The SU(3) ⊃ SO(3) missing label problem and the analytical Bethe Ansatz

被引：2
|
作者：
Crampe, Nicolas [1 ,2 ]
Kabakibo, Dounia Shaaban [3 ]
Vinet, Luc [4 ]
机构：
[1] Univ Tours, Inst Denis Poisson, CNRS UMR 7013, F-37200 Tours, France
[2] Univ Orleans, Inst Denis Poisson, CNRS UMR 7013, Orleans 2, France
[3] Univ Montreal, Ctr Rech Math, Ctr Ville Stn, POB 6128, Montreal, PQ H3C 3J7, Canada
[4] Insitut Valorisat Donnees IVADO, Montreal, PQ H2S 3H1, Canada
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2022年 / 37卷 / 08期
基金：
加拿大自然科学与工程研究理事会;
关键词：
su(3) Lie algebra; missing label problem; Bethe Ansatz; ENVELOPING ALGEBRA; SPECTRUM; OPERATORS; SYMMETRY; SCALARS;
D O I：
10.1142/S0217751X22500385
中图分类号：
O57 [原子核物理学、高能物理学];
学科分类号：
070202 ;
摘要：
The missing label for basis vectors of SU(3) representations corresponding to the reduction SU(3) superset of SO(3) can be provided by the eigenvalues of SO(3) scalars in the enveloping algebra of su(3). There are only two such independent elements of degrees three and four. It is shown how the one of degree four can be diagonalized using the analytical Bethe ansatz.
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页数：16
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