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Construction of SU(3) irreps in canonical SO(3)-coupled bases

Mathematical Physics 2009-11-13 v1 math.MP

Abstract

Alternative canonical methods for defining canonical SO(3)-coupled bases for SU(3) irreps are considered and compared. It is shown that a basis that diagonalizes a particular linear combination of SO(3) invariants in the SU(3) universal enveloping algebra gives basis states that have good KK quantum numbers in the asymptotic rotor-model limit.

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Cite

@article{arxiv.0711.0978,
  title  = {Construction of SU(3) irreps in canonical SO(3)-coupled bases},
  author = {D. J. Rowe and G. Thiamova},
  journal= {arXiv preprint arXiv:0711.0978},
  year   = {2009}
}

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