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Use of a Boson Mapping to Elucidate the Relationship Between the IBM and the Bohr Collective Hamiltonian and Between a Simplified Shell Model and the Bohr Collective Hamiltonian

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Contemporary Research Topics in Nuclear Physics

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Abstract

The solution of two problems is outlined: (i) Given the phenomenological boson model, IBM 1, what is the equivalent Bohr Collective Hamiltonian? (ii) Given a generalized Meshkov-Glick-Lipkin model with n levels, what is the equivalent Bohr Collective Hamiltonian? The basic tool in each case is a well-known boson mapping for the symmetric representation of SU(n).

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References

  1. Interacting Bosons in Nuclear Physics, ed. F. Iachello (Plenum Press, New York, 1979).

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Author information

Authors and Affiliations

  1. Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania, 19104, USA

    Abraham Klein

  2. Department of Physics and Atmospheric Science, Drexel University, Philadelphia, Pennsylvania, 19104, USA

    Michel Vallieres

Authors
  1. Abraham Klein
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  2. Michel Vallieres
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Editor information

Editors and Affiliations

  1. Drexel University, Philadelphia, Pennsylvania, USA

    Da Hsuan Feng  & Michel Vallières  & 

  2. University of Tennessee, Knoxville, Tennessee, USA

    Michael W. Guidry  & Lee L. Riedinger  & 

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© 1982 Plenum Press, New York

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Klein, A., Vallieres, M. (1982). Use of a Boson Mapping to Elucidate the Relationship Between the IBM and the Bohr Collective Hamiltonian and Between a Simplified Shell Model and the Bohr Collective Hamiltonian. In: Feng, D.H., Vallières, M., Guidry, M.W., Riedinger, L.L. (eds) Contemporary Research Topics in Nuclear Physics . Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-1134-8_28

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  • DOI: https://doi.org/10.1007/978-1-4684-1134-8_28

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-1136-2

  • Online ISBN: 978-1-4684-1134-8

  • eBook Packages: Springer Book Archive

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