The nonrelativistic oscillator strength of a hyperbolic-type potential

We consider the D-dimensional Schrödinger equation under the hyperbolic potential V₀ (1-coth (αr)) +V₁ (1-coth (αr))². Using a Pekeris-type approximation, the approximate analytical solutions of the problem are obtained via the supersymmetric quantum mechanics. The behaviors of energy eigenvalues versus dimension are discussed for various quantum numbers. Useful expectation values as well as the oscillator strength are obtained.