A. Novoselsky et J. Katriel, SYMMETRIZED HARMONIC-OSCILLATOR SU3 STATES FOR MULTI-CLUSTER SYSTEMS, ZEITSCHRIFT FUR PHYSIK A-HADRONS AND NUCLEI, 349(3-4), 1994, pp. 343-344
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