Random Matrix Theory and Analysis of Nucleus-Nucleus Collision at High Energies

TL;DR

This paper introduces a new analysis method based on Random Matrix Theory for detecting systematic errors in high-energy nucleus-nucleus collision experiments, effectively handling background noise and uncertainties.

Contribution

It presents a novel application of Random Matrix Theory to analyze experimental collision data, improving error detection and background suppression.

Findings

Unfolded momentum distributions fit Gaussian orthogonal ensemble models.

The method effectively detects systematic errors in experimental data.

It reduces background interference in measurements.

Abstract

We propose a novel method for analysis of experimental data obtained at relativistic nucleus-nucleus collisions. The method, based on the ideas of Random Matrix Theory, is applied to detect systematic errors that occur at measurements of momentum distributions of emitted particles. The unfolded momentum distribution is well described by the Gaussian orthogonal ensemble of random matrices, when the uncertainty in the momentum distribution is maximal. The method is free from unwanted background contributions.