Approximate analytical solutions of the generalized Woods-Saxon potentials including the spin-orbit coupling term and spin symmetry

Abstract

We study the approximate analytical solutions of the Dirac equation for the generalized Woods-Saxon potential with the pseudo-centrifugal term. In the framework of the spin and pseudospin symmetry concept, the approximately analytical bound state energy eigenvalues and the corresponding upper- and lower-spinor components of the two Dirac particles are obtained, in closed form, by means of the Nikiforov-Uvarov method which is based on solving the second-order linear differential equation by reducing it to a generalized equation of hypergeometric type. The special cases $\kappa =\pm 1$ ($l=$ s-wave) and the non-relativistic limit can be reached easily and directly for the generalized and standard Woods-Saxon potentials. Also, the non-relativistic results are compared with the other works.

25 pages

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Cited by in corpus (20)

• An approximate κ state solutions of the Dirac equation for the generalized Morse potential under spin and pseudospin symmetry
• On the bound-state solutions of the Manning-Rosen potential including improved approximation to the orbital centrifugal term
• Rotational and vibrational diatomic molecule in the Klein-Gordon equation with hyperbolic scalar and vector potentials
• Approximate solutions of the Dirac equation for the Rosen-Morse potential including the spin-orbit centrifugal term
• Two approximations to the bound states of Dirac-Hulthen problem
• Approximate k-state solutions to the Dirac-Yukawa problem based on the spin and pseudospin symmetry
• Spin and pseudospin symmetry along with orbital dependency of the Dirac-Hulthen problem
• Relativistic and nonrelativistic bound states of the isotonic oscillator by Nikiforov-Uvarov method
• Exact Solution of Dirac Equation with Charged Harmonic Oscillator in Electric Field: Bound States
• Any l-state solutions of the Woods-Saxon potential in arbitrary dimensions within the new improved quantization rule
• Approximated l-states of the Manning-Rosen potential by Nikiforov-Uvarov method
• Approximate bound states of the Dirac equation with some physical quantum potentials
• Corrected Analytical Solution of the Generalized Woods-Saxon Potential for Arbitrary $\ell$ States
• Approximate relativistic bound state solutions of the Tietz-Hua rotating oscillator for any -state
• Any J-state solution of the DKP equation for a vector deformed Woods-Saxon potential
• Approximate Dirac solutions of complex -symmetric Pöschl-Teller potential in view of spin and pseudospin symmetries
• The Fractional Schrodinger Equation with the Generalized Woods-Saxon Potential
• Approximate bound state solutions of Dirac equation with Hulthén potential including Coulomb-like tensor potential
• Analytic l-state solutions of the Klein-Gordon equation for q-deformed Woods-Saxon plus generalized ring shape potential
• Solutions of the spatially-dependent mass Dirac equation with the spin and pseudo-spin symmetry for the Coulomb-like potential