Pseudospin and spin symmetry in the Dirac equation with Woods-Saxon potential and tensor potential

Date

2010-01-01

Author

AYDOĞDU, OKTAY
Sever, Ramazan

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The Dirac equation is solved approximately for the Woods-Saxon potential and a tensor potential with the arbitrary spin-orbit coupling quantum number kappa under pseudospin and spin symmetry. The energy eigenvalues and the Dirac spinors are obtained in terms of hypergeometric functions. The energy eigenvalues are calculated numerically.

Subject Keywords

States, Nuclei

URI

https://hdl.handle.net/11511/62449

Journal

EUROPEAN PHYSICAL JOURNAL A

DOI

https://doi.org/10.1140/epja/i2009-10890-6

Collections

Department of Physics, Article

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Exact Pseudospin Symmetric Solution of the Dirac Equation for Pseudoharmonic Potential in the Presence of Tensor Potential AYDOĞDU, OKTAY; Sever, Ramazan (Springer Science and Business Media LLC, 2010-04-01) Under the pseudospin symmetry, we obtain exact solution of the Dirac equation for the pseudoharmonic potential in the presence of the tensor potential with arbitrary spin-orbit coupling quantum number kappa. The energy eigenvalue equation of the Dirac particles is found and the corresponding radial wave functions are presented in terms of confluent hypergeometric functions. We investigate the tensor potential dependence of the energy of the each state in the pseudospin doublet. It is shown that degeneracy b...
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Pseudospin symmetry and its applications Aydoğdu, Oktay; Sever, Ramazan; Department of Physics (2009) The pseudospin symmetry concept is investigated by solving the Dirac equation for the exactly solvable potentials such as pseudoharmonic potential, Mie-type potential, Woods-Saxon potential and Hulthén plus ring-shaped potential with any spin-orbit coupling term $\kappa$. Nikiforov-Uvarov Method, Asymptotic Iteration Method and functional analysis method are used in the calculations. The energy eigenvalue equations of the Dirac particles are found and the corresponding radial wave functions are presented in...

Citation Formats

O. AYDOĞDU and R. Sever, “Pseudospin and spin symmetry in the Dirac equation with Woods-Saxon potential and tensor potential,” EUROPEAN PHYSICAL JOURNAL A, pp. 73–81, 2010, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62449.