Advertisement

The theory of the three nucleon force

  • Bruce H. J. McKellar
Plenary Session — Joint Session
Part of the Lecture Notes in Physics book series (LNP, volume 260)

Abstract

Perhaps the best summary is to collect the suggestions made through this review which outline the open problems, some of which are easier than others. One should be trying to:
  1. i)

    resolve the form factor ambiguities,

     
  2. ii)

    settle the importance of higher order terms in momentum space,

     
  3. iii)

    find a consistent framework for computing σ,σ and 3-σ, σ,σ,σ and 3-π contributions to the potential,

     
  4. iv)

    discuss quark-contributions,

     
  5. v)

    discard or modify models which do not respect theoretical and experimental constraints on the input amplitudes, and

     
  6. vi)

    use the π,ρ and ρ,ρ potentials in calculations.

     

I hope to hear progress on these questions at the next international symposium on the three-nucleon force.

Keywords

Form Factor Exchange Potential Cutoff Parameter Session Chairman Model Independent Calculation 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    H. Primakoff and T. Holstein, Phys. Rev. 55, 1218 (1939).CrossRefGoogle Scholar
  2. 2.
    I. Fujita and H. Miyazawa, Prog. Theor. Phys. 17, 360 (1957).Google Scholar
  3. 3.
    G. E. Brown, A. M. Green and W. J. Gerace, Nucl. Phys. A115, 435 (1968).CrossRefGoogle Scholar
  4. 4.
    B. R. Barrett, S. A. Coon and M. D. Scadron, Nucl. Phys. A242, 467 (1975).CrossRefGoogle Scholar
  5. 5.
    S. A. Coon, M. D. Scadron, P. C. McNamee, B. R. Barrett, D. W. E. Blatt and B. H. J. McKellar, Nucl. Phys. A317, 242 (1979).CrossRefGoogle Scholar
  6. 6.
    R. G. Ellis, S. A. Coon, and B. H. J. McKellar, Nucl. Phys. A438, 631 (1985).CrossRefGoogle Scholar
  7. 7.
    B. H. J. McKellar and W. Glöckle, Nucl. Phys. A416, 435c (1984), see also S. A. Coon, in Lecture Notes in Physics 142, ed. J. G. Zabolitzky et al. (Springer, Heidelberg, 1981) p. 407, and J. L. Friar, B. F. Gibson and G. L. Payne, Ann. Rev. Nucl. Part. Sci. 34, 403 (1984).CrossRefGoogle Scholar
  8. 8.
    M. R. Robilotta and M. P. Isidro Filho, Nucl. Phys. A414, 394 (1984).CrossRefGoogle Scholar
  9. 9.
    C. R. Chen, G. L. Payne, J. L. Friar, and B. F. Gibson, Los Alamos preprint LA-UR-85-4394 (1985).Google Scholar
  10. 10.
    S. Barshay and G. E. Brown, Phys. Rev. Letters 34, 1106 (1975).CrossRefGoogle Scholar
  11. 11.
    B. Keister and R. Wiringa, Argonne preprint PHY-4723-TH-86 (1986).Google Scholar
  12. 12.
    Ch. Hajduk, P. U. Sauer and W. Strueve, Nucl. Phys. A405, 581 (1983), Ch. Hajduk, P. U. Sauer and S. N. Yang, Nucl Phys. A405, 605 (1983).CrossRefGoogle Scholar
  13. 13.
    P. U. Sauer, these proceedings.Google Scholar
  14. 14.
    K. Maltman, Nucl. Phys. A439 648 (1985); Y. Suzuki and K. T. Hecht, Phys. Rev. C 29, 1586 (1984).CrossRefGoogle Scholar
  15. 15.
    G. N. Epstein and B. H. J. McKellar, Phys. Rev. D 10, 1005, 2169 (1974).CrossRefGoogle Scholar
  16. 16.
    W. N. Cottingham, M. Lacombe, B. Loiscau, J. M. Richard, and R. Vinh Mau, Phys. Rev. D 8, 800 (1973).CrossRefGoogle Scholar
