Symmetrized harmonic oscillator SU3 states for multi-cluster systems

  • A. Novoselsky
  • J. Katriel
Conference paper


An algorithm is presented for the construction of single- and multi-cluster harmonic oscillator wave functions that are coupled into well-defined irreducible representations of SU 3 as well as of the symmetric group S N . The single-cluster harmonic oscillator SU 3 wave functions are constructed recursively, using the SU 3 coefficients of fractional parentage. To construct multi-cluster wave functions with a well-defined permutational symmetry we diagonalize an appropriate set of single-cycle class operators of the symmetric group involving all the constituent particles. The formalism is applicable to the study of multi-cluster systems in nuclear physics where the wave functions are expressed in terms of harmonic oscillator SU 3 states


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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • A. Novoselsky
    • 1
  • J. Katriel
    • 2
  1. 1.Racah Institute of PhysicsThe Hebrew UniversityJerusalemIsrael
  2. 2.Department of ChemistryTechnion-Israel Institute of TechnologyHaifaIsrael

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