Triaxial rotor in the O(6) limit of the interacting boson model

A mapping from the triaxial rotor Hamiltonian to that of the O(6) limit in the interacting boson model (IBM) is established, which is achieved by introducing the symmetry-conserving high-order interactional terms The validity of the proposed mapping scheme is further examined for the cases with γ =...

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Bibliographic Details
Published in:Physica scripta 2024-01, Vol.99 (1), p.15305
Main Authors: Teng, Wei, Wang, Sheng-Nan, Zhang, Yu, Fortunato, Lorenzo
Format: Article
Language:English
Subjects:
the interacting boson model
the O symmetry
triaxial rotor model
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Summary:A mapping from the triaxial rotor Hamiltonian to that of the O(6) limit in the interacting boson model (IBM) is established, which is achieved by introducing the symmetry-conserving high-order interactional terms The validity of the proposed mapping scheme is further examined for the cases with γ = 0 and γ = π /6, respectively. It is shown that the rotor model results can be well reproduced in its O(6) image especially for the low-spin states. It thus provides an alternative way to understand the triaxiality in the finite- N systems and additional insight into the O(6) IBM theory.
ISSN:0031-8949
1402-4896
DOI:10.1088/1402-4896/ad16b3