  We obtain the bound-state solutions of the radial Schr\"odinger equation (SE)
with the shifted Deng-Fan (sDF) oscillator potential in the frame of the
Nikiforov-Uvarov (NU) method and employing Pekeris-type approximation to deal
with the centrifugal term. The analytical expressions for the energy
eigenvalues and the corresponding wave functions are obtained in closed form
for arbitrary -state. The ro-vibrational energy levels for a few diatomic
molecules are also calculated. They are found to be in good agreement with
those ones previously obtained by the Morse potential.
