Approximate analytical solutions of arbitrary ι-wave bound states for the ring-shaped-like Hulthen potential

A ring-shaped-like Hulthen potential where Hulthen potential is surrounded by ring-shaped-like inversed square potential is proposed in this paper. By using the analytical method of function, the exact bound state solutions of Schrodinger equation to the ring-shaped-like Hulthen potential are presented within the framework of an exponential approximation of the centrifugal potential for arbitrary ι-states. The normalized angular and radial wave function expressed in terms of Jacobi polynomials are presented. The energy spectrum equations are obtained. The wave function and energy spectrum equations of the system are related to three quantum numbers and parameters of ring-shaped-like Hulthen potential. The energy spectrum equations of Hulthen, Hartmann and Makarov potentials are the special cases of the ring-shaped-like Hulthen potential. (authors)