Skip to main content
SpringerLink
Log in

Eikonal multiple-scattering model within the framework of Feynman’s positron theory

  • Published:
Il Nuovo Cimento A (1965-1970)

Summary

The Bethe-Salpeter equation for nucleon-nucleon, nucleon-nucleus and nucleus-nucleus collisions is eikonalized. Multiple-scattering series is obtained. The model presented below may be used to investigate atomic collisions.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. C. Wilkin:Phys. Rev. Lett.,17, 561 (1966).

    Article  ADS  Google Scholar 

  2. C. Alberi andL. Bertocchi:Nuovo Cimento A,61, 263 (1969).

    Article  Google Scholar 

  3. J. Pumplin andM. Ross:Phys. Rev. Lett.,21, 1778 (1968).

    Article  ADS  Google Scholar 

  4. E. S. Abers, H. Burkhard, V. L. Teplitz andC. Wilkin:Nuovo Cimento A,42 365 (1966).

    Article  ADS  Google Scholar 

  5. L. Bertocchi andA. Capella:Nuovo Cimento A,51, 369 (1967).

    Article  ADS  Google Scholar 

  6. C. Alberi andL. Bertocchi:Nuovo Cimento A,63, 285 (1969).

    Article  ADS  Google Scholar 

  7. C. Wilkin: inProceedings of the Summer Institute on Diffractive Processes (Montreal, 1969).

  8. L. Bertocchi: inProceedings of the International School of Elementary Particle Physics (Herceg Novi, 1969).

  9. L. V. Gribov:Ž. Ėksp. Teor. Fiz.,57, 1306 (1969); English translation:Sov. Phys. JETP,30, 709 (1970).

    Google Scholar 

  10. L. Bertocchi:Nuovo Cimento A,11, 45 (1972).

    Article  ADS  Google Scholar 

  11. G. Parzen:Phys. Rev.,80, 261 (1950).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  12. L. I. Schiff:Phys. Rev.,103, 443 (1956).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  13. L. G. Arnold, B. C. Clark, R. L. Mercier andP. Schwardt:Phys. Rev. C,23, 2949 (1981);B. C. Clark, R. L. Mercier andP. Schwardt:Phys. Rev. Lett. B,122, 211 (1983).

    ADS  Google Scholar 

  14. B. C. Clark, S. Hama, R. L. Mercier, L. Ray andB. D. Serot:Phys. Rev. Lett.,50, 1645 (1983); and references therein.

    ADS  Google Scholar 

  15. A. McNeil, J. R. Shepard andS. J. Wallace:Phys. Rev. Lett.,50, 1439 (1983) and references therein.

    Article  ADS  Google Scholar 

  16. J. R. Shepard, J. A. McNeil andS. J. Wallace:Phys. Rev.,50, 1443 (1983), and references therein.

    ADS  Google Scholar 

  17. A. M. McNeil, D. A. Sparrow andR. D. Amado:Phys. Rev. C,26, 1141 (1982).

    Article  ADS  Google Scholar 

  18. R. D. Amado, J. Pickarewicz, D. A. Sparrow andJ. A. McNeil:Phys. Rev. C,28, 1663 (1983).

    Article  ADS  Google Scholar 

  19. S. J. Wallace, J. L. Friar:Phys. Rev. C,29, 956 (1984).

    Article  ADS  Google Scholar 

  20. M. V. Hynes, A. Picklesimer, P. C. Tandy andR. M. Thaler:Phys. Rev. C,31, 1438 (1985).

    Article  ADS  Google Scholar 

  21. L. S. Celenza, A. Harindranath andC. M. Shakin:Phys. Rev. C,31, 63 (1985).

    Article  ADS  Google Scholar 

  22. L. Ray andG. W. Hoffmann:Phys. Rev. C,31, 538 (1985).

    Article  ADS  Google Scholar 

  23. S. J. Wallace: Invited talk presented atLos Alamos National Laboratory Workshop on Dirac Approaches to Nuclear Physics, Los Alamos, N. M., 31 January–2 February 1985.

  24. J. A. Tjon andS. J. Wallace:Phys. Rev. C,32, 267 (1985) and references therein.

    Article  ADS  Google Scholar 

  25. G. W. Hoffmann, L. Ray, M. L. Barett, R. Fagerson, J. McGill, E. C. Milner, K. K. Seth, D. Barlow, M. Bosko, S. Iverson, M. Kaletka, A. Saha andD. Smith:Phys. Rev. C,47, 1436 (1981).

