  The Yukawa potential is often used to compute bound-state normalizations and
energy levels of neutral atoms. By using the generalized parametric
Nikiforov-Uvarov (NU) method, we have obtained the approximate analytical
solutions of the radial Schr\"odinger equation (SE) for the Yukawa potential.
The energy eigenvalues and corresponding eigenfunctions are calculated in
closed forms. Some numerical results are presented and showed that these
results are in good agreement with those are obtained previously by other
methods. Also, we found the energy levels of the familiar pure Coulomb
potential energy levels when the screening parameter of the Yukawa potential
goes to zero.
