Leading three-baryon forces from SU(3) chiral effective field theory

TL;DR

This paper derives leading three-baryon forces using SU(3) chiral effective field theory, providing explicit expressions and relations for different strangeness sectors, including the well-known three-nucleon forces.

Contribution

It introduces a systematic derivation of three-baryon forces within SU(3) chiral EFT, including explicit potentials and SU(3) relations for strangeness sectors.

Findings

Recovered known three-nucleon forces in S=0 sector

Derived explicit lambda-nucleon-nucleon potential

Provided SU(3) relations for strangeness sectors

Abstract

Leading three-baryon forces are derived within SU(3) chiral effective field theory. Three classes of irreducible diagrams contribute: three-baryon contact terms, one-meson exchange and two-meson exchange diagrams. We provide the minimal non-relativistic terms of the chiral Lagrangian, that contribute to these diagrams. SU(3) relations are given for the strangeness S=0 and -1 sectors. In the strangeness-zero sector we recover the well-known three-nucleon forces from chiral effective field theory. Explicit expressions for the lambda-nucleon-nucleon chiral potential in isospin space are presented.