Il Nuovo Cimento A (1965-1970)

, Volume 76, Issue 2, pp 468–477 | Cite as

Remarks on Coulomb effects in multiple-scattering theories

  • F. Cannata
  • J. P. Dedonder
Article
First Online:
Received:

Summary

We investigate the problem of introducing the Coulomb potential in Watson’s multiple-scattering expansion: in particular we formally analyse the implications for the optical potential and discuss various approximations necessary in order to make practical calculations.

PACS. 21.10.

General and average properties of nuclei properties of nuclear energy levels 

PACS. 24.10.

Nuclear reaction and scattering models and methods 

Замечания о кулоновских эффектах в теориях многократного рассеяния

Резюме

Мы исследуем проблему введения кулоновского потенциала в разложение Ватсона для многократного рассеяния: в частности мы анализируем применение оптического потенциала и обсуждаем различные приближения, используемые при проведении практических вычислений.

Riassunto

Si studia il problema dell’introduzione del potenziale coulombiano nello sviluppo di diffusione multipla di Watson: in particolare si formalizzano le implicazioni per il potenziale ottico e si discutono varie approssimazioni necessarie per fare delle valutazioni numeriche.

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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. (1).
    See,e.g.,G. Cattapan,G. Pisent andV. Vanzani:Lett. Nuovo Cimento,11, 650 (1974);Gy. Bencze andH. Zankel:Phys. Lett. B,82, 316 (1979).CrossRefGoogle Scholar
  2. (2).
    G. Bonsignori, F. Cannata, G. Fratamico andM. Savoia:Nuovo Cimento A,54, 165 (1979).CrossRefADSGoogle Scholar
  3. (3).
    L. Ray, G. W. Hoffmann andR. M. Thaler:Phys. Rev. C,22, 1454 (1980).CrossRefADSGoogle Scholar
  4. (4).
    T. T. S. Kuo, F. Osterfeld andS. Y. Lee:Phys. Rev. Lett.,45, 786 (1980).CrossRefADSGoogle Scholar
  5. (5).
    S. Y. Lee, F. Osterfeld, K. Tam andT. T. S. Kuo:Phys. Rev. C,24, 329 (1981).CrossRefADSGoogle Scholar
  6. (6).
    B. Buck andR. Lipperheide:Nucl. Phys. A,368, 141 (1981).CrossRefADSGoogle Scholar
  7. (7).
    J. T. Londergan andG. A. Miller:Phys. Rev. C,25, 46 (1982).CrossRefADSGoogle Scholar
  8. (8).
    Gy. Bencze andC. Chandler:Phys. Lett. B,112, 295 (1982).MathSciNetCrossRefADSGoogle Scholar
  9. (9).
    F. G. Perey andB. Buck:Nucl. Phys.,32, 353 (1962);F. G. Perey:Proceedings of the Conference on Direct Interactions and Nuclear Reaction Mechanisms, edited byE. Clementel andC. Villi (New York, N. Y., 1963), p. 125.CrossRefMATHGoogle Scholar
  10. (10).
    A. M. Lane:Rev. Mod. Phys.,29, 191 (1957).MathSciNetCrossRefADSGoogle Scholar
  11. (11).
    F. G. Perey:Phys. Rev.,131, 745 (1963).CrossRefADSGoogle Scholar
  12. (12).
    C. B. Dover andN. Van Giai:Nucl. Phys. A,190, 373 (1972).CrossRefADSGoogle Scholar
  13. (13).
    F. Cannata:Interaction Studies in Nuclei, edited byH. Jochim andB. Ziegler (Amsterdam, 1975), p. 72.Google Scholar
  14. (14).
