Approximate Analytical Solutions of the Dirac Equation for Yukawa Potential Plus Tensor Interaction with Any kappa-Value

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Arda A., Sever R.

FEW-BODY SYSTEMS, vol.54, no.11, pp.1829-1837, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 54 Issue: 11
  • Publication Date: 2013
  • Doi Number: 10.1007/s00601-012-0509-9
  • Journal Name: FEW-BODY SYSTEMS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1829-1837
  • Middle East Technical University Affiliated: Yes

Abstract

Approximate analytical solutions of the Dirac equation are obtained for the Yukawa potential plus a tensor interaction with any kappa-value for the cases having the Dirac equation pseudospin and spin symmetry. The potential describing tensor interaction has a Yukawa-like form. Closed forms of the energy eigenvalue equations and the spinor wave functions are computed by using the Nikiforov-Uvarov method. It is observed that the energy eigenvalue equations are consistent with the ones obtained before. Our numerical results are also listed to see the effect of the tensor interaction on the bound states.