3N Scattering in a Three-Dimensional Operator Formulation

Abstract

A recently developed formulation for a direct treatment of the equations for two- and three-nucleon bound states as set of coupled equations of scalar functions depending only on vector momenta is extended to three-nucleon scattering. Starting from the spin-momentum dependence occurring as scalar products in two- and three-nucleon forces together with other scalar functions, we present the Faddeev multiple scattering series in which order by order the spin-degrees can be treated analytically leading to 3D integrations over scalar functions depending on momentum vectors only. Such formulation is especially important in view of awaiting extension of 3N Faddeev calculations to projectile energies above the pion production threshold and applications of chiral perturbation theory 3N forces, which are to be most efficiently treated directly in such three-dimensional formulation without having to expand these forces into a partial wave basis.

25 pages, 0 figures

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Cited by in corpus (12)

• The Two-Nucleon System in Three Dimensions
• Calculations of three-nucleon reactions with N3LO chiral forces: achievements and challenges
• Spin in relativistic quantum theory
• Solutions of the bound state Faddeev-Yakubovsky equations in three dimensions by using NN and 3N potential models
• A Three-Dimensional Treatment of the Three-Nucleon Bound State
• Different Methods for the Two-Nucleon T-Matrix in the Operator Form
• Calculation of Relativistic Nucleon-Nucleon Potentials in Three-Dimensions
• A three-dimensional momentum-space calculation of three-body bound state in a relativistic Faddeev scheme
• A Spin-Isospin Dependent 3N Scattering Formalism in a 3D Faddeev Scheme
• Relativistic nucleon-nucleon potentials in a spin-dependent three-dimensional approach
• Scattering of a spin-1/2 particle off a spin-0 target in a simple three-dimensional basis
• Comment on "Three-dimensional study of the six-body bound-state for the case of effective three-body configuration model" [Int. J. Mod. Phys. E 25, 9 (2016) 1650072]