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Symmetrized harmonic oscillatorSU 3 states for multi-cluster systems

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Zeitschrift für Physik A Hadrons and Nuclei

Abstract

An algorithm is presented for the construction of single- and multi-cluster harmonic oscillator wave functions that are coupled into well-defined irreducible representations ofSU 3 as well as of the symmetric groupS N . The single-cluster harmonic oscillatorSU 3 wave functions are constructed recursively, using theSU 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 oscillatorSU 3 states

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Authors and Affiliations

  1. Racah Institute of Physics, The Hebrew University, 91904, Jerusalem, Israel

    A. Novoselsky

  2. Department of Chemistry, Technion-Israel Institute of Technology, 32000, Haifa, Israel

    J. Katriel

Authors
  1. A. Novoselsky
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  2. J. Katriel
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This article was processed using Springer-Verlag TEX Z.Physik A macro package 1.0 and the AMS fonts, developed by the American Mathematical Society.

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Novoselsky, A., Katriel, J. Symmetrized harmonic oscillatorSU 3 states for multi-cluster systems. Z. Physik A - Hadrons and Nuclei 349, 343–344 (1994). https://doi.org/10.1007/BF01288989

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  • DOI: https://doi.org/10.1007/BF01288989

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