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The European Physical Journal A

, Volume 41, Issue 3, pp 385–392 | Cite as

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

  • H. WitałaEmail author
  • R. Skibiński
  • J. Golak
  • W. Glöckle
Regular Article - Theoretical Physics

Abstract

We extend our approach to incorporate the proton-proton (ppCoulomb force into the three-nucleon (3NFaddeev calculations from elastic proton-deuteron (pdscattering to the breakup process. 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 that the proton-deuteron (pdbreakup observables can be determined from the resulting on-shell 3N amplitudes increasing the screening radius. However, contrary to the pd elastic scattering, the screening limit exists only after renormalisation of the pp t -matrices.

PACS

21.45.-v Few-body systems 21.45.Bc Two-nucleon system 25.10.+s Nuclear reactions involving few-nucleon systems 25.40.Cm Elastic proton scattering 

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References

  1. 1.
    E.O. Alt, W. Sandhas, H. Ziegelmann, Phys. Rev. C 17, 1981 (1978).Google Scholar
  2. 2.
    E.O. Alt, W. Sandhas, in Coulomb Interactions in Nuclear and Atomic Few-Body Collisions, edited by F.S. Levin, D. Micha (Plenum Press, New York, 1996) p. 1.Google Scholar
  3. 3.
    E.O. Alt, M. Rauh, Phys. Rev. C 49, R2285 (1994).Google Scholar
  4. 4.
    E.O. Alt, A.M. Mukhamedzhanov, M.M. Nishonov, A.I. Sattarov, Phys. Rev. C 65, 064613 (2002).Google Scholar
  5. 5.
    A. Kievsky, M. Viviani, S. Rosati, Phys. Rev. C 52, R15 (1995).Google Scholar
  6. 6.
    A. Deltuva, A.C. Fonseca, P.U. Sauer, Phys. Rev. C 72, 054004 (2005).Google Scholar
  7. 7.
    A. Deltuva, A.C. Fonseca, P.U. Sauer, Phys. Rev. C 71, 054005 (2005).Google Scholar
  8. 8.
    H. Witała, R. Skibiński, J. Golak, W. Glöckle, A novel treatment of the proton-proton Coulomb force in proton-deuteron Faddeev calculations: Elastic scattering, this issue (nucl-th 0903.1522v2).Google Scholar
  9. 9.
    W. Glöckle, H. Witała, D. Hüber, H. Kamada, J. Golak, Phys. Rep. 274, 107 (1996).Google Scholar
  10. 10.
    H. Witała, W. Glöckle, H. Kamada, Phys. Rev. C 43, 1619 (1991).Google Scholar
  11. 11.
    W. Glöckle, The Quantum Mechanical Few-Body Problem (Springer Verlag, 1983).Google Scholar
  12. 12.
    W.F. Ford, Phys. Rev. 133, B1616 (1964).Google Scholar
  13. 13.
    W.F. Ford, J. Math. Phys. 7, 626 (1966).Google Scholar
  14. 14.
    M. Yamaguchi, H. Kamada, Y. Koike, Prog. Theor. Phys. 114, 1323 (2005).Google Scholar
  15. 15.
    J.R. Taylor, Nuovo Cimento B 23, 313 (1974).Google Scholar
  16. 16.
    M.D. Semon, J.R. Taylor, Nuovo Cimento A 26, 48 (1975).Google Scholar
  17. 17.
    R. Skibiński, J. Golak, H. Witała, W. Glöckle, Eur. Phys. J. A 40, 215 (2009).Google Scholar
  18. 18.
    L.P. Kok, H. van Haeringen, Phys. Rev. Lett. 46, 1257 (1981).Google Scholar
  19. 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).Google Scholar
  20. 20.
    L.P. Kok, H. van Haeringen, Phys. Rev. C 21, 512 (1980).Google Scholar
  21. 21.
    R. Machleidt, F. Sammarruca, Y. Song, Phys. Rev. C 53, R1483 (1996).Google Scholar
  22. 22.
    G. Rauprich, Nucl. Phys. A 535, 313 (1991).Google Scholar
  23. 23.
    H.R. Setze, Phys. Rev. C 71, 034006 (2005).Google Scholar

Copyright information

© SIF, Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • H. Witała
    • 1
    Email author
  • R. Skibiński
    • 1
  • J. Golak
    • 1
  • W. Glöckle
    • 2
  1. 1.M. Smoluchowski Institute of PhysicsJagiellonian UniversityKrakówPoland
  2. 2.Institut für theoretische Physik IIRuhr-Universität BochumBochumGermany

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