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Investigation of Bohr Hamiltonian in presence of Killingbeck potential using bi-confluent Heun functions

Authors
Sobhani, HadiHassanabadi, HassanChung, Won Sang
Issue Date
May-2018
Publisher
ELSEVIER SCIENCE BV
Keywords
Bohr Hamiltonian; Collective motions of atomic nuclei; Killingbeck interaction; Bi-confluent Heun functions
Citation
NUCLEAR PHYSICS A, v.973, pp 33 - 47
Pages
15
Indexed
SCI
SCIE
SCOPUS
Journal Title
NUCLEAR PHYSICS A
Volume
973
Start Page
33
End Page
47
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/11677
DOI
10.1016/j.nuclphysa.2018.02.007
ISSN
0375-9474
1873-1554
Abstract
In this study, Bohr Hamiltonian is studied for the triaxial and rotational cases. In both cases, Killingbeck potential is used as interaction. The wave function and energy of these cases are found using bi-confluent Heun functions. The results are examined by reproducing experimental data of some isotopes for each case. Energy levels of the isotopes are shown graphically as well as theoretical results for staggering in gamma bands of the isotopes is discussed. In the next step, we argue about B(E2) transition rates of the isotopes for each case. The results have a good agreement with experimental data. (C) 2018 Elsevier B.V. All rights reserved.
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