Advertisement

Hyperspherical Calculations for Four-Nucleon Systems

  • J. L. Ballot
Part of the Few-Body Systems book series (FEWBODY, volume 1)

Abstract

We develop hyperspherical calculations on the bound states of four-nucleon systems and particularly. the fondamental level and the first 0+ excited states. With neglect of the Coulomb effect, we analyze the convergence of the optimal subset expansion for the binding energies calculated for central or realistic potentials.

Keywords

Wave Function Permutation Group Couple Equation Total Angular Momentum Coulomb Force 
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.
    Narodetsky, I.M.: Nucl. Phys. A221, 191 (1974)CrossRefGoogle Scholar
  2. 2.
    Gibson, B.F., Lehman, D.R.: Phys. Rev. C14, 685 (1976)ADSGoogle Scholar
  3. 3.
    Sofianos, S., Fiedelday, H., McGurk, N.J.: Phys. Lett. 68B, 117 (1977); Nucl. Phys. A294, 49 (1978)Google Scholar
  4. 4.
    Perne, R., Sandhas, W.: Phys. Rev. Lett. 39, 788 (1977)ADSCrossRefGoogle Scholar
  5. 5.
    Kröger, H., Sandhas, W.: Phys. Rev. Lett. 40, 834 (1978)ADSCrossRefGoogle Scholar
  6. 6.
    Narodetsky, J.M.: preprint 1979Google Scholar
  7. 7.
    Tjon, J.A.: Phys. Lett. 56B, 217 (1975)Google Scholar
  8. 8.
    Tjon, J.A.: Phys. Rev. Lett. 40, 1239 (1978)ADSCrossRefGoogle Scholar
  9. 9.
    Zabolitzky, J.G.: Nucl. Phys. A228, 272 (1974)CrossRefGoogle Scholar
  10. 10.
    Kümmel, H., Lührmann, K.M., Zabolitzky, J.G.: Phys. Rev. 36C, 11 (1978)Google Scholar
  11. 11.
    Zabolitzky, J.G.: Phys. Lett. 100B, 5 (1981)Google Scholar
  12. 12.
    Akaishi, Y., Sakai, M., Hiura, J., Tanaka, H.: Prog. Theo. Phys. 56, 7 (1975)Google Scholar
  13. 13.
    Sakai, M., Shimodaya, I., Akaishi, Y., Hiura, J., Tanaka, H.: Prog. Theo. Phys. 56, 32 (1975)ADSGoogle Scholar
  14. 14.
    Carlson, J., Pandharipande, V.R., Wiringa, R.B.: Nucl. Phys. A401, 59 (1983)CrossRefGoogle Scholar
  15. 15.
    Demin, V.F., Pokrovsky, Y.E., Efros, V.D.: Phys. Lett. 44B, 227 (1973)CrossRefGoogle Scholar
  16. 16.
    Ballot, J.L., Beiner, M., Fabre de la Ripelle, M.: The nuclear many body problem, eds. Calogero, F., Ciofi Degli Atti, C., Vol. 1, Editrice Compositori, Bologna, 1973 p. 565Google Scholar
  17. 17.
    Ballot, J.L.: Z. Phys. A302, 347 (1981)ADSGoogle Scholar
  18. 18.
    Ballot, J.L.: Phys. Lett. 127B, 399 (1983)Google Scholar
  19. 19.
    Ballot, J.L., Fabre de la Ripelle, M., Levinger, J.S.: Phys. Rev. C26, 2301 (1982)ADSGoogle Scholar
  20. 20.
    Afnan, I.R., Tang, Y.C.: Phys. Rev. 175, 1337 (1968)ADSCrossRefGoogle Scholar
  21. 21.
    Volkov, A.B.: Nucl. Phys. 74, 33 (1965)CrossRefGoogle Scholar
  22. 22.
    Fantoni, S., Panattoni, L., Rosati, S.: Nuov. Cim. 67A, 80 (1970)ADSCrossRefGoogle Scholar
  23. 23.
    Malfliet, R.A., Tjon, J.A.: Nucl. Phys. Al27, 161 (1969)CrossRefGoogle Scholar
  24. 24.
    Gogny, D., Pirès, P., De Tourreil, R.: Phys. Lett. B32, 591 (1970)Google Scholar
  25. 25.
    Merkuriev, S.P., Yakoviev, S.L., Gignoux, C.: Nucl. Phys. A431, 125 (1984)CrossRefGoogle Scholar
  26. 26.
    De Tourreil, R., Sprung, D.W.L.: Nucl. Phys. A201, 193 (1973)CrossRefGoogle Scholar
  27. 27.
    Lagaris, I.E., Pandharipande, V.R.: Nucl. Phys. A359, 331 (1981)CrossRefGoogle Scholar
  28. 28.
    Goldhammer, P.: Phys. Rev. C29, 1444 (1984)ADSGoogle Scholar
  29. 29.
    Tjon, J.A.: Phys. Rev. Lett. 40, 1239 (1978)ADSCrossRefGoogle Scholar
  30. 30.
    Ballot, J.L., Fabre de la Ripelle, M.: Ann. Phys. (NY) 127, 62 (1980)ADSCrossRefGoogle Scholar
  31. 31.
    Ballot, J.L.: to be publishedGoogle Scholar
  32. 32.
    Schneider, T.K.: Phys. Lett. 40B, 439 (1972)Google Scholar
  33. 33.
    Fomin, B.A., Efros, V.D.: Sov. J. NuCl. Phys. 31, 748 (1980); Phys. Lett. 98B, 389 (1981); Sov. J. Nucl. Phys. 34, 327 (1981)Google Scholar
  34. 34.
    Fomin, B.A.: Sov. J. Nucl. Phys. 33, 612 (1981)Google Scholar
  35. 35.
    Fomin, B.A., Efros, V.D.: Soy. J. Nucl. Phys. 34, 485 (1981).Google Scholar

Copyright information

© Springer-Verlag/Wien 1986

Authors and Affiliations

  • J. L. Ballot
    • 1
  1. 1.Division de Physique ThéoriqueInstitut de Physique NucléaireOrsay CedexFrance

Personalised recommendations