Delta and Omega electromagnetic form factors in a three-body covariant Bethe-Salpeter approach

TL;DR

This paper calculates the electromagnetic form factors of Delta and Omega baryons using a covariant three-body approach, revealing their shape characteristics and highlighting the importance of pion-cloud effects at low momentum transfer.

Contribution

It introduces a covariant three-body Bethe-Salpeter framework with two gluon dressing models to compute baryon form factors, emphasizing shape predictions and pion-cloud corrections.

Findings

Oblate electric charge distribution predicted

Prolate magnetic dipole distribution predicted

Pion-cloud effects are significant at low momentum transfer

Abstract

The electromagnetic form factors of the Delta and Omega baryons are calculated in the framework of Poincare-covariant bound-state equations. The quark-quark interaction is truncated to a single dressed-gluon exchange where for the dressings we use two different models and compare the results. The calculation predicts an oblate shape for the electric charge distribution and a prolate shape for the magnetic dipole distribution. We also identify the necessity of including pion-cloud corrections at low photon-momentum transfer.