The Nuclear Force and Two-Body Systems

  • Noboru Takigawa
  • Kouhei Washiyama


The strong interaction between nucleons which is called the nuclear force plays the central role in nuclear physics. Compared with the Coulomb interaction between two charged particles, which plays the exclusive role in condensed matter physics, the nuclear force is fairly complicated reflecting the fact that nucleons are composite particles and have spin and isospin degrees of freedom. There are several different approaches to uncover nuclear force. The one is to consider the most general possibility under the constraints from the consideration of symmetry or transformation invariance. The other is a phenomenological approach. The meson theory is also an attractive historical approach, which is often combined with phenomenological approaches. Recently, approaches based on QCD are also introduced. A difficulty of nuclear force is that the effective force inside nucleus is fairly different from the bare interaction between two nucleons in free space. In this chapter we overview the basic properties and the current understanding of the nuclear force.


Nuclear Force Tensor Force Repulsive Core Meson Field Gauge Particle 
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.


  1. 1.
    W.-M. Yao et al. (Particle Data Group), J. Phys. G 33, 1 (2006)Google Scholar
  2. 2.
    P.J. Mohr, B.N. Taylor, D.B. Newell, Rev. Mod. Phys. 84, 1527 (2010)ADSCrossRefGoogle Scholar
  3. 3.
    M. Pavanello, W.-C. Tung, L. Adamowicz, Phys. Rev. A 81, 042526 (2012)ADSCrossRefGoogle Scholar
  4. 4.
    G.E. Brown, A.D. Jackson, The Nucleon-Nucleon Interaction (North-Holland, Amsterdam, 1976)Google Scholar
  5. 5.
    L. Hulthén, K.V. Laurikainen, Rev. Mod. Phys. 23, 1 (1951)ADSMathSciNetCrossRefGoogle Scholar
  6. 6.
    K. Kubo, K. Katori, Spin and Polarization, Japanese edn. (Baifukan, Tokyo, 1994)Google Scholar
  7. 7.
    L.I. Schiff, Quantum Mechanics (McGraw-Hill Kogakusha, Tokyo, 1968)MATHGoogle Scholar
  8. 8.
    M. Nogami, Nuclear Physics, Japanese edn. (Shoukabou, Tokyo, 1973)Google Scholar
  9. 9.
    N.A. Jelly, Fundamentals of Nuclear Physics (Cambridge University Press, Cambridge, 1990)CrossRefGoogle Scholar
  10. 10.
    R. Machleidt, Nucl. Phys. A 689, 11c (2001); L. Jäde, H.V. von Geramb, Phys. Rev. C 57, 496 (1998); K. Amos et al. Adv. Nucl. Phys. 25, 276 (2002)Google Scholar
  11. 11.
    R.B. Wiringa, V.G.J. Stoks, R. Schiavilla, Phys. Rev. C 51, 38 (1995); R.B. Wiringa, R.A. Smith, T.L. Ainsworth. Phys. Rev. C 29, 1207 (1984)Google Scholar
  12. 12.
    R. Machleidt, K. Holinde, Ch. Elster, Phys. Rep. 149, 1 (1987); J. Haidenbauer, K. Holinde, Phys. Rev. C 40, 2465 (1989); R. Machleidt. Adv. Nucl. Phys. 19, 189 (1989)Google Scholar
  13. 13.
    M. Lacombe, B. Loiseau, J.M. Richard, R. Vinh Mau, J. Côté, P. Pirès, R. de Tourreil, 21, 861 (1980)Google Scholar
  14. 14.
    M.M. Nagels, T.A. Rijken, J.J. de Swart, Phys. Rev. D 17, 768 (1978); P.M.M. Maessen, T.A. Rijken, J.J. de Swart, Phys. Rev. C 40, 2226 (1989); V.G.J. Stoks, R.A.M. Klomp, C.P.F. Terheggen, J.J. de Swart. Phys. Rev. C 49, 2950 (1994)Google Scholar
  15. 15.
    R.H. Stahl, N.F. Ramsey, Phys. Rev. 96, 1310 (1954)ADSCrossRefGoogle Scholar
  16. 16.
    R.A. Arndt, M.H. MacGregor, Phys. Rev. 141, 873 (1966)ADSCrossRefGoogle Scholar
  17. 17.
    K. Yazaki, Prog. Theor. Phys. Suppl. 91, 146 (1987)ADSCrossRefGoogle Scholar
  18. 18.
    R. Machleidt, D.R. Entem, J. Phys. Conf. Ser. 20, 77 (2005)CrossRefGoogle Scholar
  19. 19.
    N. Ishii, S. Aoki, T. Hatsuda, Phys. Rev. Lett. 99, 022001 (2007); S. Aoki, T. Hatsuda, N. Ishii, Comput. Sci. Disc. 1, 015009 (2008); Prog. Theor. Phys. 123, 89 (2010)Google Scholar
  20. 20.
    T. Hamada, I.D. Johnston, Nucl. Phys. A 34, 382 (1962)CrossRefGoogle Scholar
  21. 21.
    P.V. Reid, Ann. Phys. 50, 411 (1968)ADSCrossRefGoogle Scholar
  22. 22.
    J.A. Nolen, J.P. Schiffer, Ann. Rev. Nucl. Sci. 19, 471 (1969)ADSCrossRefGoogle Scholar
  23. 23.
    Aage Bohr, Ben R. Mottelson, Nuclear Structure, vol. I (Benjamin, New York, 1969)MATHGoogle Scholar
  24. 24.
    R. Tamagaki, Frontiers of Physics, vol. 15 (Kyouritsu, Tokyo, 1986). Japanese editionGoogle Scholar
  25. 25.
    G.E. Brown, Unified Theory of Nuclear Models and Forces (North-Holland, Amsterdam, 1967)Google Scholar
  26. 26.
    G.R. Satchler, Direct Nuclear Reactions (Clarendon Press, Oxford, 1983)MATHGoogle Scholar
  27. 27.
    S. Fujii, R. Okamoto, K. Suzuki, Phys. Rev. Lett. 113, 182501 (2009); K. Suzuki, R. Okamoto, BUTSURI 42, 263 (1987); K. Suzuki, S.Y. Lee, Prog. Theor. Phys. 64, 2091 (1980)Google Scholar
  28. 28.
    A.B. Volkov, Phys. Lett. 12, 118 (1964); Nucl. Phys. 74, 33 (1965)Google Scholar
  29. 29.
    D.M. Brink, E. Boeker, Nucl. Phys. 91, 1 (1967)CrossRefGoogle Scholar
  30. 30.
    A. Hasegawa, S. Nagata, Prog. Theor. Phys. 45, 786 (1971)CrossRefGoogle Scholar
  31. 31.
    D.R. Thompson, Y.C. Tang, Phys. Rev. 159, 806 (1967)ADSCrossRefGoogle Scholar
  32. 32.
    D.M. Brink, in Proceedings of the International School of Physics “Enrico Fermi”, Course XXXVI, Varenna, 1965, ed. by C. Bloch (Academic Press, New York, 1966), p.247Google Scholar

Copyright information

© Springer Japan 2017

Authors and Affiliations

  1. 1.Department of PhysicsGraduate School of Science, Tohoku UniversitySendaiJapan
  2. 2.Center for Computational SciencesUniversity of TsukubaTsukubaJapan

Personalised recommendations