Approximate Analytical Solutions of the Pseudospin Symmetric Dirac Equation for Exponential-type Potentials

Abstract

The solvability of The Dirac equation is studied for the exponential-type potentials with the pseudospin symmetry by using the parametric generalization of the Nikiforov-Uvarov method. The energy eigenvalue equation, and the corresponding Dirac spinors for Morse, Hulthen, and q-deformed Rosen-Morse potentials are obtained within the framework of an approximation to the spin-orbit coupling term, so the solutions are given for any value of the spin-orbit quantum number $\kappa =0$, or $\kappa \ne 0$.

16 pages

References in corpus (5)

• Pseudospin symmetry and the relativistic harmonic oscillator
• Relating pseudospin and spin symmetries through charge conjugation and chiral transformations: the case of the relativistic harmonic oscillator
• Energy spectrum of the relativistic Dirac-Morse problem
• Consequences of a Relativistic Pseudospin Symmetry for Radial Nodes and Intruder Levels in Nuclei
• Solution of the relativistic Dirac-Hulthen problem

Cited by in corpus (2)

• Scattering and bound states of fermions in a mixed vector-scalar smooth step potential
• Unsuitable use of spin and pseudospin symmetries with a pseudoscalar Cornell potential