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

A.M. Khalaf; Azza O. El-Shal; M. M. Taha; M.A. El-Sayed

doi:10.1007/s41365-020-00757-y

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

NUCLEAR PHYSICS AND INTERDISCIPLINARY RESEARCH | Updated：2021-01-26

- Vibrational, rotational, and triaxiality features in extended O(6) dynamical symmetry of IBM using three-body interactions
- Nuclear Science and Techniques Vol. 31, Issue 5, Article number: 47(2020)
- Affiliations：
  
  1.Physics Department, Faculty of Science, Al-Azhar University, Cairo, Egypt
  2.Mathematics and Theoretical Physics Department, Nuclear Research Center, Atomic Energy Authority, Cairo, P.No. 13759, Egypt
- Author bio：
  
  Corresponding author, mathelgohary@yahoo.com
- Funds：
- DOI：10.1007/s41365-020-00757-y
  CLC：
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A.M. Khalaf, Azza O. El-Shal, M. M. Taha, et al. Vibrational, rotational, and triaxiality features in extended O(6) dynamical symmetry of IBM using three-body interactions. [J]. Nuclear Science and Techniques 31(5):47(2020)
DOI：

A.M. Khalaf, Azza O. El-Shal, M. M. Taha, et al. Vibrational, rotational, and triaxiality features in extended O(6) dynamical symmetry of IBM using three-body interactions. [J]. Nuclear Science and Techniques 31(5):47(2020) DOI： 10.1007/s41365-020-00757-y.

摘要

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 interaction , ${[d^{†} d^{†} d^{†}]}^{(3)} \cdot {[\tilde{d} \tilde{d} \tilde{d}]}^{(3)}$ ,. 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 ,124-132,Xe 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,(,E,2) values for a number of low-lying levels. A good agreement between the calculations and experiment results is found.

关键词

Keywords

Nuclear structureExtended O(6) of IBMThree-body interactionsCoherent state

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