Abstract

Families of $J^P=1/2+$ nucleons (N(939), N(1440), N(1710), N(1880), N(2100), N(2300)) and $J^P=3/2-$ nucleons (N(1520), N(1700), N(1875) and N(2120)) are scrutinized from the point of view of the configurational entropy (CE). The mass spectra of higher $J^P$ resonances in each one of these families are then obtained when configurational-entropic Regge trajectories, that relate the CE of nucleon families to both their $J^P$ spin and also to their experimental mass spectra, are interpolated. The mass spectra of the next generation of nucleon resonances are then compared to already established baryonic states in PDG. Besides the zero temperature case, the finite temperature analysis is also implemented.

Highlights

  • The configurational entropy (CE) represents a measure of spatial correlations, in the very same sense of the pioneering Shannon’s information entropy

  • The fundamental interpretation of the CE consists of the limit to a lossless compression rate of information that is inherent to any physical system

  • Besides the quadratic dilaton field φðzÞ 1⁄4 k2z2 usually employed in the anti–de Sitter (AdS)-quantum chromodynamics (QCD) soft wall model, a thermal prefactor, e−λTðzÞ, is introduced, where λT

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Summary

INTRODUCTION

The configurational entropy (CE) represents a measure of spatial correlations, in the very same sense of the pioneering Shannon’s information entropy. This paper is organized as follows: Sec. II briefly introduces the soft wall AdS/QCD model, presenting the nucleon resonances and the obtention of their mass spectra. [47,48] to describe fermions, both at zero and finite temperature, in the AdS/QCD soft wall model. Besides the quadratic dilaton field φðzÞ 1⁄4 k2z2 usually employed in the AdS-QCD soft wall model, a thermal prefactor, e−λTðzÞ, is introduced, where λT ðzÞ α. The experimental data from [11] are presented in the third column and the soft wall result (20) in the fourth column of Table I This makes possible to illustrate the mass spectra (20).

CONFIGURATIONAL ENTROPY AND SHANNON INFORMATION ENTROPY
Finite temperature case
Findings
CONCLUDING REMARKS
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