Review of the Group Theory Behind the Interacting Boson Model of the Nucleus

  • M. Moshinsky
Chapter

Abstract

The present note will try to place into a wider context the paper with a similar title by Castaños, Chacón, Frank and the present author.1 This paper was in turn prompted by the presentation of the work on the interacting boson model of the nucleus by Arima in a previous Oaxtepec Conference on nuclear physics.2,3,4

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References

  1. 1.
    Castanos, E. Chacón, A. Frank and M. Moshinsky, J. Math. Phys. 20, 35 (1979).Google Scholar
  2. 2.
    A. Arima and F. Iachello, Phys. Lett. B53, 309 (1974).Google Scholar
  3. 3.
    A. Arima and F. Iachello, Ann. Phys. (N.Y.) 99, 253 (1976), Ann. Phys. (N.Y.) 111, 201 (1978), Phys. Rev. Lett. 40, 385 (1978).Google Scholar
  4. 4.
    A. Arima, T. Ohtsuka, F. Iachello and I. Talmi, Phys. Lett. 66 B, 205 (1977).Google Scholar
  5. 5.
    J. R. Schrieffer, “Theory of Superconductivity” (W. A. Benjamin, Inc., New York 1964 ).Google Scholar
  6. 6.
    D. J. Thouless, “The Quantum Mechanics of Many Body Systems”. ( Academic Press, New York 1961 ).MATHGoogle Scholar
  7. 7.
    M. E. Rose, “Elementary Theory of Angular Momentum” ( Wiley, New York, 1957 ).MATHGoogle Scholar
  8. 8.
    A. Bohr and B. Mottelson, Kgl. Dan. Videnskab. Selks. Mat. Fys. Medd. 27, 16 (1953).Google Scholar
  9. 9.
    M. Moshinsky, “Group Theory and the Many Body Problem” ( Gordon and Breach, New York 1968 ).Google Scholar
  10. 10.
    E. Chacón, J. Flores, M. de Llano and P. A. Mello, Nuclear Physics 72, 352, 379 (1965). A. Arima, T. Inoue, T. Sebe, H. Hagiwara, Nuclear Physics 59, 1, (1964).Google Scholar
  11. 11.
    J. P. Elliott, Proc. Roy. Soc. London A245, 562 (1958).Google Scholar
  12. 12.
    Unsigned article appearing in Physics Today - July 1978, p. 17.Google Scholar
  13. 13.
    E. Chacón, M. Moshinsky and R. T. Sharp, J. Math. Phys. 17, 668 (1976).Google Scholar
  14. 14.
    E. Chacón and M. Moshinsky, J. Math. Phys. 18, 870 (1977).Google Scholar
  15. 15.
    H. A. Jahn, Proc. Roy. Soc. A201 516 (1950); A205, 192 (1951).Google Scholar
  16. 16.
    Castaflos and A. Frank, “Computer programs for relevant reduced 3j-symbols of the 0(5) D 0(3) chain of groups”. To be published in forthcoming Ph.D. dissertations.Google Scholar
  17. 17.
    E. P. Wigner, “Group Theory” ( Academic Press, New York, 1959 ).MATHGoogle Scholar
  18. 18.
    A. Arima, T. Ohtsuka, F. Iachello, 0. Scholten and I. Talmi, Proc. I.t. Conference, Nuclear Structure, Tokyo 1977, J. Phys. Soc. Japan 44, 509 (1978).Google Scholar
  19. 19.
    R. Gaskell, A. Peccia and R. T. Sharp, J. Math. Phys. 19, 727 (1978).MathSciNetADSMATHCrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1980

Authors and Affiliations

  • M. Moshinsky
    • 1
  1. 1.Instituto de FísicaUNAMMéxico 20, D.F.Mexico

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