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

  • Nahid Soheibi
  • Mahdi EshghiEmail author
  • Mohsen Bigdeli
Regular Article

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.

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Copyright information

© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of PhysicsUniversity of ZanjanZanjanIran
  2. 2.Department of PhysicsImam Hossein Comprehensive UniversityTehranIran

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