Path integral treatment of the deformed Schioeberg-type potential for some diatomic molecules

The bound state solution of the Feynman propagator with the deformed generalized Schioeberg potential is determined using an approximation of the centrifugal term. The energy eigenvalue expression is computed using Duru-Kleinert space-time transformation for both positive and negative deformation parameters of diatomic molecules. Besides, the rotation-vibration energy eigenvalues are numerically calculated for some diatomic molecules and compared with those given in the literature. The obtained results are in agreement with those given by state-of-the-art approximate and numerical methods. (author)