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Bohr Hamiltonian with Hulthén plus ring-shaped potential for triaxial nuclei

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Abstract

In this paper, we solve the eigenvalues and eigenvectors problem with the Bohr collective Hamiltonian for triaxial nuclei. The β-part of the collective potential is taken to be equal to the Hulthén potential while the γ-part is defined by a new generalized potential obtained from a ring-shaped one. Analytical expressions for spectra and wave functions are derived by means of a recent version of the asymptotic iteration method and the usual approximations. The calculated energies and B(E2) transition rates are compared with experimental data and the available theoretical results in the literature.

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Authors and Affiliations

  1. High Energy Physics and Astrophysics Laboratory, Department of Physics, Faculty of Sciences Semlalia, Cadi Ayyad University, P. O. B. 2390, 40000, Marrakesh, Morocco

    M. Chabab, A. Lahbas & M. Oulne

Authors
  1. M. Chabab
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  2. A. Lahbas
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  3. M. Oulne
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Correspondence to M. Oulne.

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Communicated by K. Yabana

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Chabab, M., Lahbas, A. & Oulne, M. Bohr Hamiltonian with Hulthén plus ring-shaped potential for triaxial nuclei. Eur. Phys. J. A 51, 131 (2015). https://doi.org/10.1140/epja/i2015-15131-y

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  • DOI: https://doi.org/10.1140/epja/i2015-15131-y

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