IBM Versus Quadrupole Phonons

  • Vladimir Paar
Part of the Ettore Majorana International Science Series book series (EMISS)


The main topic of this Symposium is the SU (6) interacting-boson model (IBM) of Iachello and Arima. Our aim is to stress its relation to the SU (6) truncated quadrupole-phonon model (TQM) of Janssen, Jolos, and Dönau, as well as to the boson-expansion model and to the Bohr-Mottelson Hamiltonian. The IBM and the TQM are equivalent as far as the phenomenological treatment of the parameters is concerned; among other features, all limiting symmetries (SU(3), SU (5), O(5),...) and the results obtained by fitting the parameters are exactly the same in both models. In fact, the IBM and the TQM are two representations of the SU (6) group (the Schwinger and the Holstein-Primakoff representations, respectively). In addition, advantages and shortcomings of SU(6) models versus boson-expansion methods are pointed out. It is noted that the SU(6) Hamiltonian could be interpreted as a particular realization of the Bohr-Mottelson Hamiltonian.


Matrix Element Collective State Pauli Principle Interact Boson Model Additional Quantum Number 
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Copyright information

© Plenum Press, New York 1979

Authors and Affiliations

  • Vladimir Paar
    • 1
  1. 1.Prirodoslovno-matematički fakultetUniversity of Zagreb and “Rudjer Bošković” InstituteZagrebYugoslavia

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