The effect of deformation-dependent mass term on the Bohr model in the presence of rigidity parameter for Kratzer potential

Abstract

In this work, we have solved the Bohr Hamiltonian with a deformation-dependent mass term in the presence of the free parameter $ \chi$ by using the Nikiforov-Uvarov (NU) method. We have studied such Hamiltonian by employing the generalized Kratzer potential for the $ \beta$ part of the total potential. While in $ \gamma$ -angular parts, we have used both axially symmetric prolate deformed nuclei and $ \gamma$ -unstable nuclei. The energy eigenvalues and the corresponding wave functions have been calculated to investigate the competition between $ \gamma$ -stable and $ \gamma$ -rigid ( $ \gamma$ -unstable and $ \gamma$ -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.