  We obtain analytical solutions of the two-body spinless Salpeter (SS)
equation with Yukawa potential within the conventional approximation scheme to
the centrifugal term for any -state. The semi-relativistic bound state energy
spectra and the corresponding normalized wave functions are calculated by means
of the Nikiforov-Uvarov (NU) method. We also obtain the numerical energy
spectrum of the SS equation without any approximation to centrifugal term for
the same potential and compare them with the approximated numerical ones
obtained from the analytical expressions. It is found that the exact numerical
results are in good agreement with the approximated ones for the lower energy
states. Special cases are treated like the nonrelativistic limit and the
solution for the Coulomb problem.
