Bohr Hamiltonian with hyperbolic Pöschl-Teller potential for triaxial nuclei

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Abstract.

The Bohr Hamiltonian for the triaxial nuclei with Pöschl-Teller potential for the \(\beta\)-part and a harmonic oscillator around \(\gamma = \frac{\pi}{6}\) for the \(\gamma\)-part is solved. An approximate separation of the variables occurs when the potential has the form \(v(\beta,\gamma)=u(\beta)+v(\gamma)\). The \(\beta\)-part has been solved using the Nikiforov-Uvarov method. The total wave function has been derived and an expression for the total energy is represented. The electric quadrupole transition rates are evaluated. The spectra and B(E2) s are compared to the experimental data.

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© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Physics DepartmentShahrood University of TechnologyShahroodIran

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