Skip to main content

Recent Progress in the 3N- and 4N-Problem

  • Chapter
Contemporary Topics in Medium Energy Physics

Abstract

What is a useful Hamiltonian for low energy nuclear physics (below the pion threshold) to describe bound and scattering states? Is it a good approximation to use the same 2N interaction, which acts between two free nucleons? Are 3-body forces (or even forces between more than three particles) required? Is the nonrelativistic framework sufficient? These are old questions. The existence of modern supercomputers combined with powerful algorithms allow a quantitative access to an answer by solving few-nucleon equations precisely and thereby testing dynamical concepts.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. L.D. Faddeev, Sov.Phys. JETP 12: 1014 (1961).

    MathSciNet  Google Scholar 

  2. H. Witala, Th. Cornelius, and W. Glöckle, Few-Body Systems 3: 123 (1988).

    Article  ADS  Google Scholar 

  3. W. Glöckle, Lecture Notes in Physics 273: 3 (1987).

    Article  ADS  Google Scholar 

  4. W. Glöckle, “The Quantum Mechanical Few-Body Problem”, Springer Verlag, Berlin-Heidelberg (1983).

    Book  Google Scholar 

  5. W. Glöckle, H. Witala, and Th. Cornelius, Nucl. Phys. A 508: 115c (1989).

    Google Scholar 

  6. W. Glöckle, H. Witala, and Th. Cornelius, in: Proceedings of the 25th Zakopane School on Physics, Vol 2: Selected Topics in Nuclear Structure, ed.: J. Styczen and Z. Stachura, World Scientific, Singapore (1990), page 300.

