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

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.

arXiv comment20 pages, 3 eps figures

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Cited by in corpus (9)

• Signatures of three-nucleon interactions in few-nucleon systems
• Calculations of three-nucleon reactions with N3LO chiral forces: achievements and challenges
• 3N Scattering in a Three-Dimensional Operator Formulation
• A New Approach to the 3D Faddeev Equation for Three-Body Scattering
• Deuteron-alpha scattering: separable vs nonseparable Faddeev approach
• The n-n-alpha System in a Continuum Faddeev Formulation
• Faddeev approach to the reaction $K^{-}d\to \pi \Sigma n$ at $p_K=1$ GeV/c
• The six-nucleon Yakubovsky equations for 6He
• Solution of Faddeev integral equations in configuration space using the hyperspherical harmonics expansion method