Bohr Hamiltonian with trigonometric Pöschl-Teller potential in $ \gamma$-unstable and $ \gamma$-stable pictures

摘要: In this paper, we present an analytical solution for the Bohr Hamiltonian with trigonometric Poschl Teller (P.T) potential in cases of {\gamma} unstable nuclei and stable axially symmetric prolate deformed ones = 0. The energy spectra corresponding wave functions are derived by means asymptotic iteration method. addition, B(E2) transition rates calculated compared experimental data. Overall good agreement is obtained inter intra band transitions within ground state \b{eta} bands. Our numerical results, particularly much closer to comparison those Davidson Kratzer potentials which widely used literature.