On the Solution of the Generalized Symmetric Woods-Saxon Potential in the Dirac Equation

Abstract

In this work, we present a solution to the Dirac equation that is coupled with vector and scalar generalized symmetric Woods-Saxon potential energy in one plus one space-time.  The chosen potential energy has a flexible structure to examine four different physical problems. The potential energy can be a barrier or well depend on being attractive or repulsive. Furthermore, the included surface effects can be attractive or repulsive. Therefore, in one class a potential barrier occurs with a pocket or an extra barrier nearby the effective radius. Similar effects occur in the potential well whether the surface effects are repulsive or attractive. Here we use the usual two-component approach. We obtain the solutions in hypergeometric function form.

Keywords

• Dirac equation,Scalar and vector potential energies,Generalized symmetric,Woods-Saxon potential energy

References

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