Spectral-statistics properties of the experimental and theoretical light meson spectra

TL;DR

This paper analyzes the spectral fluctuations of light mesons to understand their chaotic behavior and compares experimental data with theoretical models, revealing discrepancies and insights into underlying interactions.

Contribution

It provides a detailed spectral fluctuation analysis of experimental and theoretical light meson spectra, highlighting differences and similarities in their chaotic properties.

Findings

Experimental meson spectra are close to chaotic systems.

Most theoretical spectra resemble integrable systems.

Lattice QCD calculations differ from experimental spectral properties.

Abstract

We present a robust analysis of the spectral fluctuations exhibited by the light meson spectrum. This analysis provides information about the degree of chaos in light mesons and may be useful to get some insight on the underlying interactions. Our analysis unveils that the statistical properties of the light meson spectrum are close, but not exactly equal, to those of chaotic systems. In addition, we have analyzed several theoretical spectra including the latest lattice QCD calculation. With a single exception, their statistical properties are close to those of a generic integrable system, and thus incompatible with the experimental spectrum.