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

Physics – Mathematical Physics

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Scientific paper

10.1088/1751-8113/41/6/065206

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 $K$ quantum
numbers in the asymptotic rotor-model limit.

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