https://doi.org/10.1140/epja/i2009-10843-1
Regular Article - Theoretical Physics
A novel treatment of the proton-proton Coulomb force in proton-deuteron Faddeev calculations: Elastic scattering
1
M. Smoluchowski Institute of Physics, Jagiellonian University, PL-30059, Kraków, Poland
2
Institut für theoretische Physik II, Ruhr-Universität Bochum, D-44780, Bochum, Germany
* e-mail: witala@if.uj.edu.pl
Received:
10
June
2009
Accepted:
26
June
2009
Published online:
26
July
2009
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.
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 –
© SIF, Springer-Verlag Berlin Heidelberg, 2009
