Abstract
References
- Referans1 Casten RF, Brentano P von. An extensive region of O(6)-like nuclei near A = 130. Phys. Lett. B 1985; 152: 22-28.
- Referans2 Arima A, Iachello F. Interacting Boson Model of Collective States I. The Vibrational Limit. Ann.Phys. (NY) 1976; 99 : 253-317.
- Referans3 Arima A, Iachello F. Interacting boson model of collective nuclear states II. The rotational limit. Ann.Phys. (NY) 1978; 111 : 201-238.
- Referans4 Arima A, Iachello F. Interacting boson model of collective nuclear states IV. The O(6) limit. Ann.Phys. (NY) 1979; 123 : 468-492.
- Referans5 Iachello F, Arima A. The interacting Boson Model Cambridge. United Kingdom, UK: Cambridge University Press, 1987.
- Referans6 Wilets L, Jean M. Surface Oscillations in Even-Even Nuclei. Phys. Rev. 1956; 102 : 788-796.
- Referans7 Casten RF, Brentano P Von, Heyde K, Isacker P Van and Jolie J. The interplay of γ-softness and triaxiality in O(6)-like nuclei. Nucl. Phys. A 1985; 439: 289-298.
- Referans8 Isacker P Van, Chen JQ. Classical limit of the interacting boson Hamiltonian. Phys. Rev. C 1981; 24: 684-689.
- Referans9 Heyde K, Isacker P Van, Waroquier M and Moreau J. Triaxial shapes in the interacting boson model. Phys. Rev. C 1984; 29: 1420-1427.
- Referans10 Vander Berghe G, Meyer H E de and Isacker P Van. Symmetry-conserving higher-order interaction terms in the interacting boson model. Phys. Rev. C 1985; 32: 1049-1056.
- Referans11 Vanthournout J, Jeugt J Van, Meyer H de and Vanden Berghe G. On the spectrum of a third‐order SO(3) scalar in the enveloping algebra of SO(6). J. Math. Phys. 1988; 29: 802-805.
- Referans12 Vanthournout J, Jeugt J Van, Meyer H de and Vanden Berghe G. Symmetry-preserving higher-order terms in the O (6) limit of the interacting boson model. Phys. Rev. C 1988; 38: 414-418.
Abstract
Cubic terms breaking O(6) symmetry of the Interacting Boson Model (IBM) Hamiltonian are constructed out of the Casimir invariants of U (6) and its subgroups. In this paper, we consider cubic terms which can be constructed out of the above Casimir invariants and investigate whether such terms can give rise to permanent triaxial deformation. The classical limit of these cubic terms is obtained, and it is shown that none of them expect one can give rise to permanent triaxial deformation.
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References
- Referans1 Casten RF, Brentano P von. An extensive region of O(6)-like nuclei near A = 130. Phys. Lett. B 1985; 152: 22-28.
- Referans2 Arima A, Iachello F. Interacting Boson Model of Collective States I. The Vibrational Limit. Ann.Phys. (NY) 1976; 99 : 253-317.
- Referans3 Arima A, Iachello F. Interacting boson model of collective nuclear states II. The rotational limit. Ann.Phys. (NY) 1978; 111 : 201-238.
- Referans4 Arima A, Iachello F. Interacting boson model of collective nuclear states IV. The O(6) limit. Ann.Phys. (NY) 1979; 123 : 468-492.
- Referans5 Iachello F, Arima A. The interacting Boson Model Cambridge. United Kingdom, UK: Cambridge University Press, 1987.
- Referans6 Wilets L, Jean M. Surface Oscillations in Even-Even Nuclei. Phys. Rev. 1956; 102 : 788-796.
- Referans7 Casten RF, Brentano P Von, Heyde K, Isacker P Van and Jolie J. The interplay of γ-softness and triaxiality in O(6)-like nuclei. Nucl. Phys. A 1985; 439: 289-298.
- Referans8 Isacker P Van, Chen JQ. Classical limit of the interacting boson Hamiltonian. Phys. Rev. C 1981; 24: 684-689.
- Referans9 Heyde K, Isacker P Van, Waroquier M and Moreau J. Triaxial shapes in the interacting boson model. Phys. Rev. C 1984; 29: 1420-1427.
- Referans10 Vander Berghe G, Meyer H E de and Isacker P Van. Symmetry-conserving higher-order interaction terms in the interacting boson model. Phys. Rev. C 1985; 32: 1049-1056.
- Referans11 Vanthournout J, Jeugt J Van, Meyer H de and Vanden Berghe G. On the spectrum of a third‐order SO(3) scalar in the enveloping algebra of SO(6). J. Math. Phys. 1988; 29: 802-805.
- Referans12 Vanthournout J, Jeugt J Van, Meyer H de and Vanden Berghe G. Symmetry-preserving higher-order terms in the O (6) limit of the interacting boson model. Phys. Rev. C 1988; 38: 414-418.
Details
| Primary Language | English |
|---|---|
| Subjects | Mathematical Physics |
| Journal Section | Research Articles |
| Authors | |
| Publication Date | December 29, 2020 |
| Submission Date | October 19, 2020 |
| Published in Issue | Year 2020 Volume: 2 Issue: 1 |
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