Advertisement

Coulomb Effects on Few-Body Scattering States

  • E. O. Alt
Part of the Few-Body Systems book series (FEWBODY, volume 1)

Abstract

Modifications of stationary momentum space scattering theory, necessitated by the presence of Coulomb forces, are described, both in the formalism which uses unscreened Coulomb potentials and in the screening and renormalization approach. Thereby, emphasis is laid on exposing the conceptual differences, as well as the different, presently achieved status of applicability. Some of the unresolved problems in both methods are enumerated.

Keywords

Coulomb Potential Scattering Amplitude Screen Coulomb Potential Infinite Range Reaction Amplitude 
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.
    Noble, J.U.: Phys.Rev. 161, 945 (1967).Google Scholar
  2. 2.
    Faddeev, L.D.: in Mc Kee, J.S.C., Rolph, P.M. (eds.): Three Body Problem in Nuclear and Particle Physics, p.154. Amsterdam: North-Holland 1970.Google Scholar
  3. Veselova, A.M.: Theor.Math.Phys. 3,542(1970).Google Scholar
  4. 3.
    Prugovecki, E., Zorbas, J.: Nucl.Phys. A213, 541 (1973);MathSciNetGoogle Scholar
  5. Zorbas, J.: J.Math.Phys. 18, 1112 (1977).Google Scholar
  6. 4.
    Alt, E.O.: in Mitra, A.N., Slaus, I., Bhasin, V.S., Gupta, U.K. (eds.): Few Body Dynamics, p.76. Amsterdam: North-Holland 1976.Google Scholar
  7. 5.
    Alt, E.O., Grassberger, P., Sandhas, W.: Nucl.Phys. B2, 167 (1967).Google Scholar
  8. 6.
    Grassberger, P., Sandhas, W.: Nucl.Phys. B2, 181 (1967).Google Scholar
  9. 7.
    Veselova, A.M.: Theor.Math.Phys. 13, 368 (1972).Google Scholar
  10. 8.
    Rosenberg, L.: Phys.Rev. D8, 1833 (1973).Google Scholar
  11. 9.
    Herbst, I.W.: Commun.Math.Phys. 35, 181 (1974).Google Scholar
  12. 10.
    Bajzer, Z.: Z.Physik A278, 97 (1976).ADSGoogle Scholar
  13. 11.
    Ford, W.F.: Phys.Rev. 133, 81616 (1964).Google Scholar
  14. 12.
    van Haeringen, H., van Wageningen, R.: J.Math.Phys. 16, 1441 (1975).MathSciNetGoogle Scholar
  15. 13.
    Guth, E., Mullin, C.J.: Phys.Rev. 83, 667 (1951).Google Scholar
  16. 14.
    Taylor, J.R.: Nuovo Cim. B23, 313 (1974);Google Scholar
  17. Semon, M.D., Taylor, J.R Nuovo Cim. A26, 48 (1975).Google Scholar
  18. 15.
    Gorshkov, U.G.: Sov.Phys. — JETP 13, 1037 (1961).Google Scholar
  19. 16.
    Ford, W.F.: J.Math.Phys. 7, 626 (1966).Google Scholar
  20. 17.
    Goodmanson, D.M., Taylor, J.R.: J.Math.Phys. 21, 2202 (1980).MathSciNetGoogle Scholar
  21. 18.
    van Haeringen, H.: Charged-Particle-Interactions. Leiden: Coulomb Press Leyden 1985.Google Scholar
  22. 19.
    Veselova, A.M.: in Few Particle Problem in Nuclear Physics, p. 326. Dubna: JINR 1980.Google Scholar
  23. 20.
    Alt, E.O.: in Lim, T.K., Bao, C.G., Hou, D.P., Huber, S. (eds.): Few Body Methods: Principles and Applications. Singapore: World Scientific 1986.Google Scholar
  24. 21.
    Schwinger, J.: J.Math.Phys. 5, 1606 (1964).MathSciNetGoogle Scholar
  25. 22.
    Okubo, S., Feldman, D.: Phys.Rev. 117, 292 (1960).Google Scholar
  26. 23.
    Bajzer, Z.: in Pisent, G., Vanzani, V., Fonda, L. (eds.): Few-Body Nuclear Physics, p.365. Trieste: ICTP 1978.Google Scholar
  27. 24.
    Dollard, J.D.: J.Math.Phys. 5,729(1964); Rocky Mtn. J.Math. 1, 5 (1971).Google Scholar
  28. Dollard, J.D.: Rocky Mtn. J.Math. 1, 5 (1971).Google Scholar
  29. 25.
    Zorbas, J.: Lett.Nuovo Cim. 10, 121 (1974).Google Scholar
  30. 26.
    Alt, E.O., Sandhas, W.: Phys.Rev. C21, 1733 (1980).Google Scholar
  31. 27.
    Thalheim, H.O.: Diploma thesis, University of Mainz, 1984: unpublished.Google Scholar
  32. 28.
    Veselova, A.M.: Theor.Math.Phys. 35, 180 (1978).Google Scholar
  33. 29.
    Kok, L.P., van Haeringen, H.: Phys.Rev. C21, 512 (1980).Google Scholar
  34. 30.
    Kharchenko, U.F., Shadchin, S.A., Zepalova, M.L.: J.Phys. B18, 949 (1985).Google Scholar
  35. 31.
    Avakov, G.U., Ashurov, A.R., Levin, U.G., Mukhamedzhanov, A.M.: J.Phys. A17, 1131 (1984).MathSciNetGoogle Scholar
  36. 32.
    Alt, E.O., Sandhas, W., Ziegelmann, H.: Phys.Rev. C17, 1981 (1978).MathSciNetGoogle Scholar
  37. 33.
    Alt, E.O.: in Pisent, G., Vanzani, V., Fonda, L. (eds.): Few Body Nuclear Physics, p.271. Trieste: ICTP 1978.Google Scholar
  38. 34.
    Zorbas, J.: J.Phys. A7, 1557 (1974).Google Scholar
  39. 35.
    Alt, E.O., Sandhas, W.: in Zingl, H., Haftel, M., Zankel, H. (eds.): Few Body Systems and Nuclear Forces, Vol.I, p.373. Berlin: Springer 1978.Google Scholar
  40. 36.
    Alt, E.O., Sandhas, W., Ziegelmann, H.: Nucl.Phys. A445, 429 (1985);Google Scholar
  41. Alt, E.O.: in Bencze, Gy., Doleschall, P., Revai, J. (eds.): Dynamics of Few Body Systems. Budapest: KFKI 1986.Google Scholar

Copyright information

© Springer-Verlag/Wien 1986

Authors and Affiliations

  • E. O. Alt
    • 1
  1. 1.Institut für PhysikJohannes Gutenberg-UniversitätMainzWest Germany

Personalised recommendations