Abstract

A matrix representation of the labelling operators of Moshinsky and Nagel (1963) and of Partensky and Maguin (1978) in the non-orthogonal Draayer basis of SU(4) is derived; this allows one to solve explicitly the missing label problem for the spin-isospin multiplets in the arbitrary SU(4) supermultiplets. The simplification and degeneration of these representations are considered for two parametric irreducible representations of SU(4), as well as for some special cases of irreps typical of nuclear theory. The expansion of the linearly dependent states of the Draayer basis is discussed.

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