Kappa state solutions of Dirac-Hulthén and Dirac-Eckart problems with pseudospin and spin symmetry

Abstract

In this study, the analytical solutions of the Dirac equation have been presented for the Hulthén and Eckart potentials by applying an approximation to centrifugal-like term in the case of spin symmetry, ?(r)=C=constant, and pseudospin symmetry, ?(r)=C=constant, for any spin-orbit quantum number K. The energy eigenvalues and corresponding spinor wave functions are obtained in the closed-forms. © 2008 American Institute of Physics.