# Centrality Dependence of Multiplicity Fluctuations in Ion-Ion Collisions from the Beam Energy Scan at FAIR

## TL;DR

This study investigates multiplicity fluctuations in AuAu collisions at FAIR energies using URQMD simulations, revealing trends consistent with KNO scaling and the Central Limit Theorem, and demonstrating controlled statistical fluctuations.

## Contribution

First detailed analysis of multiplicity fluctuations in ion-ion collisions at FAIR energies using URQMD, confirming KNO scaling and centrality dependence.

## Key findings

- Mean and width of multiplicity distributions increase with energy.
- Multiplicity distributions obey KNO scaling across centralities.
- Statistical fluctuations are well-controlled in 5% centrality bins.

## Abstract

Multiplicity distributions and event-by-event multiplicity fluctuations in AuAu collisions at energies in future heavy-ion experiment at the Facility for Anti-proton and Ion Research (FAIR) are investigated. Events corresponding to FAIR energies are simulated in the frame work of Ultra Relativistic Quantum Molecular Dynamics (URQMD) model. It is observed that the mean and the width of multiplicity distributions monotonically increase with beam energy. The trend of variations of dispersion with mean number of participating nucleons for the centrality-bin width of 5\% are in accord with the Central Limit Theorem. The multiplicity distributions in various centrality bins as well as for full event samples are observed to obey Koba, Nielsen and Olesen (KNO) scaling. The trends of variations of scaled variance with beam energy are also found to support the KNO scaling predictions for larger collision centrality. The findings also reveal that the statistical fluctuations in 5\% centrality-bin width appear to be under control.