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

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.