# Hydrodynamic fluctuations near a critical endpoint and Hanbury Brown-Twiss interferometry

## TL;DR

This paper investigates how hydrodynamic fluctuations near a critical endpoint affect Hanbury Brown-Twiss interferometry in high-energy nuclear collisions, revealing increased fluctuations and oscillatory behavior in correlation functions.

## Contribution

It extends previous studies by analyzing the impact of hydrodynamic fluctuations on interferometry signals near a critical endpoint in heavy-ion collisions.

## Key findings

- Hydrodynamic fluctuations increase near the critical endpoint.
- Correlation functions show damped oscillations in rapidity distance.
- Fluctuations significantly alter interferometry measurements.

## Abstract

The field of high energy nuclear collisions has witnessed a surge of interest in the role played by hydrodynamic fluctuations. Hydrodynamic fluctuations may have significant effects on matter created in heavy-ion accelerators whose trajectories in the plane of temperature versus chemical potential pass near a possible critical endpoint. We extend previous studies to explore the impact of these fluctuations on Hanbury Brown-Twiss interferometry of identical hadrons. With an appropriately defined correlation function we find that the fluctuations increase substantially when the trajectory passes near a critical endpoint, and also displays a damped oscillatory behavior in the rapidity distance $\Delta y$ unlike that originating from initial-state fluctuations.