Three-Nucleon Forces

TL;DR

This paper investigates the significance of genuine three-nucleon forces in nuclear physics calculations, emphasizing their role in accurately describing nuclear systems and distinguishing them from induced forces.

Contribution

It clarifies the distinction between genuine and induced three-nucleon forces and discusses their hierarchical contributions in ab initio nuclear calculations.

Findings

Genuine three-nucleon forces are essential for accurate observables.

Induced forces act as technical intermediaries in calculations.

Three-nucleon forces have small but important effects on certain observables.

Abstract

The role of three-nucleon forces in ab initio calculations of nuclear systems is investigated. The difference between genuine and induced many-nucleon forces is emphasized. Induced forces arise in the process of solving the nuclear many-body problem as technical intermediaries towards calculationally converged results. Genuine forces make up the Hamiltonian; they represent the chosen underlying dynamics. The hierarchy of contributions arising from two-, three- and many-nucleon forces is discussed. Signals for the need of the inclusion of genuine three-nucleon forces are studied in nuclear systems, technically best under control, especially in three-nucleon and four-nucleon systems. Genuine three-nucleon forces are important for details in the decription of some observables. Their contributions to observables are small on the scale set by two-nucleon forces.