The Shape of the Correlation Function

TL;DR

This paper investigates the non-Gaussian shape of the correlation function in ultrarelativistic nuclear collisions, emphasizing how various physical effects influence its form, especially through Lévystable distribution parametrizations.

Contribution

It assesses the impact of non-critical effects on the Lévystable parametrization of the correlation function shape in nuclear collisions.

Findings

Lévy index can significantly deviate from 2 due to multiple effects

Non-spherical shapes and resonance decays influence correlation shape

Event fluctuations affect the Lévystable distribution parameters

Abstract

The correlation function measured in ultrarelativistic nuclear collisions is non-Gaussian. By making use of models we discuss and assess how much various effects can influence its shape. In particular, we focus on the parametrisations expressed with the help of L\'evy-stable distributions. We show that the L\'evy index may deviate substantially from 2 due to non-critical effects such as non-spherical shape, resonance decays, event-by-event fluctuations and functional dependence on $Q_{inv}$ or similar.