Holographic information measures for spin-$3/2$ $\Delta$ baryons in AdS/QCD

TL;DR

This paper explores the properties of spin-3/2 Delta baryons using holographic QCD, focusing on configurational information measures and their relation to baryon spectra, including predictions for unobserved resonances.

Contribution

It introduces the use of differential configurational entropy and complexity in holographic QCD to analyze and predict Delta baryon resonances beyond current experimental data.

Findings

Regge-like trajectories relate configurational measures to baryon excitation levels.

The spectrum of heavier Delta baryons is extrapolated and compared with PDG data.

Results highlight the connection between holographic QCD dynamics and baryon spectroscopy.

Abstract

Spin-$3/2$ $\Delta$ baryon resonances are investigated within AdS/QCD, using Rarita-Schwinger fields. The differential configurational entropy (DCE) and differential configurational complexity (DCC) associated with their bulk energy densities are computed. It yields Regge-like trajectories relating configurational information measures to the radial excitation number and the experimental mass spectrum of the $\Delta$ baryons. We then extrapolate the spectrum of heavier $\Delta$ baryon resonances beyond the currently established states in the PDG, also comparing them with states in the PDG that are omitted from the summary table. Our results support a relevant interplay among holographic QCD dynamics, configurational information entropy, and baryon spectroscopy in strongly coupled QCD.