The Delta-Statistics of Uncoventional Quarkonium-like Resonances

TL;DR

This paper investigates the spectral properties of unconventional charmonium-like resonances, finding they align more with random matrix theory predictions than with standard charmonia, suggesting different underlying dynamics.

Contribution

It introduces a novel analysis of level spacing distributions for charmonium-like states using spectral rigidity, highlighting their compatibility with Gaussian Orthogonal Ensemble statistics.

Findings

Unconventional states match Gaussian Orthogonal Ensemble distributions.

Standard charmonia are more Poisson-like in their level spacing.

Spectral rigidity analysis reveals fundamental differences between the two groups.

Abstract

In this note we address the problem of unconventional charmonium-like states from the standpoint of level spacing theory. The level distribution of the newly discovered vector resonances is compared to that of standard charmonia analyzing their spectral rigidities. It is found that the unconventional charmonium-like states are significantly more compatible with the hypothesis of being levels from a Gaussian Orthogonal Ensamble of Random Matrices than the standard ones, which in turn seem more likely to be Poisson distributed. We discuss the consequences of this result and draw some hints for future investigations.