Relativistic Energies and Scattering Phase Shifts for the Fermionic Particles Scattered by Hyperbolical Potential with the Pseudo(spin) Symmetry
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...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/1634717 |
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| author | K. J. Oyewumi O. J. Oluwadare |
| author_facet | K. J. Oyewumi O. J. Oluwadare |
| author_sort | K. J. Oyewumi |
| collection | DOAJ |
| description | 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 (Cps and Cs) and the spin-orbit quantum number κ affect scattering phase shifts significantly. |
| format | Article |
| id | doaj-art-a4b3621d059b4c19ba2c7644e451672b |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-a4b3621d059b4c19ba2c7644e451672b2025-02-03T01:10:47ZengWileyAdvances in High Energy Physics1687-73571687-73652017-01-01201710.1155/2017/16347171634717Relativistic Energies and Scattering Phase Shifts for the Fermionic Particles Scattered by Hyperbolical Potential with the Pseudo(spin) SymmetryK. J. Oyewumi0O. J. Oluwadare1Department of Physics, Federal University of Technology, Minna, Niger State, NigeriaDepartment of Physics, Federal University Oye-Ekiti, PMB 373, Ekiti State, NigeriaIn 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 (Cps and Cs) and the spin-orbit quantum number κ affect scattering phase shifts significantly.http://dx.doi.org/10.1155/2017/1634717 |
| spellingShingle | K. J. Oyewumi O. J. Oluwadare Relativistic Energies and Scattering Phase Shifts for the Fermionic Particles Scattered by Hyperbolical Potential with the Pseudo(spin) Symmetry Advances in High Energy Physics |
| title | Relativistic Energies and Scattering Phase Shifts for the Fermionic Particles Scattered by Hyperbolical Potential with the Pseudo(spin) Symmetry |
| title_full | Relativistic Energies and Scattering Phase Shifts for the Fermionic Particles Scattered by Hyperbolical Potential with the Pseudo(spin) Symmetry |
| title_fullStr | Relativistic Energies and Scattering Phase Shifts for the Fermionic Particles Scattered by Hyperbolical Potential with the Pseudo(spin) Symmetry |
| title_full_unstemmed | Relativistic Energies and Scattering Phase Shifts for the Fermionic Particles Scattered by Hyperbolical Potential with the Pseudo(spin) Symmetry |
| title_short | Relativistic Energies and Scattering Phase Shifts for the Fermionic Particles Scattered by Hyperbolical Potential with the Pseudo(spin) Symmetry |
| title_sort | relativistic energies and scattering phase shifts for the fermionic particles scattered by hyperbolical potential with the pseudo spin symmetry |
| url | http://dx.doi.org/10.1155/2017/1634717 |
| work_keys_str_mv | AT kjoyewumi relativisticenergiesandscatteringphaseshiftsforthefermionicparticlesscatteredbyhyperbolicalpotentialwiththepseudospinsymmetry AT ojoluwadare relativisticenergiesandscatteringphaseshiftsforthefermionicparticlesscatteredbyhyperbolicalpotentialwiththepseudospinsymmetry |