Interacting boson model and its microscopic foundation

  • Akito Arima
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 161)


Seniority scheme is discussed by using quasi-spin formalism. This scheme is used to truncate the shell model space of spherical nuclei. Pairs with L=0 and L,=2 are used as building blocks. A subspace constructed by those pairs is called the S-D subspace. It is studied whether this subspace provides a good approximation or not. The concept of the S-D subspace is generalized to deformed nuclei.


Single Particle Energy Tensor Interaction Shell Model Calculation Reduction Formula Interact Boson Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1).
    A. Arima and F. Iachello, Phys. Rev. Lett. 35 (1975) 1069. Ann. Phys. NY 99 (1976) 253, 111 (1978) 201, 123 (1979) 468.CrossRefGoogle Scholar
  2. 2).
    T. Otsuka, A. Arima, F. Iachello and I. Talmi, Phys. Lett. 768 (1978) 139.Google Scholar
  3. 3).
    T. Otsuka, A. Arima and F. Iachello, Nucl. Phys. A309 (1978) 1.Google Scholar
  4. 4).
    R.D. Lawson and M.H. Macfarlane, Nucl. Phys. 66 (1965) 80.CrossRefGoogle Scholar
  5. 5).
    H. Kawarada and A. Arima, J. Phys. Soc. Japan 19 (1964) 1768. ba]M. Ichimura and A. Arima, Prog. Theor. Phys. 36 (1966) 296.Google Scholar
  6. 6).
    A. DeShalit and I. Talmi, Nucl. Shell Theory (Academic Press Inc, New York 1963).Google Scholar
  7. 7).
    J.P. Elliott, Proc. Roy. Soc. A245 (1958) 128, 562.Google Scholar
  8. 8).
    A. Arima, M. Nomura and H. Kawarada, Phys. Lett. 19 (1965) 400.CrossRefGoogle Scholar
  9. 9).
    A. Arima, Proceedings of The International Conference on Nuclear Physics, Berkeley 1980 (Nucl. Phys. A354 (1981) 19c).Google Scholar
  10. 10).
    For example, M. Berard and N. de Takacsy, Phys. Rev. C20 (1979) 2439.Google Scholar
  11. 11).
    I. Talmi, Nucl. Phys. A172 (1971) 1. ba]S. Shlomo and I. Talmi, Nucl. Phys. A198 (1972) 81.Google Scholar
  12. 12).
    K.T. Hecht, J.B. McGrory and J.P. Draayer, Nucl. Phys. A197 (1972) 369.Google Scholar
  13. 13).
    S.G. Lie and G. Holzwarth, Phys. Rev. C12 (1975) 1035.Google Scholar
  14. 14).
    A. Bohr and B.R. Mottelson, Nuclear Structure vol 2.Google Scholar
  15. 15).
    T. Otsuka, A. Arima and N. Yoshinaga, to be published in Phys. Rev. Lett..Google Scholar
  16. 16).
    A. Bohr and B.R. Mottelson, Physici Scripta 22 (1980) 468; see also R.A. Broglia in Interacting Bose-Fermi System in Nuclei, p.95; Ed. F. Iachello Plenum Press, New York (1981).Google Scholar
  17. 17).
    K. Sugawara-Tanabe and A. Arima, to be published in Phys. Lett. (1982).Google Scholar
  18. 18).
    J.L. Egido, H.J. Mang and P. Ring, Nucl. Phys. A334 (1980) 1.Google Scholar
  19. 19).
    C. Bloch and A. Messiah, Nucl. Phys. 39 (1962) 95.CrossRefGoogle Scholar
  20. 20).
    J. Dukelsky, G.G. Dussel and H.M. Sofia, Phys. Lett. 100B (1981) 367 and Nucl. Phys. A373 (1982) 267.Google Scholar
  21. 21).
    T. Otsuka, Nucl. Phys. A368 (1981) 244.Google Scholar
  22. 22).
    K.A, Sage and B.R. Barrett, Phys. Rev. C22 (1980) 1765.Google Scholar
  23. 23).
    R.D. Ratna Raju, Phys. Rev. C23 (1981) 518. *** DIRECT SUPPORT *** A3418118 00002Google Scholar

Copyright information

© Springer-Verlag 1982

Authors and Affiliations

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

Personalised recommendations