Solution of Bohr Hamiltonian in the Z(5) critical point by using Morse potential for 190Hg nucleus

Autor: M. Seidi, H. Sabri, R. Gholami
Jazyk: perština
Rok vydání: 2022
Předmět:
Zdroj: مجله علوم و فنون هسته‌ای, Vol 43, Iss 2, Pp 61-70 (2022)
Druh dokumentu: article
ISSN: 1735-1871
2676-5861
DOI: 10.24200/nst.2022.1384
Popis: In this paper, the Hamiltonian of Bohr-Mottelson model was solved to determine the energy levels and also energy surfaces of 190Hg nucleus in the Z(5) critical point. The Morse and Harmonic oscillator potentials are used for radial and angular parts of Hamiltonian, respectively. The asymptotic iteration method is used to solve radial equation and the constants of model are extracted in comparison with experimental data. The results are compared with the predictions of previous studies which solved Bohr-Hamiltonian in this critical point with using infinite well potential for radial part and also the predictions of O(6) dynamical limit of interacting boson model. Significant improvements are yield with using Morse potential in determination of energy levels of excited energy bands. Also, the results of this potential show more corresponding with the predictions of O(6) dynamical model.
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