Davydov-Chaban Hamiltonian within the formalism of deformation-dependent effective mass for Davidson potential
| Autor: | Buganu, P., Chabab, M., Batoul, A. El, Lahbas, A., Oulne, M. |
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| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | Nuclear Theory, Vol.36 (2017) pp. 186-194 |
| Druh dokumentu: | Working Paper |
| Popis: | In this work, we modify the Davydov-Chaban Hamiltonian describing the collective motion of a $\gamma$-rigid atomic nucleus by allowing the mass to depend on nuclear deformation. Exact analytical expressions are derived for energy spectra as well as normalized wave functions for Davidson potential. The model, called Z(4)-DDMD (Deformation Dependent Mass with Davidson potential), is achieved by using the Asymptotic Iteration Method (AIM). The numerical calculations for energy spectra and B(E2) transition probabilities are compared to the experimental data of $^{192-196}$Pt isotopes. The obtained results show an overall agreement with the experiment and an important improvement in respect to other models. Comment: 9 pages, 2 tables, contribution to the Proceedings of the 36-th International Workshop on Nuclear Theory (IWNT-36), Rila Mountains, 2017, Editors: M. Gaidarov and N. Minkov, Published by Heron Press Ltd., Sofia, Bulgaria, ISSN 1313-2822, Organization: Nuclear Theory Laboratory, INRNE, BAS, Bulgaria |
| Databáze: | arXiv |
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