Decay mechanisms in bound state interaction kernels

TL;DR

This paper discusses developing covariant Bethe-Salpeter equation kernels that explicitly incorporate decay mechanisms, aiming to better understand hadron properties and decay processes, especially in the meson sector.

Contribution

It introduces a novel approach to include explicit decay channels in BSE kernels, advancing the modeling of hadron decay processes.

Findings

Progress in formulating decay-inclusive BSE kernels

Initial exploration in the meson sector with pion degrees of freedom

Framework for studying rho meson decay mechanisms

Abstract

We present progress on the study of decay-channel effects in the properties of hadrons using covariant Bethe-Salpeter equations (BSEs). The main goal will be to develop BSE kernels that contain explicit decay mechanisms. This will be first explored in the meson sector where, for example, a kernel suitable to study the rho meson should contain a virtual $\rho \rightarrow \pi + \pi$ decay mechanism. This will be tackled by including explicit pion degrees of freedom in addition to quarks and gluons.