Bound state solutions of the Schrödinger equation for modified Kratzer's molecular potential

We present the arbitrary angular momentum solutions of the Schrödinger equation for a diatomic molecule with the modified Kratzer potential De[(r − re)/r]2. The bound state energy eigenvalues and the corresponding eigenfunctions are obtained by the use of the Nikiforov-Uvarov (NU) method which is related to the solutions in terms of Jacobi polynomials. The bound states are calculated for various values of ℓ with n ⩽ 5 and applied to several diatomic molecules. All of these calculations present an effective and methodological procedure under the NU method to investigate the Kratzer's molecular systems.