Bohr Hamiltonian with Hulth\'en plus ring-shaped potential for triaxial nuclei with deformation-dependent mass term

A. Adahchour; S. Ait El Korchi; A. El Batoul; A. Lahbass; M. Oulne

Bohr Hamiltonian with Hulth\'en plus ring-shaped potential for triaxial nuclei with deformation-dependent mass term

Nuclear Theory 2020-01-29 v1

Authors: A. Adahchour , S. Ait El Korchi , A. El Batoul , A. Lahbass , M. Oulne

Abstract

In this work, we solve the eigenvalues problem with the Bohr collective Hamiltonian for triaxial nuclei within Deformation-Dependent Mass formalism (DDM) using the Hulth\'en potential. We shall call the solution developed here Z(5)-HDDM. Analytical expressions for energy spectra are derived by means of a recent version of the Asymptotic Iteration Method. The calculated numerical results are compared with the experimental data, and the model Z(5)-H using the Hulth\'en potential without DDM formalism as well as theoretical predictions of Z(5)-DDDM model with Davidson potential.

Keywords

bohr hamiltonian triaxial nuclei deformation-dependent mass hulthén potential asymptotic iteration method energy spectra

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@article{arxiv.2001.10095,
  title  = {Bohr Hamiltonian with Hulth\'en plus ring-shaped potential for triaxial nuclei with deformation-dependent mass term},
  author = {A. Adahchour and S. Ait El Korchi and A. El Batoul and A. Lahbass and M. Oulne},
  journal= {arXiv preprint arXiv:2001.10095},
  year   = {2020}
}

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10 pages, 2 tables

Bohr Hamiltonian with Hulth\'en plus ring-shaped potential for triaxial nuclei with deformation-dependent mass term

Abstract

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