Dirac Equation with Unequal Scalar and Vector Potentials under Spin and Pseudospin Symmetry

Abstract

An approximate solution of the Dirac equation in the D-dimensional space is obtained under spin and pseudospin symmetry limits for the scalar and vector inversely quadratic Yukawa potential within the framework of parametric Nikiforov-Uvarov method using a suitable approximation scheme to the spin-orbit centrifugal term. The two components spinor of the wave function and their energy equations are fully obtained. Some numerical results are obtained for the energy level with various dimensions (D), quantum number (n), vector potential V0 and scalar potential S0 . The results obtained under spin symmetry using either V0 or S0 are equal to the results obtained usingV S 0 0  . But under the pseudospin symmetry, the results obtained using V0 or S0 are not equal to the results obtained usingV S 0 0  .