Statistical analysis of initial state and final state response in heavy-ion collisions

TL;DR

This paper introduces a decomposition method for initial density profiles in heavy-ion collisions, analyzing how fluctuations influence final-state observables through simulations with KoMPoST and MUSIC.

Contribution

It presents a new basis for decomposing initial states, enabling detailed analysis of fluctuations and their effects on collision outcomes.

Findings

Quantifies event-by-event fluctuations in initial states.

Analyzes the impact of fluctuations on final observables.

Provides a framework for comparing Glauber and Saturation models.

Abstract

We develop a general decomposition of an ensemble of initial density profiles in terms of an average state and a basis of modes that represent the event-by-event fluctuations of the initial state. The basis is determined such that the probability distributions of the amplitudes of different modes are uncorrelated. Based on this decomposition, we quantify the different types and probabilities of event-by-event fluctuations in Glauber and Saturation models and investigate how the various modes affect different characteristics of the initial state. We perform simulations of the dynamical evolution with KoMPoST and MUSIC to investigate the impact of the modes on final-state observables and their correlations.