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

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.

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

References in corpus (4)

• Momentum-space treatment of Coulomb interaction in three-nucleon reactions with two protons
• Momentum-space description of three-nucleon breakup reactions including the Coulomb interaction
• Proton-proton scattering without Coulomb force renormalization
• A new screening function for Coulomb renormalization

Cited by in corpus (6)

• Signatures of three-nucleon interactions in few-nucleon systems
• Momentum-space calculation of proton-deuteron scattering including Coulomb and irreducible three-nucleon forces
• Application of complex-scaling method for few-body scattering
• Solutions of the bound state Faddeev-Yakubovsky equations in three dimensions by using NN and 3N potential models
• The nn quasi-free nd breakup cross section: discrepancies to theory and implications on the 1S0 nn force
• Momentum-space 3N Faddeev calculations of hadronic and electromagnetic reactions with proton-proton Coulomb and three-nucleon forces included