Abstract
The projection operators for the groupsSU n are used for constructing the noncanonical basis vectors of irreducible representations of these groups as linear combinations of the Gel'fand-Tseitlin canonical basis vectors. The structure of the basis vectors of the irreducible representation of the groupsSU 4,SU 3,SU 6 in the case of the reductionSU 4 ⊃SU 2×SU 2,SU 3⊃R 3 andSU 6 ⊃SU 3, respectively, is discussed. A number of formulae have been obtained for the fractional parentage coefficients for the (1d-2s)-shell nuclei.
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Gurbanovich, I.S., Smirnov, Y.F. & Tolstoi, V.N. Calculation of fractional parentage coefficients for the (1d-2s)-shell nuclei with the projection-operator method. Czech J Phys 21, 236–246 (1971). https://doi.org/10.1007/BF01725975
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DOI: https://doi.org/10.1007/BF01725975