Quasi-spin symmetrized orbital operators for dN configurations

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Abstract
Two particle orbital operators having well-defined transformation properties under the quasi-spin group and the rotational group R5 are constructed. The second-order effects produced by electrostatic correlation of one particle orbital interactions are formally written in terms of the symmetrized operators. The calculation of the matrix elements is discussed together with its relationship to the problem of calculating isoscalar factors. The possible application to electric quadrupole hyperfine interactions is considered