    ADS  Google Scholar 

  26. M. Thies: S.I.N. preprint 85-10 (1985).

  27. R. P. Feynman:Phys. Rev.,76, 749, 769 (1949).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  28. E. Salpeter andH. A. Bethe:Phys. Rev.,84, 1232 (1951);E. Salpeter:Phys. Rev.,87, 328 (1948);H. A. Bethe andE. E. Salpeter:Quantum Mechanics of One and Two Electron Atoms (Springer-Verlag, Berlin, Göttingen, Heidelberg, 1957), sect.42.

    Article  MathSciNet  ADS  Google Scholar 

  29. N. Nakanishi:Prog. Theor. Phys.,43 (1969);L. S. Celenza, M. K. Liou andC. M. Shakin:Phys. Rev. C,10, 435 (1974);L. J. Nikisch, L. Durand andB. Durand:Phys. Rev. D,30, 660 (1984);B. Silvestre-Brac, A. Bilal, C. Gignoux andP. Schuck:Phys. Rev. D,29, 2275 (1984).

  30. G. C. Wick:Phys. Rev.,96, 1124 (1954).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  31. K. Nishijima:Prog. Theor. Phys.,10, 549 (1953);12, 279 (1954);13, 305 (1955);W. Zimmermann:Nuovo Cimento, Suppl.,11, 73 (1954);J. Taylor:Phys. Rev.,150, 1321 (1966).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  32. J. Fleischer andJ. A. Tjon:Nucl. Phys. B,84, 375 (1975);M. J. Zuilhoff andJ. A. Tjon:Phys. Rev. C,22, 369 (1980);E. E. Van Faasen andJ. A. Tjon:Phys. Rev. C,28, 2354 (1983);30, 285 (1984);33, 2105 (1986); Preprint ORO 5126-311, University of Maryland.

    Article  ADS  Google Scholar 

  33. N. Nimai Singh, Y. K. Mathur andA. N. Mitra:Few-Body Systems,1, 47 (1986).

    Article  ADS  Google Scholar 

  34. M. Gourdin:Nuovo Cimento,7, 338 (1958).

    Article  MATH  Google Scholar 

  35. A. R. Swift andB. W. Lee:Phys. Rev.,131, 1857 (1963).

    Article  MathSciNet  ADS  Google Scholar 

  36. J. J. Kubis:Phys. Rev. D,6, 547 (1972).

    Article  ADS  Google Scholar 

  37. G. Moliere:Z. Naturforsch.,2, 133 (1947).

    ADS  MATH  Google Scholar 

  38. R. J. Glauber: inLectures in Theoretical Physics, Vol.1, edited byW. E. Brittin andL. G. Dunham (New York, N. Y., 1959).

  39. S. J. Wallace:Ann. Phys. (N. Y.),78, 190 (1973).

    Article  ADS  Google Scholar 

  40. H. D. Abarbanel andC. Itzykson:Phys. Rev. Lett,23, 53 (1969).

    Article  ADS  Google Scholar 

  41. M. Levy andJ. Sucher:Phys. Rev.,186, 1656 (1969).

    Article  MathSciNet  ADS  Google Scholar 

  42. S. J. Wallace andJ. A. McNeil:Phys. Rev. D,16, 3565 (1977).

    Article  MathSciNet  ADS  Google Scholar 

  43. M. Fortes andA. D. Jackson:Nucl. Phys. A,175, 449 (1971).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Laboratoire National Saturne, 91191, Gif sur Yvette, France

    A. Tékou

  2. International Centre for Theoretical Physics, Trieste, Italy

    A. Tékou

  3. Laboratoire de Physique Corpusculaire, Atomique et Théorique Faculté des Sciences, Université d'Orléans, 45067, Orléans Cedex, France

    A. Tékou

  4. Institut Universitaire de Technologie de Bourges, 45067, Orléans Cedex, France

    A. Tékou

Authors
  1. A. Tékou
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

To speed up publication, the author of this paper has agreed to not receive the proofs for correction.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tékou, A. Eikonal multiple-scattering model within the framework of Feynman’s positron theory. Nuov Cim A 103, 785–802 (1990). https://doi.org/10.1007/BF02799230

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02799230

PACS 21.60

Search

Navigation