Continuous states for a relativistic problem plus tensor coupling in D-dimensional space

In this research, a relativistic particle scattering was investigated for particles with spin 1/2 in a hyperbolic potential including Coulomb-like tensor interaction in D -dimensional space. By using the Greene and Aldrich approximately, we presented solutions of the Dirac equation with this potenti...

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Bibliographic Details
Published in:Journal of the Korean Physical Society 2015, 67(7), , pp.1118-1126
Main Authors: Eshghi, Mahdi, Mehraban, Hosein
Format: Article
Language:English
Subjects:
Mathematical and Computational Physics
Particle and Nuclear Physics
Physics
Physics and Astronomy
Theoretical
물리학
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Summary:In this research, a relativistic particle scattering was investigated for particles with spin 1/2 in a hyperbolic potential including Coulomb-like tensor interaction in D -dimensional space. By using the Greene and Aldrich approximately, we presented solutions of the Dirac equation with this potential for any spin-orbit quantum number κ under spin symmetry. The normalized wave functions are expressed in terms of the hyper geometric series of continuous states on the k / 2π scale. Also, the formula for the phase shifts is calculated. Some of the thermodynamics properties of a system Dirac electrons are also discussed.
ISSN:0374-4884
1976-8524
DOI:10.3938/jkps.67.1118