    V. Fock:Z. Phys.,89, 744 (1934).CrossRefADSGoogle Scholar
  15. (15).
    J. S. Levinger, N. Austern andP. Morrison:Nucl. Phys.,3, 456 (1957).CrossRefMATHGoogle Scholar
  16. (16).
    A. Bohr andB. R. Mottelson:Nuclear Structure, Vol. I (New York, N. Y., 1969), p. 198 and 394.Google Scholar
  17. (17).
    Y. Koike:Nucl. Phys. A,301, 411 (1978).CrossRefADSGoogle Scholar
  18. (18).
    C. Werntz andF. Cannata:Phys. Rev. C,24, 349 (1981).CrossRefADSGoogle Scholar
  19. (19).
    T. Rausch, H. Zell, D. Wallenwein andW. Von Witsch:Nucl. Phys. A,222, 429 (1974).CrossRefADSGoogle Scholar
  20. (20).
    M. Bruno, F. Cannata, M. D’Agostino, M. Lombardi, G. Vannini andY. Koike:Lett. Nuovo Cimento,29, 385 (1980).CrossRefGoogle Scholar
  21. (21).
    J. Rapaport:Phys. Lett. B,70, 141 (1977);J. Rapaport, V. Kulkarni andR. W. Finlay:Nucl. Phys. A,330, 15 (1979).CrossRefADSGoogle Scholar
  22. (22).
    G. Fäldt andH. Pilkuhn:Phys. Lett. B,46, 337 (1973).CrossRefADSGoogle Scholar
  23. (23).
    J. Hüfner:Nucl. Phys. B,58, 55 (1973).CrossRefADSGoogle Scholar
  24. (24).
    J. F. Germond andC. Wilkin:Phys. Lett. B,68, 229 (1977).CrossRefADSGoogle Scholar
  25. (25).
    J. P. Dedonder, J. P. Maillet, C. Schmit:Ann. Phys. (N. Y.),127, 1 (1980).CrossRefADSGoogle Scholar
  26. (26).
    Y. Alexander, A. Gal, V. B. Mandelzweig andE. Friedman:Nucl. Phys. A,356, 307 (1981).CrossRefADSGoogle Scholar
  27. (27).
    T. E. O. Ericson andL. Tauscher:Phys. Lett. B,112, 425 (1982).CrossRefADSGoogle Scholar
  28. (28).
    A. Messiah:Quantum Mechanics (Amsterdam, 1965).Google Scholar
  29. (29).
    T. E. O. Ericson andJ. Hüfner:Nucl. Phys. B,47, 205 (1972).CrossRefADSGoogle Scholar
  30. (30).
    J. F. Dubach, E. J. Moniz andG. D. Nixon:Phys. Rev. C,21, 729 (1979).Google Scholar
  31. (31).
    M. D. Cooper, R. H. Jeppesen andM. B. Johnson:Phys. Rev. C,20, 696 (1979);M. D. Cooper, M. B. Johnson andG. West:Nucl. Phys. A,292, 350 (1977);M. D. Cooper andM. B. Johnson:Nucl. Phys. A,260, 352 (1976).CrossRefADSGoogle Scholar
  32. (32).
    K. M. Watson:Rev. Mod. Phys.,30, 565 (1958).CrossRefADSGoogle Scholar
  33. (33).
    F. Cannata, J. P. Dedonder andF. Lenz:Ann. Phys. (N. Y.),143, 84 (1982).CrossRefADSGoogle Scholar
  34. (34).
    F. Lenz:Ann. Phys. (N. Y.),95, 348 (1975).CrossRefADSGoogle Scholar
  35. (35).
    R. Amado, F. Lenz andK. Yazaki:Phys. Rev. C,18, 918 (1978).CrossRefADSGoogle Scholar
  36. (36).
    M. H. Hull jr. andG. Breit: inHandbuch der Physik, edited byS. Flügge (Berlin, 1959), band XL I/1.Google Scholar

Copyright information

© Società Italiana di Fisica 1983

Authors and Affiliations

  • F. Cannata
    • 1
    • 2
    • 3
  • J. P. Dedonder
    • 4
    • 5
  1. 1.Istituto di Fisica dell’UniversitàBolognaItalia
  2. 2.Istituto Nazionale di Fisica NucleareSezione di BolognaBolognaItalia
  3. 3.Division de Physique ThéoriqueIPNOrsay CedexFrance
  4. 4.Division Physique ThéoriqueIPNOrsay CedexFrance
  5. 5.LPNUniversité Paris 7ParisFrance

Personalised recommendations