Il Nuovo Cimento A (1965-1970)

, Volume 104, Issue 9, pp 1265–1292 | Cite as

TheF-spin structure of the Hamiltonian in the proton-neutron interacting boson model

  • H. Harter


The relation between the interacting boson model without distinction between protons and neutrons (IBM-1) and the proton-neutron version (IBM-2) is studied. The embedding of the IBM-1 space into the IBM-2 space is analyzed in detail. A general projection method from IBM-2 onto IBM-1 is developed and projections of important operators are given.F-spin broken Hamiltonians in the interacting boson model are studied. TheF-spin tensor decomposition is given for the major terms of the Hamiltonian as well as for theE2 andM1 operators. The relation between the Majorana term of IBM-2 and general proton-neutron interactions is investigated.

PACS 21.60.E

Interacting boson model 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    A. Richter: inNuclear Structure 1985, edited byR. Broglia, G. Hagemann andB. Herskind (North Holland, Amsterdam, 1986), p. 469.Google Scholar
  2. [2]
    D. Bohle, A. Richter, W. Steffen, A. E. L. Dieperink, N. Lo Iudice, F. Palumbo andO. Scholten:Phys. Lett. B,137, 27 (1984).CrossRefADSGoogle Scholar
  3. [3]
    P. Halse, J. P. Elliott andJ. A. Evans:Nucl. Phys. A,417, 301 (1984).CrossRefADSGoogle Scholar
  4. [4]
    H. Harter, P. von Brentano andA. Gelberg:Phys. Rev. C,34, 1472 (1986).CrossRefADSGoogle Scholar
  5. [5]
    H. Harter, P. von Brentano, A. Gelberg andT. Otsuka:Phys. Lett. B,188, 295 (1987).CrossRefADSGoogle Scholar
  6. [6]
    D. D. Warner:Phys. Rev. Lett.,47, 181 (1981).CrossRefGoogle Scholar
  7. [7]
    P. O. Lipas, E. Hammaren andP. Toivonen:Phys. Lett. B,139, 10 (1984).CrossRefADSGoogle Scholar
  8. [8]
    P. O. Lipas, P. Toivonen andE. Hammaren:Nucl. Phys. A,469, 348 (1987).CrossRefADSGoogle Scholar
  9. [9]
    F. Iachello:Phys. Rev. Lett.,53, 1427 (1984).CrossRefADSGoogle Scholar
  10. [10]
    A. Arima andF. Iachello:Ann. Phys. (N. Y.),99, 253 (1976);111, 201 (1978);123, 468 (1979).CrossRefADSGoogle Scholar
  11. [11]
    A. Arima, T. Otsuka, F. Iachello andI. Talmi:Phys. Lett. B,66, 205 (1977).CrossRefADSGoogle Scholar
  12. [12]
    A. Arima andF. Iachello:Adv. Nucl. Phys.,13, 139 (1984).Google Scholar
  13. [13]
    T. Otsuka, A. Arima, F. Iachello andI. Talmi:Phys. Lett. B,76, 139 (1978);T. Otsuka, A. Arima andF. Iachello:Nucl. Phys. A,309, 1 (1978).CrossRefADSGoogle Scholar
  14. [14]
    P. O. Lipas:International Summer School on Hyperfine Interactions and Physics with Oriented Nuclei (1985), edited byM. Rotter (Charles University, Prague, 1986), p. 175.Google Scholar
  15. [15]
    D. D. Warner, R. F. Casten andW. F. Davidson:Phys. Rev. C,24, 1713 (1981).CrossRefADSGoogle Scholar
  16. [16]
    A. Aprahamian, D. S. Brenner, R. F. Casten, R. L. Gill andA. Piotrowski:Phys. Rev. Lett.,59, 535 (1987).CrossRefADSGoogle Scholar
  17. [17]
    R. F. Casten andP. von Brentano:Phys. Lett. B,152, 22 (1985).CrossRefADSGoogle Scholar
  18. [18]
    T. Otsuka:Nucl. Phys. A,368, 244 (1981).CrossRefADSGoogle Scholar
  19. [19]
    F. Iachello (Editor):Interacting Boson in Nuclear Physics (Plenum, New York, N. Y., 1979).Google Scholar
  20. [20]
    F. Iachello (Editor):Interacting Bose-Fermi Systems in Nuclei (Plenum, New York, N. Y., 1981).Google Scholar
  21. [21]
    O. Scholten: Ph.D. thesis, University of Groningen (1980).Google Scholar
  22. [22]
    G. Puddu, O. Scholten andT. Otsuka:Nucl. Phys. A,348, 109 (1980).CrossRefADSGoogle Scholar
  23. [23]
    I. Morrison:Phys. Rev. C,23, 1831 (1981).CrossRefADSGoogle Scholar
  24. [24]
    A. E. L. Dieperink:Prog. Part. Nucl. Phys.,9, 121 (1983).CrossRefADSGoogle Scholar
  25. [25]
    F. Iachello:Prog. Part. Nucl. Phys.,9, 9 (1983).CrossRefADSGoogle Scholar
  26. [26]
    A. E. L. Dieperink andI. Talmi:Phys. Lett. B,131, 1 (1983).CrossRefADSGoogle Scholar
  27. [27]
    W. D. Hamilton, A. Irbäck andJ. P. Elliott:Phys. Rev. Lett.,53, 2469 (1984).CrossRefADSGoogle Scholar
  28. [28]
