Deploying heavier $\eta$ meson states: configurational entropy hybridizing AdS/QCD

Abstract

The meson family of $\eta$ pseudoscalars is studied in the context of the AdS/QCD correspondence and the differential configurational entropy (DCE). For it, two forms of configurational-entropic Regge-like trajectories are engendered, relating the $\eta$ mesonic states excitation number to both their experimental mass spectrum in the Particle Data Group (PDG) and the DCE as well. Hence, the mass spectrum of $\eta$ pseudoscalar mesonic states, beyond the already detected states $\eta (550)$, ${\eta }^{\prime }(958)$, $\eta (1295)$, $\eta (1405)$, $\eta (1475)$, $\eta (1760)$, $\eta (2225)$, and $\eta (2320)$, is derived for any excitation number. The three first ulterior members of this family are then analyzed and also compared to existing candidates in PDG.

arXiv comment7 pages, 3 figs, additional results; published version

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