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Interacting boson model

  • Akito Arima
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 145)

Abstract

Truncation into the SD subspace is shown to be good approximation. In order to simulate shell model calculations in this subspace, s and d bosons are introduced. This boson model is called the Interacting Boson Model. Some results given by this model are discussed.

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References

  1. 1.
    A. Bohr, Mat. Fys. Medd. Dan. Vid. Selsk. 26 (1952) no. 14 A. Bohr and B. R. Mottelson, Mat. Fys. Medd. Dan. Vid. Selsk. 27 (1953) no. 16.Google Scholar
  2. 2.
    J. P. Elliott, Proc. Roy, Soc, A245 (1958) 128; 245 (1958) 562.Google Scholar
  3. 3.
    A. Arima, T. Otsuka, F. Iachello and I. Talmi, Phys. Lett. 66B (1977) 205.Google Scholar
  4. 4.
    A. Arima, T. Otsuka, F. Iachello and I. Talmi, Phys. Lett. 76B (1978) 139.Google Scholar
  5. 5.
    T. Otsuka, A. Arima and F. Iachello, Nucl. Phys. A309 (1978) 1.Google Scholar
  6. 6.
    T. Otsuka, preprint and submitted to Phys. Rev. Lett.Google Scholar
  7. 7.
    A. Arima, Nucl. Phys. A347 (1980) 339. A. Arima, N. Yoshida and J. N. Ginocchio, to be published in Phys. Lett.Google Scholar
  8. 8.
    A. Bohr and B. R. Mottelson, Phys. Scripta 22 (1980) 468.Google Scholar
  9. 9.
    J. Dukelsky, G. G. Dussel and H. M. Sofia, preprint.Google Scholar
  10. 10.
    T. Otsuka, private communicationGoogle Scholar
  11. 11.
    A. Arima and F. Iachello, Phys. Rev. Lett. 35 (1975) 1069.CrossRefGoogle Scholar
  12. 12.
    K. Taruishi, Prog. Theor. Phys. 39 (1968) 53.Google Scholar
  13. 13a.
    A. Arima, Soryushiron-Kenkyu (Japanese) 35 (1967) E47Google Scholar
  14. 13.
    F. Iachello, Proc. Intern. Conf. on Nuclear Structure and Spectroscopy, Amsterdam (1974), ed. by H. P. Blok and A. E. L. Dieperink.Google Scholar
  15. 14.
    D. Janssen, R. V. Jolos and F. Dönau, Nucl. Phys. A224 (1974) 93.Google Scholar
  16. 15.
    F. Iachello, Lecture Notes in Physics 119, Nuclear Spectroscopy, “Lecture Notes of the Workshop, Gull Lake, Michigan, August 27–Sept. 7, 1979,” ed. by G. F. Bertsch and D. Kurath, (Springer, 1980).Google Scholar
  17. 16.
    A. Arima and F. Iachello, Ann. Phys. (N. Y.) 99 (1976) 253.CrossRefGoogle Scholar
  18. 17.
    A. Arima and F. Iachello, Ann. Phys. (N. Y.) 111 (1978) 201.CrossRefGoogle Scholar
  19. 18.
    A. Arima and F. Iachello, Ann. Phys. (N. Y.) 123 (1979) 468.CrossRefGoogle Scholar
  20. 19.
    O. Scholten, F. Iachello and A. Arima, Ann. Phys. 115 (1978) 325.CrossRefGoogle Scholar
  21. 20.
    R. F. Casten and J. A. Cizewski, Nucl. Phys. A300 (1978) 477.Google Scholar
  22. 21.
    D. D. Warner, R. F. Casten and W. F. Davidson, Phys. Rev. Lett. 45 (1980) 1761.CrossRefGoogle Scholar
  23. 22.
    For examples U. Kaup and A. Gelberg, Z. Phys. A293 (1973) 311.Google Scholar
  24. 22. a
    P. Van Isacker and G. Puddu, Nucl. Phys. A348 (1980) 125.Google Scholar
  25. 22. b
    G. Puddu, O. Scholten and T. Otsuka, Nucl. Phys. A348 (1980) 109.Google Scholar
  26. 22. c
    R. Bijker, A. E. L. Dieperink, O. Scholten and R. Spankof, Nucl. Phys. A344 (1980) 207.CrossRefGoogle Scholar
  27. 22. d
    Interacting Bosons in Nuclear Physics, ed. by F. Iachello, (Plenum, New York, 1979).Google Scholar
  28. 13.
    Interacting Bose — Fermi System in Nuclei, ed. by F. Iachello, (Plenum, New York, 1981).Google Scholar

Copyright information

© Springer-Verlag 1981

Authors and Affiliations

  • Akito Arima
    • 1
  1. 1.Department of Physics, Faculty of ScienceUniversity of TokyoTokyoJapan

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