https://doi.org/10.1140/epjp/i2019-12574-5
Regular Article
The effect of deformation-dependent mass term on the Bohr model in the presence of rigidity parameter for Kratzer potential
1
Department of Physics, University of Zanjan, Zanjan, Iran
2
Department of Physics, Imam Hossein Comprehensive University, Tehran, Iran
* e-mail: eshgi54@gmail.com
Received:
13
November
2018
Accepted:
17
February
2019
Published online:
15
May
2019
In this work, we have solved the Bohr Hamiltonian with a deformation-dependent mass term in the presence of the free parameter 
by using the Nikiforov-Uvarov (NU) method. We have studied such Hamiltonian by employing the generalized Kratzer potential for the 
part of the total potential. While in 
-angular parts, we have used both axially symmetric prolate deformed nuclei and -unstable nuclei. The energy eigenvalues and the corresponding wave functions have been calculated to investigate the competition between -stable and -rigid (-unstable and -rigid) collective conditions. Also, the energy spectra and transition rates have been determined for some nuclei and compared with experimental data. Our results show good agreement with experimental data.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2019
