https://doi.org/10.1140/epjp/i2019-12927-0
Regular Article
Bohr Hamiltonian with trigonometric Pöschl-Teller potential in 
-unstable and -stable pictures
1
High Energy Physics and Astrophysics Laboratory, Department of Physics, Faculty of Sciences Semlalia, Cadi Ayyad University, P.O.B 2390, 40000, Marrakesh, Morocco
2
Department of Mathematics and Statistics, University of Texas at El Paso, El Paso, TX, USA
3
ESMAR, Faculty of Sciences, Mohammed V University, P.O.B 1014, Rabat, Morocco
* e-mail: oulne@uca.ac.ma
Received:
27
May
2019
Accepted:
12
August
2019
Published online:
19
November
2019
In this paper, we present an analytical solution for the Bohr Hamiltonian with the trigonometric Pöschl-Teller (PT) potential in the cases of -unstable nuclei and -stable axially symmetric prolate deformed ones with 
. The energy spectra and corresponding wave functions are derived by means of the asymptotic iteration method. In addition, B(E2) transition rates are calculated and compared with experimental data. Overall good agreement is obtained for inter and intra-band transitions within ground-state and 
bands. Our numerical results, particularly for transition rates are much closer to experimental ones in comparison with those obtained by Davidson and Kratzer potentials which are widely used in the litterature.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2019
