Research Information System
Applied and Computational Mathematics, vol.23, no.4, pp.437-461, 2024 (SCI-Expanded)
This article presents an analytical solution to the Dirac equations in bound states, focusing on spin and pseudospin symmetries within a combined potential of Manning-Rosen and Yukawa types, enhanced by a Coulomb tensor interaction. To address difficulties arising from the centrifugal aspect of the potential, we applied an approximation method. Using Nikiforov-Uvarov and supersymmetric quantum mechanics techniques, we derived the energy eigenvalues and the Dirac spinor components of the wave functions, finding that both methods produced consistent results. We also discuss the implications of our findings for specific potential cases relevant to other physical contexts. Our conclusions align with previous research, and we provide energy spectra for s-and ps-bound states across various levels, noting the influence of tensor coupling on the eigenstate degeneracies of the Dirac doublet. Finally, we outline the parameter space for bound states in relation to potential force constants within both symmetry limits.