SYMMETRIZED HARMONIC-OSCILLATOR SU3 STATES FOR MULTI-CLUSTER SYSTEMS

An algorithm is presented for the construction of single- and multi-cl uster harmonic oscillator wave functions that are coupled into well-de fined irreducible representations of SU3 as well as of the symmetric g roup S-N. The single-cluster harmonic oscillator SU3 wave functions ar e constructed recursively, using the SU3 coefficients of fractional pa rentage. To construct multi-cluster wave functions with a well-defined permutational symmetry we diagonalize an appropriate set of single-cy cle class operators of the symmetric group involving all the constitue nt particles. The formalism is applicable to the study of multi-cluste r systems in nuclear physics where the wave functions are expressed in terms of harmonic oscillator SU3 states