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We review briefly the fundamental equations of a semi-microscopiccore-particle coupling method that makes no reference to an intrinsic system ofcoordinates. We then demonstrate how an intrinsic system can be introduced inthe strong coupling limit so as to yield a completely equivalent formulation.It is emphasized that the conventional core-particle coupling calculationintroduces a further approximation that avoids what has hitherto been the mosttime-consuming feature of the full theory, and that this approximation can beintroduced either in the intrinsic system, the usual case, or in the laboratorysystem, our preference. A new algorithm is described for the full theory thatlargely removes the difference in complexity between the two types ofcalculation. Comparison of the full and approximate theories for somerepresentative cases provides a basis for the assessment of the accuracy of thetraditional approach. We find that for well-deformed nuclei, e.g. 157Gd and157Tb, the core-coupling method and the full theory give similar results.Comment: revtex, 3 figures(postscript), submitted to Phys.Rev.

Derivation and assessment of strong coupling core-particle model from the Kerman-Klein-Dönau-Frauendorf theory