Any l-state analytical solutions of the KleinGordon equation for the WoodsSaxon potential

Abstract

The radial part of the KleinGordon equation for the WoodsSaxon potential is solved. In our calculations, we have applied the NikiforovUvarov method by using the Pekeris approximation to the centrifugal potential for any l-states. The exact bound state energy eigenvalues and the corresponding eigenfunctions are obtained on the various values of the quantum numbers n and l. The nonrelativistic limit of the bound state energy spectrum was also found. © 2010 World Scientific Publishing Company.