Configurational entropy and $\rho$ and $\phi$ mesons production in QCD

TL;DR

This paper investigates the production of $ ho$ and $ ho$ mesons in QCD using AdS/QCD and CGC frameworks, analyzing the configurational entropy to understand nuclear matter states and fitting parameters closely to experimental data.

Contribution

It introduces a novel approach combining AdS/QCD, CGC, and configurational entropy to analyze meson production and nuclear matter states.

Findings

Extremal points of configurational entropy reflect meson production characteristics.

Parameters fitted to data match experimental results within 0.1%.

Different quantum states of nuclear matter are suggested by entropy analysis.

Abstract

In the present work the electroproduction for diffractive $\rho$ and $\phi$ mesons by considering AdS/QCD correspondence and Color Glass Condensate (CGC) approximation are studied with respect to the associated dipole cross section, whose parameters are studied and analysed in the framework of the configurational entropy. Our results suggest different quantum states of the nuclear matter, showing that the extremal points of the nuclear configurational entropy is able to reflect a true description of the $\rho$ and $\phi$ mesons production, using current data concerning light quark masses. During the computations parameters, obtained in fitting procedure, coincide to the experimental within 0.1 %.