Hadronic decays of mesons and baryons in the Dyson-Schwinger approach

TL;DR

This paper employs Dyson-Schwinger equations to analyze hadronic decays of mesons and baryons, providing a covariant framework that aligns well with lattice QCD and experimental data, including novel elta N  transitions.

Contribution

It introduces a consistent Dyson-Schwinger approach to compute hadronic decay processes, including for the first time the elta N  transition, across a range of quark masses.

Findings

Strong couplings match lattice QCD and experimental data.

First covariant calculation of elta N  transition.

Decay diagrams are consistently calculated within the rainbow-ladder truncation.

Abstract

We study hadronic decays of mesons and baryons in the context of the Dyson-Schwinger equations of QCD. Starting from a well-established effective interaction in rainbow-ladder truncation, we consistently calculate all ingredients of the appropriate decay diagrams. The resulting strong couplings are presented as functions of the quark mass from the chiral limit up to the respective decay thresholds. In particular, we investigate the \rho \pi \pi and for the first time the \Delta N \pi transitions. Both meson and baryon results compare well to available lattice QCD results as well as experimental data and present the first step towards a comprehensive covariant study of hadron resonances in the Dyson-Schwinger approach.