Kratzer potential is defined by
I read that the Schroedinger equation for this potential has an analytical solution in terms of hypergeometric functions. Most papers use SUSYQM or Asymptotic Iteration Methods, involving different approximation schemes. I believe there is some more direct way to express the solution in terms of hypergeometric functions,without any approximations as in the case or other similar potentials like Morse, Eckart, .etc, by some substitutions/ansatz, etc.? How can I proceed? Can anyone provide me some references for the same?