Influence of kinematic cuts on the net charge distribution

TL;DR

This study investigates how kinematic cuts and quantum number conservation influence higher moments of net charge distributions in hadronic matter, providing insights relevant to experimental measurements and theoretical models.

Contribution

It introduces a detailed analysis of the effects of kinematic cuts and charge conservation on higher moments within a transport model of hadronic matter.

Findings

Kinematic cuts significantly affect the higher moments of net charge distributions.

Quantum number conservation impacts the skewness and kurtosis in the system.

Resonance decays influence the fluctuations of net charge.

Abstract

The higher moments of the net charge distributions, e.g. the skewness and kurtosis, are studied within an infinite hadronic matter calculation in a transport approach. By dividing the box into several parts, the volume dependence of the fluctuations is investigated. After confirming that the initial distributions follow the expectations from a binomial distribution, the influence of quantum number conservation in this case the net charge in the system on the higher moments is evaluated. For this purpose, the composition of the hadron gas is adjusted and only pions and $\rho$ mesons are simulated to investigate the charge conservation effect. In addition, the effect of imposing kinematic cuts in momentum space is analysed. The role of resonance excitations and decays on the higher moments can also be studied within this model. This work is highly relevant to understand the experimental measurements of higher moments obtained in the RHIC beam energy scan and their comparison to lattice results and other theoretical calculations assuming infinite matter.