GALILEAN COVARIANT DIRAC EQUATION WITH A WOODS–SAXON POTENTIAL-Reference-Cited by-同舟云学术

GALILEAN COVARIANT DIRAC EQUATION WITH A WOODS–SAXON POTENTIAL

Published:2013-12 Issue:12 Volume:22 Page:1350092
ISSN:0218-3013
Container-title:International Journal of Modern Physics E
language:en
Short-container-title:Int. J. Mod. Phys. E

Author:

OTHMAN A. A.¹²,DE MONTIGNY M.¹³,KHANNA F. C.¹⁴

Affiliation:

1. Theoretical Physics Institute, University of Alberta, Edmonton, Alberta, Canada T6G 2E1, Canada

2. Department of Physics, Faculty of Science, Taibah University, Al Madinah Al Munawwarah, Saudi Arabia

3. Faculté Saint-Jean, University of Alberta, Edmonton, Alberta, Canada T6C 4G9, Canada

4. TRIUMF, 4004 Westbrook Mall, Vancouver, British Columbia, Canada V6T 2A3, Canada

Abstract

We derive and solve the Galilean covariant Dirac equation, also called "Lévy-Leblond equation", for spin-½ particles in a Woods–Saxon potential. We obtain this wave equation with a Galilean covariant approach, which is based on a (4+1)-dimensional manifold with light-cone coordinates followed by a reduction to the (3+1)-dimensional Galilean space-time. We apply the Pekeris approximation and exploit the Nikiforov–Uvarov method to find the energy eigenvalues and eigenfunctions.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218301313500924

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