Finite volume and magnetic field effects on the two-pion correlation function in relativistic heavy-ion collisions

TL;DR

This paper investigates how finite volume and magnetic fields influence the two-pion correlation function in relativistic heavy-ion collisions, revealing significant distortions at low momenta and magnetic field effects on the correlation intercept.

Contribution

It introduces a model combining finite volume and magnetic field effects on pion wave functions in a cylindrical geometry, highlighting their impact on correlation functions.

Findings

Large distortion of correlation function at low pion pair momentum

Magnetic field reduces the ground state contribution and increases the correlation intercept

Finite density decreases the correlation function intercept

Abstract

We study the combined effects of a finite volume and an external magnetic field on the charged two-pion correlation function. For these purposes, we consider a dilute system of pions where the finite volume effects are introduced computing the pion wave functions with rigid boundary conditions in a cylindrical geometry in the presence of a uniform and constant magnetic field. We find that for slow pions, namely, for the case where the average pair momentum is small, the correlation function shows a large distortion, as opposed to the case where the average pair momentum is large. For a finite density system, the intercept of the correlation function is reduced, signaling the increasing importance of the pion ground state contribution. An increasing strength of the magnetic field reduces the importance of the ground state and the intercept becomes closer to 2.