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.
Similar content being viewed by others
References
E.O. Alt, W. Sandhas, H. Ziegelmann, Phys. Rev. C 17, 1981 (1978).
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.
E.O. Alt, M. Rauh, Phys. Rev. C 49, R2285 (1994).
E.O. Alt, A.M. Mukhamedzhanov, M.M. Nishonov, A.I. Sattarov, Phys. Rev. C 65, 064613 (2002).
A. Kievsky, M. Viviani, S. Rosati, Phys. Rev. C 52, R15 (1995).
A. Deltuva, A.C. Fonseca, P.U. Sauer, Phys. Rev. C 72, 054004 (2005).
A. Deltuva, A.C. Fonseca, P.U. Sauer, Phys. Rev. C 71, 054005 (2005).
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).
W. Glöckle, H. Witała, D. Hüber, H. Kamada, J. Golak, Phys. Rep. 274, 107 (1996).
H. Witała, W. Glöckle, H. Kamada, Phys. Rev. C 43, 1619 (1991).
W. Glöckle, The Quantum Mechanical Few-Body Problem (Springer Verlag, 1983).
W.F. Ford, Phys. Rev. 133, B1616 (1964).
W.F. Ford, J. Math. Phys. 7, 626 (1966).
M. Yamaguchi, H. Kamada, Y. Koike, Prog. Theor. Phys. 114, 1323 (2005).
J.R. Taylor, Nuovo Cimento B 23, 313 (1974).
M.D. Semon, J.R. Taylor, Nuovo Cimento A 26, 48 (1975).
R. Skibiński, J. Golak, H. Witała, W. Glöckle, Eur. Phys. J. A 40, 215 (2009).
L.P. Kok, H. van Haeringen, Phys. Rev. Lett. 46, 1257 (1981).
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).
L.P. Kok, H. van Haeringen, Phys. Rev. C 21, 512 (1980).
R. Machleidt, F. Sammarruca, Y. Song, Phys. Rev. C 53, R1483 (1996).
G. Rauprich, Nucl. Phys. A 535, 313 (1991).
H.R. Setze, Phys. Rev. C 71, 034006 (2005).
Author information
Authors and Affiliations
Corresponding author
Additional information
G. Orlandini
Rights 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: Breakup. Eur. Phys. J. A 41, 385–392 (2009). https://doi.org/10.1140/epja/i2009-10842-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epja/i2009-10842-2