Bohr Hamiltonian and the energy spectra of the triaxial nuclei

Regular Article

Abstract.

A Bohr Hamiltonian, with a potential including a displaced harmonic oscillator plus a Coulomb-like term and a centrifuge term for the \( \beta\)-part and a harmonic oscillator centered around \( \gamma= \frac{\pi}{6}\) for the \( \gamma\)-part, which can be approximately separated, has been solved for the \( \beta\)-part and \( \gamma\)-part. The part related to the collective \( \gamma\)-variable has been chosen in such a way that the model describes the triaxial nuclei. The eigenfunctions and eigenvalues of the energy have been obtained. An analytical expression for the total energy spectra is given.

Keywords

Angular Momentum Harmonic Oscillator Prolate Morse Potential Ground State Band 

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Copyright information

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

Authors and Affiliations

  1. 1.Physics DepartmentUniversity of ShahroodShahroodIran

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