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

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.

23 pages, 5 figures

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