    I. Talmi:Rev. Mod. Phys.,34, 259 (1962);R. F. Casten, D. D. Warner, D. S. Brenner andR. L. Gill:Phys. Rev.,47, 1433 (1981);P. Federman andS. Pittel:Phys. Rev. C,20, 820 (1979);I. Hamamoto:Nucl. Phys.,86, 208 (1966);R. A. Sorensen: inIV International Conference on Nuclei Far from Stability, edited byP. G. Hansen andO. B. Nielsen (CERN, 1981), p. 498;N. Zeldes: inIV International Conference on Nuclei far from Stability, edited byP. G. Hansen andO. B. Nielsen (CERN, 1981), p. 93;J. L. Wood: inContemporary Research Topics in Nuclear Physics, edited byD. H. Feng (Plenum, New York, N. Y., 1982), p. 451;K. Heyde andJ. Sau:Phys. Rev. C,33, 1050 (1986).CrossRefGoogle Scholar
  29. [29]
    P. Van Isacker, K. Heyde, J. Jolie andA. Sevrin:Ann. Phys. (N. Y.),171, 253 (1986).CrossRefADSGoogle Scholar
  30. [30]
    O. Scholten, K. Heyde, P. van Isacker, J. Jolie, J. Moreau, M. Waroquier andJ. Sau:Nucl. Phys.,438, 41 (1985).CrossRefGoogle Scholar
  31. [31]
    J. Lange, K. Kumar andJ. H. Hamilton:Rev. Mod. Phys.,59, 119 (1982).CrossRefADSGoogle Scholar
  32. [32]
    A. E. L. Dieperink, O. Scholten andD. D. Warner:Nucl. Phys. A,469, 173 (1987).CrossRefADSGoogle Scholar
  33. [33]
    A. Novoselsky andI. Talmi:Phys. Lett. B,160, 13 (1985).CrossRefADSGoogle Scholar
  34. [34]
    H. Harter: Ph.D. thesis, University of Cologne (1987).Google Scholar
  35. [35]
    H. Harter, A. Gelberg andP. von Brentano:Phys. Lett. B,157, 1 (1985).CrossRefADSGoogle Scholar
  36. [36]
    H. Harter, P. von Brentano, A. Gelberg andR. F. Casten:Phys. Rev. C,32, 631 (1985).CrossRefADSGoogle Scholar
  37. [37]
    P. von Brentano, A. Gelberg, H. Harter andP. Sala:J. Phys. G,11, 85 (1985).CrossRefGoogle Scholar
  38. [38]
    H. G. Solari, R. Gilmore andM. Vallieres: inNuclear Structure, Reactions and Symmetries, edited byR. A. Meyer andV. Paar (World Scientific, Singapore, 1986), p. 280.Google Scholar
  39. [39]
    A. Frank andP. van Isacker:Phys. Rev. C,32, 1770 (1985).CrossRefADSGoogle Scholar
  40. [40]
    P. O. Lipas:Prog. Part. Nucl. Phys.,1, 511 (1983).CrossRefADSGoogle Scholar
  41. [41]
    D. D. Warner andR. F. Casten:Phys. Rev. Lett.,48, 1385 (1982).CrossRefADSGoogle Scholar
  42. [42]
    D. D. Warner andR. F. Casten:Phys. Rev. C,28, 1798 (1983).CrossRefADSGoogle Scholar
  43. [43]
    P. O. Lipas: private communication.Google Scholar
  44. [44]
    D. D. Warner andR. F. Casten:Phys. Rev. C,28, 1798 (1983).CrossRefADSGoogle Scholar
  45. [45]
    P. O. Lipas, P. Toivonen andD. D. Warner:Phys. Lett. B,155, 295 (1985).CrossRefADSGoogle Scholar
  46. [46]
    O. Scholten:Phys. Rev. C,28, 1783 (1983);32, 1729 (1985).CrossRefADSGoogle Scholar
  47. [47]
    F. Iachello:Phys. Rev. Lett.,53, 1427 (1984).CrossRefADSGoogle Scholar
  48. [48]
    A. van Egmont andK. Allaart:Phys. Lett. B,113, 275 (1983).CrossRefGoogle Scholar
  49. [49]
    A. Arima, J. Ginocchio andN. Yoshiba:Nucl. Phys. A,384, 112 (1982).CrossRefADSGoogle Scholar
  50. [50]
    P. von Brentano, W. Frank, A. Gelberg, H. Harter, W. Krips, R. F. Casten, H. G. Börner andB. Krusche:J. Phys. G,14, S129 (1988).CrossRefGoogle Scholar
  51. [51]
    U. Hartmann, D. Bohle, T. Guhr, K.-D. Hummel, G. Kilgus, U. Milkau andA. Richter:Nucl. Phys. A,456, 25 (1987).CrossRefADSGoogle Scholar
  52. [52]
    H. Harter, P. O. Lipas, R. Nojarov, T. Taigel andA. Faessler:Phys. Lett. B,205, 174 (1988).CrossRefADSGoogle Scholar
  53. [53]
    R. F. Casten:Phys. Rev. Lett.,54, 1991 (1985);Phys. Lett. B,152, 145 (1985);R. F. Casten, W. Frank andP. von Brentano:Nucl. Phys. A,444, 133 (1985).CrossRefADSGoogle Scholar
  54. [54]
    P. Sala, P. von Brentano, H. Harter, B. Barrett andR. F. Casten:Nucl. Phys. A,456, 249 (1986).CrossRefADSGoogle Scholar

Copyright information

© Società Italiana di Fisica 1991

Authors and Affiliations

  • H. Harter
    • 1
    • 2
  1. 1.Institut für KernphysikUniversität zu KölnKöln 41Deutschland
  2. 2.Institut für Theoretische PhysikUniversität TübingenTübingenDeutschland

Personalised recommendations