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Advances in High Energy Physics
Volume 2017, Article ID 1634717, 11 pages
https://doi.org/10.1155/2017/1634717
Research Article

Relativistic Energies and Scattering Phase Shifts for the Fermionic Particles Scattered by Hyperbolical Potential with the Pseudo(spin) Symmetry

1Department of Physics, Federal University of Technology, Minna, Niger State, Nigeria
2Department of Physics, Federal University Oye-Ekiti, PMB 373, Ekiti State, Nigeria

Correspondence should be addressed to O. J. Oluwadare; gn.ude.eyouf@eradawulo.nihelimitawulo

Received 20 November 2016; Revised 19 December 2016; Accepted 10 January 2017; Published 5 February 2017

Academic Editor: Edward Sarkisyan-Grinbaum

Copyright © 2017 K. J. Oyewumi and O. J. Oluwadare. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Abstract

In this paper, we studied the approximate scattering state solutions of the Dirac equation with the hyperbolical potential with pseudospin and spin symmetries. By applying an improved Greene-Aldrich approximation scheme within the formalism of functional analytical method, we obtained the spin-orbit quantum numbers dependent scattering phase shifts for the spin and pseudospin symmetries. The normalization constants, lower and upper radial spinor for the two symmetries, and the relativistic energy spectra were presented. Our results reveal that both the symmetry constants ( and ) and the spin-orbit quantum number affect scattering phase shifts significantly.