Investigation of Bohr-Mottelson Hamiltonian in γ-rigid version with position dependent mass

In this paper, we consider the Bohr-Mottelson Hamiltonian in γ-rigid version with position dependent mass. The separation of variables has been done for the related wave equation. The obtained radial wave equation is solved for Kratzer potential. Then, the corresponding wave function, energy spectra and transition rates have been obtained for some nuclei. In addition, our results have been compared with experimental data.