Bohr Hamiltonian with Eckart potential for triaxial nuclei

Regular Article

Abstract.

In this paper, the Bohr Hamiltonian has been solved using the Eckart potential for the \( \beta\)-part and a harmonic oscillator for the \( \gamma\)-part of the Hamiltonian. The approximate separation of the variables has been possible by choosing the convenient form for the potential \( V(\beta,\gamma)\). Using the Nikiforov-Uvarov method the eigenvalues and eigenfunctions of the eigenequation for the \( \beta\)-part have been derived. An expression for the total energy of the levels has been represented.

Keywords

Atomic Nucleus Harmonic Oscillator Prolate Euler Angle Wigner Function 

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Copyright information

© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Physics DepartmentShahrood University of TechnologyShahroodIran

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