    Google Scholar 

  7. R.B. Wiringa, R. A. Smith, T. L. Ainsworth, Phys. Rev. C 29: 1207 (1984).

    Article  ADS  Google Scholar 

  8. M.M. Nagels, T.A. Rijken, and J.J. de Swart, Phys. Rev. D 17: 768 (1978).

    Article  ADS  Google Scholar 

  9. M. Lacombe et al, Phys. Rev. C 21: 861 (1980).

    Article  ADS  Google Scholar 

  10. R. Machleidt, Adv. Nucl. Phys. 19: 189 (1989).

    Article  Google Scholar 

  11. R.A.Arndt,L.D. Roper, R.L.Workman, M.W. McNaughton, Phys. Rev. D45: 3995(1992) and SAID 1992.

    Google Scholar 

  12. R.A.M. Klomp, V.G.J. Stoks, and J.J. de Swart, Phys. Rev. C 45: 2023 (1992)

    Article  ADS  Google Scholar 

  13. J.J. de Swart, R.A. M. Klomp, T.A. Rijken, and V.G.J. Stoks, Few-Body Systems, Suppl. 6: 105 (1992).

    Google Scholar 

  14. R. Henneck, preprint 1992.

    Google Scholar 

  15. G.H. Berthold, A. Stadler, and H. Zankel, Phys. Rev. Lett. 61: 1077 (1988)

    Article  ADS  Google Scholar 

  16. G.H. Berthold, A. Stadler, and H. Zankel, Phys. Rev. C 41: 1365 (1990).

    Article  ADS  Google Scholar 

  17. W. Tornow, C.R. Howell, R.L. Walter, and I. Slaus, Phys. Rev. C 45: 459 (1992).

    Article  ADS  Google Scholar 

  18. H. Witala, and W. Glöckle, Nucl. Phys. A 528: 48 (1991).

    Article  ADS  Google Scholar 

  19. R. Machleidt, private communication.

    Google Scholar 

  20. W. von Witsch, private communication.

    Google Scholar 

  21. J. Krug, private communication.

    Google Scholar 

  22. C.R. Howell et al, Phys. Rev. Lett. 61: 1565 (1988)

    Article  ADS  Google Scholar 

  23. H. Witala, W. Glöckle, and Th. Cornelius, Phys Rev. C 39: 384 (1985).

    Article  ADS  Google Scholar 

  24. O.A. Yakubovsky, Sov. J. Nucl. Phys. 5: 937 (1967).

    Google Scholar 

  25. P. Grassberger, and W. Sandhas, Nucl. Phys. B 2: 181 (1967)

    Article  ADS  Google Scholar 

  26. E.O. Alt, P. Grassberger, and W. Sandhas, Phys. Rev C 1: 85 (1970).

    Article  ADS  Google Scholar 

  27. H. Kamada, and W. Glöckle, Nucl. Phys. A 548: 205 (1992).

    Article  ADS  Google Scholar 

  28. H. Kamada, and W. Glöckle, Phys. Lett. B 292: 1 (1992).

    Article  ADS  Google Scholar 

  29. N.W. Schellingerhout, J.J. Schut, and L.P. Kok, Phys. Rev. C 46: 1192 (1992).

    Article  ADS  Google Scholar 

  30. S.B. Merkuriev, S.L. Yakovlev, and C. Gignoux, Nucl. Phys. A 431: 125 (1984).

    Article  MathSciNet  ADS  Google Scholar 

  31. W.N. Polyzou and W.Glöckle, Few-Body Systems 9: 97 (1990).

    Article  MathSciNet  ADS  Google Scholar 

  32. J.L. Friar, B.F. Gibson, G.L. Payne and C.R. Chen, Phys. Lett. 247B: 197 (1990)

    Google Scholar 

  33. C.R. Chen, G.L. Payne, J.L. Friar and B.F. Gibson, Phys. Rev. C 44: 50 (1991).

    Article  ADS  Google Scholar 

  34. CINDA, International Atomic Agency, Vienna, (1988).

    Google Scholar 

  35. W. Grüebler, V. König, P.A. Schmelzbach, F. Sperisen, B. Jenny, R.E. White, F. Seiler and H.W. Raser, Nucl. Phys. A 398: 445 (1983)

    Article  ADS  Google Scholar 

  36. A.C. Berick, R.A. Riddle and C.M. York, Phys. Rev. 174: 1105 (1968).

    Article  ADS  Google Scholar 

  37. G. Janson, Ph. D. thesis, Universitet Uppsala (1985).

    Google Scholar 

  38. H. Shimizu et al, Nucl. Phys. A 382: 242 (1982).

    Article  ADS  Google Scholar 

  39. H. Rühl et al, Nucl. Phys. A 524: 377 (1991).

    Article  ADS  Google Scholar 

  40. J.M. Cameron, private communication.

    Google Scholar 

  41. F. Sperisen et al., Nucl. Phys. A 422: 81 (1984).

    Article  ADS  Google Scholar 

  42. M.Sawada et al., Phys, Rev. C 27: 1932 (1983).

    Google Scholar 

  43. W. Tornow et al., Phys. Rev. Lett. 49: 312 (1982).

    Article  ADS  Google Scholar 

  44. K. Sagara, private communication.

    Google Scholar 

  45. H. Paetz gen. Schieck, private communication.

    Google Scholar 

  46. G. Rauprich et al., Nucl. Phys. A 535: 313 (1991).

    Article  ADS  Google Scholar 

  47. F. Foroughi et al., J. Phys. G: Nucl. Phys. 11: 59 (1985).

    Article  ADS  Google Scholar 

  48. B. Dechant, Ph. D. thesis, Ruhr Universität Bochum (1992).

    Google Scholar 

  49. K. Bodek, private communication.

    Google Scholar 

  50. M. Stephan et al., Phys. Rev. C 39: 2133 (1989).

    Article  ADS  Google Scholar 

  51. E. Finckh, private communication.

    Google Scholar 

  52. J. Strate et al, J. Phys. G: Nucl. Phys. L 229: 14 (1988).

    Google Scholar 

  53. G.A. Baker, J. L. Gammel, B. J. Hill, J. G. Wills, Phys. Rev. 125: 1754 (1962).

    Article  MathSciNet  ADS  Google Scholar 

  54. A.B. Volkov, Nucl. Phys. 74: 33 (1965).

    Article  Google Scholar 

  55. I.R. Afnan, Y. C. Tang, Phys. Rev. 175: 1337 (1968).

    Article  ADS  Google Scholar 

  56. R.A. Malfliet, J. A. Tjon, Nucl. Phys. Al27: 161 (1969).

    Google Scholar 

  57. M. Kamimura, H. Kameyama, Nucl. Phys. A508: 117c (1990).

    Google Scholar 

  58. H. Tanaka, Suppl. of Prog. Theor. Phys. 56: 1 (1974).

    ADS  Google Scholar 

  59. J. Carlson, V. R. Pandharipande, R. B. Wiringa, Nucl. Phys. A 401: 59 (1983).

    Article  ADS  Google Scholar 

  60. R.V. Reid, Ann. of Phys. 50: 411 (1968).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1994 Springer Science+Business Media New York

About this chapter

Cite this chapter

Glöckle, W., Kamada, H., Witała, H. (1994). Recent Progress in the 3N- and 4N-Problem. In: Goeke, K., Hwang, WY.P., Speth, J. (eds) Contemporary Topics in Medium Energy Physics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9835-7_19

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-9835-7_19

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-9837-1

  • Online ISBN: 978-1-4757-9835-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics