Pöschl–Teller Potential for γ-Unstable and γ-Stable Nuclei

In this work, we solve the Schrödinger equation associated with Bohr Hamiltonian for the γ-unstable and axially symmetric prolate deformed nuclei. Analytical expressions for spectra and wave functions are derived by means of asymptotic iteration method (AIM) using the Pöschl–Teller potential. The spectra and electromagnetic transition rates of some atomic nuclei are compared to the obtained results by Davidson potential and the experimental data.