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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Bibliographic Details
Published inAdvances in High Energy Physics Vol. 2017; no. 2017; pp. 1 - 11-018
Main Authors Oyewumi, K. J., Oluwadare, O. J.
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Limiteds 01.01.2017
Hindawi Publishing Corporation
Hindawi
John Wiley & Sons, Inc
Hindawi Limited
Subjects
Approximation
Atoms & subatomic particles
Circadian rhythm
Constants
Formalism
Mathematical analysis
Phase shift
Physics
Quantum numbers
Radiation
Relativism
Scattering
Spectrum analysis
Studies
Symmetry
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Summary: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.
Bibliography:ObjectType-Article-1
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ISSN:1687-7357
1687-7365
DOI:10.1155/2017/1634717