Structure of the $\Omega$ baryon and the kaon cloud

TL;DR

This paper studies how the kaon cloud influences the electromagnetic and axial-vector form factors of the $ ext{Ω}^-$ baryon using the chiral quark-soliton model, improving agreement with lattice data.

Contribution

It introduces a self-consistent method to incorporate the kaon tail in the chiral soliton profile, enhancing the accuracy of form factor predictions.

Findings

Kaon cloud improves agreement with lattice data for electromagnetic form factors.

Inclusion of the kaon tail affects the axial-vector form factors.

Results show the importance of the kaon cloud in baryon structure modeling.

Abstract

We investigate the effects of the kaon cloud on the electromagnetic and axial-vector form factors of the $\Omega^-$ baryon within the framework of the chiral quark-soliton model. We first derive the profile function of the chiral soliton in such a way that the kaon Yukawa tail is properly produced self-consistently. Then, we compute the electromagnetic form factors of the $\Omega^-$ baryon. The results for the electromagnetic form factors are compared with the lattice data. We find that the results with the kaon tail employed are in better agreement with the lattice data, compared with those obtained with the pion tail. We also study the axial-vector form factors of the $\Omega^-$ baryon, examining the effects of the kaon cloud.