A Three-Dimensional Treatment of the Three-Nucleon Bound State

Abstract

Recently a formalism for a direct treatment of the Faddeev equation for the three-nucleon bound state in three dimensions has been proposed. It relies on an operator representation of the Faddeev component in the momentum space and leads to a finite set of coupled equations for scalar functions which depend only on three variables. In this paper we provide further elements of this formalism and show the first numerical results for chiral NNLO nuclear forces.

25 pages, 7 figures (34 eps files)

References in corpus (4)

• Subleading contributions to the chiral three-nucleon force I: long-range terms
• Three-Nucleon Bound State in a Spin-Isospin Dependent Three Dimensional Approach
• Triton photodisintegration in three-dimensional approach
• A New Expression for 3N Bound State Faddeev Equation in a 3D Approach

Cited by in corpus (7)

• Calculations of three-nucleon reactions with N3LO chiral forces: achievements and challenges
• Different Methods for the Two-Nucleon T-Matrix in the Operator Form
• A three-dimensional momentum-space calculation of three-body bound state in a relativistic Faddeev scheme
• Relativistic nucleon-nucleon potentials in a spin-dependent three-dimensional approach
• Relativistic Faddeev 3D Equations for Three-Body Bound States Without Two-Body $t-$Matrices
• 3H and 3He calculations without angular momentum decomposition
• Numerical study of the two-boson bound-state problem with and without partial-wave decomposition