- The Klein-Gordon equation for a recently proposed Yukawa-type potential is solved with any orbital quantum number l. In the equally mixed scalar-vector potential fields S(r) = +/- V (r), the approximate energy eigenvalues and their wave functions for a particle and anti-particle are obtained by means of the parametric Nikiforov-Uvarov method. The non-relativistic solutions are also investigated. It is found that the present analytical results are in exact agreement with the previous ones.
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