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Bohr Hamiltonian with Hulthén plus ring-shaped potential for triaxial nuclei with Deformation-Dependent Mass term

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Abstract

In this work, we present a new version of the Bohr collective Hamiltonian for triaxial nuclei within deformation-dependent mass formalism (DDM) using the Hulthén potential. We shall call the developed model Z(5)-HD. Analytical expressions for energy spectra are derived by means of the recent version of the asymptotic iteration method. The calculated numerical results of energies and B(E2) transition rates are compared with the experimental data, and several theoretical results from Z(5) model, the model Z(5)-H using the Hulthén potential without DDM formalism as well as theoretical predictions of Z(5)-DD model with Davidson potential using DDM formalism. The obtained results show an overall agreement with experimental data and an important improvement in respect to the other models.

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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, Marrakesh, 40000, Morocco

    A. Adahchour, S. Ait El Korchi, A. El Batoul, A. Lahbas & M. Oulne

  2. ESMaR, Department of Physics, Faculty of Sciences, Mohammed V University in Rabat, Rabat, Morocco

    A. Lahbas

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  1. A. Adahchour
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  2. S. Ait El Korchi
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  3. A. El Batoul
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  4. A. Lahbas
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  5. M. Oulne
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Correspondence to M. Oulne.

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Adahchour, A., Korchi, S.A.E., Batoul, A.E. et al. Bohr Hamiltonian with Hulthén plus ring-shaped potential for triaxial nuclei with Deformation-Dependent Mass term. Eur. Phys. J. Plus 135, 586 (2020). https://doi.org/10.1140/epjp/s13360-020-00586-3

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