The Shape of the Correlation Function

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 Lévy-stable distributions. We show that the Lévy 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.

arXiv commentproceedings from the XIV Workshop on Particle Correlations and Femtoscopy, WPCF 2019, Dubna, Russia, June 3-7, 2019

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• A novel method for calculating Bose-Einstein correlation functions with Coulomb final-state interaction
• Pion interferometry with Lévy-stable sources in $\sqrt{s_{NN}}$ = 200 GeV Au+Au collisions at STAR
• Investigating the pion source function in heavy-ion collisions with the EPOS model
• Multi-dimensional investigation of the pion pair-source in heavy-ion collisions with EPOS