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

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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33 pages, 4 eps figures. New figure with a description in the Section V and minor text changes have been added. The physical c

Scientific paper

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.

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