The effect of deformation-dependent mass term on the Bohr model in the presence of rigidity parameter for Kratzer potential
Department of Physics, University of Zanjan, Zanjan, Iran
2 Department of Physics, Imam Hossein Comprehensive University, Tehran, Iran
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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