Analytical Solution of Dirac-Morse Problem with Tensor Potential by Asymptotic Iteration Method

Authors

Khalid S. Alsadi, Physics Department, Faculty of Science, Taibah University, P.O. Box 30002, Madina 41481, Saudi ArabiaFollow

Author Country (or Countries)

Saudi Arabia

Abstract

In the present paper, we obtained an analytical solution of Dirac equation for modified Morse potential with tensor interaction term by similarity transformation and Asymptotic Iteration Method (AIM). The tensor potential is used to probe nuclear properties and provides a theoretical tool to study the degeneracy of the problem. Similarity transformation is able to convert the Dirac equation to a simple form applicable to the Asymptotic Iteration Method. Thus, the exact solution of the Dirac-Morse problem can be obtained by the systematic of AIM. Our results are compared with the results of other authors and a good agreement is obtained.

Recommended Citation

S. Alsadi, Khalid (2015) "Analytical Solution of Dirac-Morse Problem with Tensor Potential by Asymptotic Iteration Method," Applied Mathematics & Information Sciences: Vol. 09: Iss. 4, Article 31.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss4/31