Skip to main content
Log in

A novel treatment of the proton-proton Coulomb force in proton-deuteron Faddeev calculations: Elastic scattering

  • Regular Article - Theoretical Physics
  • Published:
The European Physical Journal A Aims and scope Submit manuscript

Abstract

We propose a novel approach to incorporate the proton-proton (pp) Coulomb force into the three-nucleon (3N) Faddeev calculations. The main new ingredient is a 3-dimensional screened pp Coulomb t -matrix obtained by a numerical solution of the 3-dimensional Lippmann-Schwinger (LS) equation. We demonstrate numerically and provide analytical insight that the elastic proton-deuteron (pd ) observables can be determined directly from the resulting on-shell 3N amplitude increasing the screening radius. The screening limit exists without the need of renormalisation not only for observables but for the elastic pd amplitude itself.

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

Access this article

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. E.O. Alt, W. Sandhas, H. Ziegelmann, Phys. Rev. C 17, 1981 (1978).

  2. E.O. Alt, W. Sandhas, in Coulomb Interactions in Nuclear and Atomic Few-Body Collisions, edited by F.S. Levin, D. Micha (Plenum, New York, 1996) p. 1.

  3. E.O. Alt, M. Rauh, Phys. Rev. C 49, R2285 (1994).

  4. E.O. Alt, A.M. Mukhamedzhanov, M.M. Nishonov, A.I. Sattarov, Phys. Rev. C 65, 064613 (2002).

    Google Scholar 

  5. W. Glöckle, H. Witała, D. Hüber, H. Kamada, J. Golak, Phys. Rep. 274, 107 (1996).

    Google Scholar 

  6. E. Epelbaum, Prog. Part. Nucl. Phys. 57, 654 (2006) and references therein.

  7. A. Kievsky, M. Viviani, S. Rosati, Phys. Rev. C 52, R15 (1995).

  8. A. Deltuva, A.C. Fonseca, P.U. Sauer, Phys. Rev. C 72, 054004 (2005).

    Google Scholar 

  9. A. Deltuva, A.C. Fonseca, P.U. Sauer, Phys. Rev. C 71, 054005 (2005).

    Google Scholar 

  10. E. Stephan, Phys. Rev. C 76, 057001 (2007).

    Google Scholar 

  11. G. Rauprich, Nucl. Phys. A 535, 313 (1991).

    Google Scholar 

  12. R. Großmann, Nucl. Phys. A 603, 161 (1996).

    Google Scholar 

  13. H. Patberg, Phys. Rev. C 53, 1497 (1996).

    Google Scholar 

  14. M. Allet, Few-Body Syst. C 20, 27 (1996).

  15. J. Zejma, Phys. Rev. C 55, 42 (1997).

    Google Scholar 

  16. R. Skibiński, J. Golak, H. Witała, W.Glöckle, Eur. Phys. J. A 40, 215 (2009).

  17. H. Witała, W. Glöckle, H. Kamada, Phys. Rev. C 43, 1619 (1991).

    Google Scholar 

  18. W. Glöckle, The Quantum Mechanical Few-Body Problem (Springer Verlag, 1983).

  19. J.C.Y. Chen, A.C. Chen, in Advances of Atomic and Molecular Physics, edited by D.R. Bates, J. Estermann, Vol. 8 (Academic Press, New York, 1972).

  20. R. Machleidt, F. Sammarruca, Y. Song, Phys. Rev. C 53, R1483 (1996).

  21. W. Grüebler, Nucl. Phys. A 398, 445 (1983).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to H. Witała.

Additional information

G. Orlandini

Rights and permissions

Reprints and permissions

About this article

Cite this article

Witała, H., Skibiński, R., Golak, J. et al. A novel treatment of the proton-proton Coulomb force in proton-deuteron Faddeev calculations: Elastic scattering. Eur. Phys. J. A 41, 369–384 (2009). https://doi.org/10.1140/epja/i2009-10843-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epja/i2009-10843-1

PACS

Navigation