Abstract
We derive a formally exact normal-ordered boson expansion in terms of harmonic oscillator bosons, for the nuclear charge and current densities. This expansion separates the dependence on the momentum transfer from the dependence on the nuclear structure, and is exact in the case of the harmonic oscillator shell-model space. Our boson expansion provides a mechanism for expressing the multipole operators in terms of SU(3) tensors. Thus, we perform an SU(3) tensor analysis of the multipole operators, since this is of major importance for shell-model calculations in an SU(3) basis.
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