Proton-proton scattering without Coulomb force renormalization

TL;DR

This paper shows that proton-proton scattering observables can be accurately computed using a screened Coulomb potential without renormalization, simplifying calculations in nuclear physics.

Contribution

It introduces a method to determine pp scattering observables directly with screened Coulomb forces and investigates the properties of the Coulomb t-matrix solutions for large screening radii.

Findings

Successful numerical determination of pp scattering observables without renormalization.

Confirmation of analytical properties of Coulomb t-matrices for large screening radii.

Foundation for a new approach to include Coulomb interactions in three-nucleon calculations.

Abstract

We demonstrate numerically that proton-proton (pp) scattering observables can be determined directly by standard short range methods using a screened pp Coulomb force without renormalization. In examples the appropriate screening radii are given. We also numerically investigate solutions of the 3-dimensional Lippmann-Schwinger (LS) equation for a screened Coulomb potential alone in the limit of large screening radii and confirm analytically predicted properties for off-shell, half-shell and on-shell Coulomb t-matrices. These 3-dimensional solutions will form a basis for a novel approach to include the pp Coulomb interaction into the 3N Faddeev framework.