Systematical Approach to the Exact Solution of the Dirac Equation for A Special Form of the Woods-Saxon Potential

Details Systematical Approach to the Exact Solution of the Dirac Equation for A Special Form of the Woods-Saxon Potential Systematical Approach to the Exact Solution of the Dirac Equation for A Special Form of the Woods-Saxon Potential

2005-01-12

arxiv.org/abs/nucl-th/0501030v4

Physics

Nuclear Physics

Nuclear Theory

10 pages, no figures, submitted for Publication

Scientific paper

10.1088/0305-4470/39/43/005

Exact solution of the Dirac equation for a special form of the Woods-Saxon potential is obtained for the s-states. The energy eigenvalues and two-component spinor wave functions are derived by using a systematical method which is called as Nikiforov-Uvarov. It is seen that the energy eigenvalues strongly depend on the potential parameters. In addition, it is also shown that the non-relativistic limit can be reached easily and directly.

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