Eur. Phys. J. Plus (2019) 134: 29
https://doi.org/10.1140/epjp/i2019-12421-9

Regular Article

Bound-state solutions of the Dirac equation for the Kratzer potential with pseudoscalar-Coulomb term

¹ Department of Physics Education, Hacettepe University, 06800, Ankara, Turkey
² Department of Physics, Middle East Technical University, 06800, Ankara, Turkey

^* e-mail: arda@hacettepe.edu.tr

Received: 2 May 2018
Accepted: 21 November 2018
Published online: 17 January 2019

Abstract

We present exact analytical solutions of the Dirac equation in (1 + 1) dimensions for the generalized Kratzer potential by taking the pseudoscalar interaction term as an attractive Coulomb potential. We study the problem for a particular (spin) symmetry of the Dirac Hamiltonian. After a qualitative analyse, we study the results for some special cases, such as the Dirac-Coulomb problem in the presence of pseudoscalar interaction, and the “pure” Coulomb problem by discussing some points about pseudospin and spin symmetries in one dimension. We also plot some figures representing the dependence of the energy on the quantum number, and potential parameters.