# Nuclear Science and Techniques

《核技术》(英文版) ISSN 1001-8042 CN 31-1559/TL     2019 Impact factor 1.556

Nuclear Science and Techniques ›› 2020, Vol. 31 ›› Issue (5): 47

• NUCLEAR PHYSICS AND INTERDISCIPLINARY RESEARCH •

### Vibrational, rotational, and triaxiality features in extended O(6) dynamical symmetry of IBM using three-body interactions

A.M. Khalaf 1, Azza O. El-Shal 2, M. M. Taha 2, M.A. El-Sayed 2

1. 1Physics Department, Faculty of Science, Al-Azhar University, Cairo, Egypt
2Mathematics and Theoretical Physics Department, Nuclear Research Center, Atomic Energy Authority, Cairo, P.No. 13759, Egypt
• Received:2019-12-08 Revised:2020-02-06 Accepted:2020-02-12
• Contact: M.A. El-Sayed E-mail:mathelgohary@yahoo.com
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A.M. Khalaf, Azza O. El-Shal, M. M. Taha, M.A. El-Sayed. Vibrational, rotational, and triaxiality features in extended O(6) dynamical symmetry of IBM using three-body interactions.Nuclear Science and Techniques, 2020, 31(5): 47
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Abstract: The shape transition between the vibrational U(5) and deformed γ-unstable O(6) dynamical symmetries of sd interacting boson model has been investigated by considering a modified O(6) Hamiltonian providing that the coefficients of the Casimir operator of O(5) are N-dependent, where N is the total number of bosons. The modified O(6) Hamiltonian does not contain the number operator of the d boson, which is responsible for the vibrational motions. In addition, the deformation features can be achieved without using the SU(3) limit by adding to the O(6) dynamical symmetry the three-body interaction [QQQ] (0), where Q is the O(6) symmetric quadrupole operator. Moreover, triaxiality can be generated through the inclusion of the cubic d-boson interaction d†d†d†(3) · [d˜d˜d˜] (3). The classical limit of the potential energy surface (PES), which represents the expected value of the total Hamiltonian in a coherent state is studied and examined. The modified O(6) model is applied to the even-even 124 132Xe isotopes. The parameters for the Hamiltonian and the PESs are calculated using a simulated search program to obtain the minimum root mean square deviation between the calculated and experimental excitation energies and B(E2) values for a number of low-lying levels. A good agreement between the calculations and experiment results is found.