Correlating the skewness and kurtosis of baryon number distributions

TL;DR

This paper investigates the relationship between skewness and kurtosis of baryon number distributions using QCD-inspired models, comparing results with RHIC data and discussing improvements for low-energy collisions.

Contribution

It introduces a detailed analysis of baryon distribution moments within effective models and compares them with experimental data, highlighting areas for model refinement at low energies.

Findings

Theoretical results match RHIC data for collision energies ≥ 19.6 GeV.

Discrepancies appear at lower energies due to model limitations.

Proposed methods to improve model accuracy at small collision energies.

Abstract

The skewness and the kurtosis of the baryon number distributions are computed within QCD-improved low energy effective models including quantum thermal and density fluctuations. The results are compared with the Beam Energy Scan experiment at RHIC. The theoretical results agree with the experimental measurements up to errors, for the collision energy $\sqrt{s}\ge 19.6\,\mathrm{GeV}$. For smaller collision energies a discrepancy between theoretical and experimental results develops. This discrepancy partially relates to the lack of precision of the current setup for small collision energies. It is outlined how this deficiency can be overcome.