Abstract
We consider a system of identical particles distributed in several clusters. Each cluster is characterized by a Yamanouchi symbol specifying its permutational symmetry. A procedure for coupling the various clusters into an overall well-defined angular momentum and permutational symmetry, is presented. It is based on diagonalizing an appropriate set of single-cycle class operators of the symmetric group. The techniques for the evaluation of the necessary matrix-elements are developed. They provide interesting generalizations of the corresponding techniques for a system consiting of a single-cluster of particles. The results are immediately applicable to the study of nuclear cluster models, nuclei as quark clusters, as well as the interaction among gas-phase atomic clusters.
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