A new form of three-body Faddeev equations in the continuum

TL;DR

This paper introduces a simplified method for solving three-nucleon Faddeev equations in the continuum, avoiding complex singularities and making the process comparable to two-body equations, with validated results in nucleon-deuteron scattering.

Contribution

A novel approach to solve three-nucleon Faddeev equations that simplifies the treatment of singularities, aligning it with the two-body Lippmann-Schwinger equation.

Findings

Good agreement with traditional methods in scattering calculations

Simplifies the computational complexity of three-body problems

Potential for broader application in nuclear physics

Abstract

We propose a novel approach to solve the three-nucleon (3N) Faddeev equation which avoids the complicated singularity pattern going with the moving logarithmic singularities of the standard approach. In this new approach the treatment of the 3N Faddeev equation becomes essentially as simple as the treatment of the two-body Lippmann-Schwinger equation. Very good agreement of the new and old approaches in the application to nucleon-deuteron elastic scattering and the breakup reaction is found.