Some Three-body force cancellations in Chiral Lagrangians

TL;DR

This paper demonstrates that certain three-body force cancellations in chiral Lagrangians simplify the analysis of three-body resonances in meson-baryon systems, using a novel derivation based on field re-parametrization.

Contribution

It introduces a simpler method to derive three-body force cancellations in chiral Lagrangians without relying on Faddeev equations.

Findings

Off-shell two-body and three-body force cancellations occur in chiral Lagrangians.

The new derivation simplifies the study of three-body resonances.

Field re-parametrization invariance underpins the cancellation mechanism.

Abstract

The cancellation between off-shell two body forces and three body forces implies a tremendous simplification in the study of three body resonances in two meson-one baryon systems. While this can be done by means of Faddeev equations we provide an alternative and simpler derivation using just the chiral Lagrangian and the field re-parametrization invariance.