Treatment of the proton-proton Coulomb force in proton-deuteron breakup Faddeev calculations

TL;DR

This paper develops a method to include the proton-proton Coulomb force in three-nucleon Faddeev calculations for proton-deuteron breakup, using a 3D screened Coulomb t-matrix and renormalization techniques.

Contribution

It introduces a 3D screened Coulomb t-matrix solution and demonstrates its application to proton-deuteron breakup observables with proper renormalization.

Findings

Breakup observables can be derived from on-shell 3N amplitudes with increased screening radius.

The screening limit requires renormalization of the pp t-matrices.

The method extends previous elastic scattering calculations to breakup processes.

Abstract

We extend our approach to incorporate the proton-proton (pp) Coulomb force into the three-nucleon (3N) Faddeev calculations from elastic proton-deuteron (pd) scattering 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 equation. We demonstrate numerically that the proton-deuteron breakup 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.