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Systematical approach to the exact solution of the Dirac equation for a deformed form of the Woods-Saxon potential

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2006-10-27
Berkdemir, Cueneyt
Berkdemir, Ayse
Sever, Ramazan
The exact solution of the Dirac equation for a deformed form of the Woods Saxon potential is obtained for the s-wave relativistic energy spectrum. The energy eigenvalues and two-component spinor wavefunctions are derived analytically by using a systematical method which is called Nikiforov - Uvarov. It is seen that the energy eigenvalues and the wavefunctions strongly depend on the parameters of the potential. In addition, it is also shown that the non-relativistic limit can be reached easily and directly for a special case of the standard Woods - Saxon potential.