Seif, W. M., and A. M. H. Abdelhady, Chinese Physics C, 2020.
Seif, W. M., A. M. H. Abdelhady, and A. Adel, PHYSICAL REVIEW C, vol. 101, issue 6, pp. 064305, 2020.
Seif, W. M., A. M. H. Abdelhady, and A. Adel, Journal of Physics G: Nuclear and Particle Physics, vol. 45, no. 11, pp. 115101, 2018. AbstractWebsite

The change in the internal kinetic energy (KE) of two interacting nuclei grows by increasing their density overlap. We investigated to what extent the double-folding potential based on the density dependent M3Y nucleon–nucleon interaction can be improved by considering this repulsive KE. We adopted the α -decay of ##IMG## [http://ej.iop.org/images/0954-3899/45/11/115101/jpgaae3d4ieqn1.gif] {${}^{212}\mathrm{Po}$} , the 24 Ne decay of 232 U, and the ##IMG## [http://ej.iop.org/images/0954-3899/45/11/115101/jpgaae3d4ieqn2.gif] {${}^{16}{\rm{O}}+{}^{208}\mathrm{Pb}$} fusion cross section as examples of reactions involving density redistribution. We performed the α and cluster decay calculations based on solving the Schrödinger equation to find the wavefunction and the penetration probability. Upon normalizing the calculated KE by applying the Bohr–Sommerfeld quantization condition, the necessary missed pocket is physically developed in the internal region of the total folding potential. The folding potential improved by considering the pivotal repulsive KE reduced the uncertainty inherent in the decay calculations at small internuclear distances. The calculated fusion cross section is substantially improved and its steep falloff at sub-barrier energies is reasonably reproduced.

ABDELHADY, A. M. H. H., and H. WEIGEL, International Journal of Modern Physics A, vol. 26, no. 21, pp. 3625-3640, 2011. AbstractWebsite

We investigate the propagation of a wave-packet in the ϕ4 model. We solve the time-dependent equation of motion for two distinct initial conditions: The wave-packet in a trivial vacuum background and in the background of the kink soliton solution. We extract the scattering matrix from the wave-packet in the kink background at very late times and compare it with the result from static potential scattering in the small amplitude approximation. We vary the size of the initial wave-packet to identify nonlinear effects as, for example, the replacement of the center of the kink.

ABDELHADY, A. M. H. H., and H. WEIGEL, Scattering in soliton models and crossing symmetry, , 2011.
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