A holographic bottom-up approach to $\Sigma$ baryons

TL;DR

This paper models neutral Sigma baryons using two bottom-up holographic approaches, achieving accurate descriptions with less than 10% RMS error and analyzing their stability through configurational entropy.

Contribution

It introduces two novel holographic models for Sigma baryons incorporating non-linear Regge trajectories, enhancing understanding of their structure and stability.

Findings

Both models describe Sigma baryons with RMS error <10%.

Configurational entropy analysis provides insights into hadronic stability.

Models account for strange quark effects in baryon structure.

Abstract

In this work, we discuss the description of neutral $\Sigma$ baryons with $I(J^P)=1(1/2^+)$ and $I(J^P)=1(3/2^+)$ using two bottom-up approaches: the deformed background and the static dilaton. In both models, we consider a non-linear Regge trajectory extension motivated by the \emph{strange} nature that $\Sigma$ baryons have. We found that both models describe these systems with an RMS error smaller than 10 $\%$. We also perform a configurational entropy calculation in both models to discuss hadronic stability.