Table of Contents
ISRN High Energy Physics
Volume 2013, Article ID 310392, 6 pages
Research Article

Exact Solution of the Dirac Equation for the Yukawa Potential with Scalar and Vector Potentials and Tensor Interaction

1Department of Basic Science, Shahrood Branch, Islamic Azad University, Shahrood 36199-43189, Iran
2Physics Department, Shahrood University of Technology, P.O. Box 3619995161-316, Shahrood, Iran

Received 22 January 2013; Accepted 6 February 2013

Academic Editors: K. Cho and A. Koshelev

Copyright © 2013 Mona Azizi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We present exact solutions of the Dirac equation with Yukawa potential in the presence of a Coulomb-like tensor potential. For this goal we expand the Yukawa form of the nuclear potential in its mesonic clouds by using Taylor extension to the power of seventh and bring out its simple form. In order to obtain the energy eigenvalue and the corresponding wave functions in closed forms for this potential (with great powers and inverse exponent), we use ansatz method. We also regard the effects of spin-spin, spin-isospin, and isospin-isospin interactions on the relativistic energy spectra of nucleon. By using the obtained results, we have calculated the deuteron mass. The results of our model show that the deuteron spectrum is very close to the ones obtained in experiments.