Triaxiality and Cubic Terms From Casimir Invariants

Year 2020, Volume: 2 Issue: 1, 40 - 47, 29.12.2020

Ramesh Kumar Şadiye Çakmak

Abstract

Etkileşen Bozon Modeli (IBM) Hamiltoniyen'in O(6) simetrisini kıran kübik terimler, U(6) ve alt gruplarının Casimir değişmezlerinden oluşturulmuştur. Bu yazıda, yukarıdaki Casimir değişmezlerinden oluşturulabilen kübik terimleri ele alıyor ve bu tür terimlerin kalıcı üç eksenli deformasyona yol açıp açamayacağını araştırılmıştır. Kübik terimlerin klasik sınırı elde edilmiştir ve hiçbirinin kalıcı üç eksenli deformasyona yol açmasını beklemediği gösterilmiştir.

Keywords

Casimir invariants, Interacting Boson Model (IBM), Triaxial deformation

TRIAXIALITY AND CUBIC TERMS FROM CASIMIR INVARIANTS

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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Keywords

Casimir invariants, Triaxial deformation, Interacting Boson Model (IBM)

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