  17. 17.
    M. Chemtob, J. W. Durso and D. O. Riska, Nucl. Phys. B38, 141 (1972).CrossRefGoogle Scholar
  18. 18.
    K. Holinde, Phys. Reports 68, 121 (1981).CrossRefGoogle Scholar
  19. 19.
    S. A. Coon, Invited paper, Bochum Workshop on Three Body Forces (1983).Google Scholar
  20. 20.
    The sigma model can be adjusted to satisfy the constraints by a suitable choice of parameters.Google Scholar
  21. 21.
    H. T. Coelho, T. K. Das and M. R. Robilotta, Phys. Rev. C 28, 1812 (1983).CrossRefGoogle Scholar
  22. 22.
    The Δ dominance models implied in ref. 12 do not satisfy the constraints.Google Scholar
  23. 23.
    M. Martzolff, B. Loiseau and P. Grange, Phys. Letters 92B, 46 (1980).CrossRefGoogle Scholar
  24. 24.
    A. Cass and B. H. J. McKellar, Nucl. Phys. B166, 399 (1980); W. T. Nutt and B. Loiseau, Nucl. Phys. B104, 98 (1976).CrossRefGoogle Scholar
  25. 25.
    S. A. Coon and M. D. Scadron, Phys. Rev. C 23, 1150 (1983).CrossRefGoogle Scholar
  26. 26.
    M. R. Robilotta, M. P. Isidro Filho, H. T. Coelho and T. K. Das, Phys. Rev. C31, 646 (1985).CrossRefGoogle Scholar
  27. 27.
    J. L. Friar and S. A. Coon, to be published.Google Scholar
  28. 28.
    S. N. Yang and W. Glockle, Phys. Rev. C (to be published).Google Scholar
  29. 29.
    J. L. Friar, Ann. Phys. 104, 380 (1977).CrossRefGoogle Scholar
  30. 30.
    S. N. Yang, Phys. Rev. C 10, 2067 (1974).CrossRefGoogle Scholar
  31. 31.
    P. T. Mathews, Phys. Rev. 75, 1270 (1949).CrossRefGoogle Scholar
  32. 32.
    J. J. Sakurai, Ann. Phys. 11, 1 (1960).CrossRefGoogle Scholar
  33. 33.
    Y. Brihaye, N. K. Pak and P. Rossi, Phys. Lett. 149B, 191 (1984), Nucl. Phys. B254, 71 (1985).CrossRefGoogle Scholar
  34. 34.
    N. Kroll and M. A. Ruderman, Phys. Rev. 93, 233 (1954).CrossRefGoogle Scholar
  35. 35.
    N. Dombey and B. J. Read, Nucl. Phys. B60, 65 (1973).CrossRefGoogle Scholar
  36. 36.
    M. A. B. Bég, Phys. Rev. 150, 1276 (1966).CrossRefGoogle Scholar
  37. 37.
    P. Christillin and S. Servadio, Nuovo Cimento 42A, 165 (1977).Google Scholar
  38. 38.
    J. Wess and B. Zumino, Phys. Rev. 163, 1727 (1967).CrossRefGoogle Scholar
  39. 39.
    J. W. Durso, G. E. Brown and M. Sarella, Nucl. Phys. A430, 653 (1984).CrossRefGoogle Scholar
  40. 40.
    See e.g. B. D. Serot and J. D. Walecka, Advances in Nuclear Physics 16, 1 (1986).Google Scholar
  41. 41.
    E. M. Nyman and M. Rho, Nucl. Phys. A268, 408 (1976) and A290 493 (1977).CrossRefGoogle Scholar
  42. 42.
    E. M. Nyman, in Mesons in Nuclei, ed. M. Rho and D. H. Wilkinson (North Holland Publishing Co., Amsterdam, 1979), p. 890.Google Scholar
  43. 43.
    T. D. Lee and G. C. Wick, Phys. Rev. D 29 2291 (1974).CrossRefGoogle Scholar
  44. 44.
    S. Drell and K. Huang, Phys. Rev. 91, 1527 (1953).CrossRefGoogle Scholar
  45. 45.
    I. Fujita, M. Kawai and M. Tanifuji, Nucl. Phys. 29, 252 (1962).CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • Bruce H. J. McKellar
    • 1
  1. 1.School of PhysicsUniversity of MelbourneParkvilleAustralia

Personalised recommendations