Pion mean fields and heavy baryons

TL;DR

This paper demonstrates that the masses of the lowest-lying heavy baryons can be accurately modeled using a pion mean-field approach, which treats light quarks as inducing a mean field and the heavy quark as a static source, leading to predictions consistent with experimental data.

Contribution

The paper introduces a pion mean-field model for heavy baryons that yields model-independent relations and accurately predicts baryon masses, including the $ ext{Ω}_b^*$.

Findings

Model accurately describes heavy baryon masses.

Predicted the mass of the $ ext{Ω}_b^*$ baryon.

Derived model-independent relations for heavy baryons.

Abstract

We show that the masses of the lowest-lying heavy baryons can be very well described in a pion mean-field approach. We consider a heavy baryon as a system consisting of the $N_c-1$ light quarks that induce the pion mean field, and a heavy quark as a static color source under the influence of this mean field. In this approach we derive a number of \textit{model-independent} relations and calculate the heavy baryon masses using those of the lowest-lying light baryons as input. The results are in remarkable agreement with the experimental data. In addition, the mass of the $\Omega_b^*$ baryon is predicted.