–Saxon form factor or its derivative to simulate the volume absorption or the absorption localized at the surface of the target, respectively. In this study, a fractional derivative of the Woods–Saxon potential with 0<α<1 was used, where α=0 and α=1 give the volume and the surface absorption form factor, respectively.
Using Laplace Residual Power Series Method in Solving Coupled Fractional Neutron Diffusion Equations with Delayed Neutrons System Mohammed Shqair, Ibrahim Ghabar, Aliaa Burqan Fractal and Fractional, 2023 In this paper, a system of coupled fractional neutron diffusion equations with delayed neutrons was solved efficiently by using a combination of residual power series and Laplace transform techniques, and the anomalous diffusion was considered by taking the non-Gaussian case with different values of fractional parameter α. The Laplace residual power series method (LRPSM) does not require differentiation, conversion, or discretization for the assumed conditions, so the approach is simple and suitable for solving higher-order fractional differential equations. To assure the theoretical results, two different neutron flux initial conditions were presented numerically, where the needed Mathematica codes were performed using essential nuclear reactor cross-section data, and the results for different values of times were tabulated and graphically figured out. Finally, it must be noted that the results align with the Adomian decomposition method.
A solution for the neutron diffusion equation in the spherical and hemispherical reactors using the residual power series Ahmad El-Ajou, Mohammed Shqair, Ibrahim Ghabar, Aliaa Burqan, Rania Saadeh Frontiers in Physics, 2023 A novel analytical solution to the neutron diffusion equation is proposed in this study using the residual power series approach for both spherical and hemispherical fissile material reactors. Various boundary conditions are investigated, including zero flux on the boundary, zero flux on the extrapolated boundary distance, and the radiation boundary condition (RBC). The study also shows how two hemispheres with opposing flat faces interact. We give numerical results for the same energy neutrons diffused in pure P239u. By qualitative comparison with the homotopy perturbation method and Bessel function-based solutions, the residual power series method (RPSM) presents accurate series solutions that converge to the exact solutions, as shown in this study. Moreover, numerical results were shown to be improved by the computer implementation of the analytic solutions.
Nucleon-nucleus velocity-dependent optical model: Revisited Sajedah Alameer, M I Jaghoub, I Ghabar Journal of Physics G Nuclear and Particle Physics, 2022 In this work we study nucleon-nucleus elastic scattering using a nonlocal, velocity-dependent optical potential. The potential parameters are determined by fitting elastic angular distributions and polarization data for nucleon scattering off a wide range of nuclei falling in the mass range 12 ⩽ A ⩽ 208 and over the energy range 10–60 MeV. Our potential parameters lead to smoothly varying local equivalent potentials and, unlike previous works, the potential depths corresponding to the real volume, imaginary surface, and imaginary volume terms show systematic linear dependences on energy. In addition, for each nuclear target, we determined constant sets of geometric parameters. Including the polarization data in the fitting procedure helped in reducing the large variations in the depths of the spin–orbit term. Our best-fit angular distributions and polarization data are in very good agreement with measured data, and are either as good as the cross sections obtained with widely-used systematics or better.
Investigation of structural, electronics, and optical characteristics of cubic SrZr 1− x Ru x O 3 perovskites: first-principles study SM Al Azar, AY Al-Reyahi, AA Mousa, SS Essaoud, RS Masharfe, ... The European Physical Journal Plus 140 (6), 510 , 2025 2025 Citations: 5
A Semi-Analytical Technique for Solving the Time-Fractional Kaup-Kupershmidt Equation I Ghabar, A Burqan, A Al-Natoor 2025
The Optical Model Absorption Term in the Frame of Fractional Derivatives I Ghabar, A Burqan, G Gharib Atoms 12 (7), 37 , 2024 2024
Density and energy dependent semi-microscopic optical potential of nucleon–nucleus elastic scattering I Ghabar Results in Physics 60, 107663 , 2024 2024 Citations: 1
Preparation and optoelectronic performance of 2, 7, 12, 17-tetra-tert-butyl-5, 10, 15, 20-tetraaza-21H, 23H-porphine-CuS films for photovoltaic applications SI Qashou, AAA Darwish, I Ghabar Dyes and Pigments 218, 111452 , 2023 2023 Citations: 2
A solution for the neutron diffusion equation in the spherical and hemispherical reactors using the residual power series A El-Ajou, M Shqair, I Ghabar, A Burqan, R Saadeh Frontiers in Physics 11, 1229142 , 2023 2023 Citations: 22
Velocity dependent potential for alpha 40Ca-elastic scattering I Ghabar Results in Physics 47, 106335 , 2023 2023 Citations: 4
Using Laplace residual power series method in solving coupled fractional neutron diffusion equations with delayed neutrons system M Shqair, I Ghabar, A Burqan Fractal and Fractional 7 (3), 219 , 2023 2023 Citations: 14
Nucleon-nucleus velocity-dependent optical model: revisited S Alameer, MI Jaghoub, I Ghabar Journal of Physics G: Nuclear and Particle Physics 49 (1), 015106 , 2022 2022 Citations: 17
Velocity-dependent optical potential for neutron elastic scattering from -shell nuclei IN Ghabar, MI Jaghoub Physical Review C 91 (6), 064308 , 2015 2015 Citations: 22
MOST CITED SCHOLAR PUBLICATIONS
A solution for the neutron diffusion equation in the spherical and hemispherical reactors using the residual power series A El-Ajou, M Shqair, I Ghabar, A Burqan, R Saadeh Frontiers in Physics 11, 1229142 , 2023 2023 Citations: 22
Velocity-dependent optical potential for neutron elastic scattering from -shell nuclei IN Ghabar, MI Jaghoub Physical Review C 91 (6), 064308 , 2015 2015 Citations: 22
Nucleon-nucleus velocity-dependent optical model: revisited S Alameer, MI Jaghoub, I Ghabar Journal of Physics G: Nuclear and Particle Physics 49 (1), 015106 , 2022 2022 Citations: 17
Using Laplace residual power series method in solving coupled fractional neutron diffusion equations with delayed neutrons system M Shqair, I Ghabar, A Burqan Fractal and Fractional 7 (3), 219 , 2023 2023 Citations: 14
Investigation of structural, electronics, and optical characteristics of cubic SrZr 1− x Ru x O 3 perovskites: first-principles study SM Al Azar, AY Al-Reyahi, AA Mousa, SS Essaoud, RS Masharfe, ... The European Physical Journal Plus 140 (6), 510 , 2025 2025 Citations: 5
Velocity dependent potential for alpha 40Ca-elastic scattering I Ghabar Results in Physics 47, 106335 , 2023 2023 Citations: 4
Preparation and optoelectronic performance of 2, 7, 12, 17-tetra-tert-butyl-5, 10, 15, 20-tetraaza-21H, 23H-porphine-CuS films for photovoltaic applications SI Qashou, AAA Darwish, I Ghabar Dyes and Pigments 218, 111452 , 2023 2023 Citations: 2
Density and energy dependent semi-microscopic optical potential of nucleon–nucleus elastic scattering I Ghabar Results in Physics 60, 107663 , 2024 2024 Citations: 1
A Semi-Analytical Technique for Solving the Time-Fractional Kaup-Kupershmidt Equation I Ghabar, A Burqan, A Al-Natoor 2025
The Optical Model Absorption Term in the Frame of Fractional Derivatives I Ghabar, A Burqan, G Gharib Atoms 12 (7), 37 , 2024 2024
