Abstract
Bottomonium and charmonium, representing quarkonia states, are scrutinized under the point of view of the information theory, in the AdS/QCD holographic setup. A logarithmic measure of information, comprised by the configurational entropy, is here employed to quantitatively study quarkonia radially excited S-wave states. The configurational entropy provides data regarding the relative dominance and the abundance of the bottomonium and charmonium states, whose underlying information is more compressed, in the Shannon's theory meaning. The derived configurational entropy, therefore, identifies the lower phenomenological prevalence of higher S-wave resonances and higher masses quarkonia in Nature.
Highlights
The configurational (CE) entropy is a paradigm, contemporarily proposed on the beginning of this decade [1, 2], that considers foreseeable aspects of information into general systems
We show on tables I and II the masses of the states of charmonium and bottomonium, respectively, obtained from the roots of the algebraic equation
I and II, recent studies indicate that the configurational entropy (CE) provides information about either the relative stability or dominance, among different states of a physical system
Summary
The configurational (CE) entropy is a paradigm, contemporarily proposed on the beginning of this decade [1, 2], that considers foreseeable aspects of information into general systems. [22,23,24], that consists in placing a hard cut-off in anti-de Sitter (AdS) space Another AdS/QCD model is the soft wall one, that has the property that the square of the mass linearly grows with the radial excitation number [25]. [28] leads to decay constants that decrease with the radial excitation number of the meson states Such a behavior is experimentally observed and was not reproduced by the standard previous AdS/QCD models. III is devoted to review the AdS/QCD holographic model for heavy vector mesons, relating the decay constants to the two-point correlation function.
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