Bohr Hamiltonian with Hulthén plus ring-shaped potential for triaxial nuclei with deformation-dependent mass term

In this work, we solve the eigenvalues problem with the Bohr collective Hamiltonian for triaxial nuclei within Deformation-Dependent Mass formalism (DDM) using the Hulthén potential. We shall call the solution developed here Z(5)-HDDM. Analytical expressions for energy spectra are derived by means o...

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Bibliographic Details
Published inarXiv.org
Main Authors Adahchour, A, S Ait El Korchi, A El Batoul, Lahbass, A, Oulne, M
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 27.01.2020
Subjects
Asymptotic methods
Deformation
Eigenvalues
Energy spectra
Formalism
Iterative methods
Mathematical analysis
Nuclei
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Summary:In this work, we solve the eigenvalues problem with the Bohr collective Hamiltonian for triaxial nuclei within Deformation-Dependent Mass formalism (DDM) using the Hulthén 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 Hulthén potential without DDM formalism as well as theoretical predictions of Z(5)-DDDM model with Davidson potential.
ISSN:2331-8422