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

TL;DR

This paper advances a three-dimensional formalism for solving the three-nucleon bound state problem, simplifying the Faddeev equations into scalar functions of three variables, and presents initial numerical results using chiral NNLO nuclear forces.

Contribution

It introduces a novel three-dimensional operator formalism for the Faddeev equations and provides the first numerical solutions with chiral NNLO nuclear forces.

Findings

Successful formulation of the three-dimensional Faddeev equations.

First numerical results for chiral NNLO nuclear forces.

Simplification of the three-nucleon bound state problem.

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.