Fixed particle number constraint in a simple model of a thermal expanding system and $pp$ collisions at the LHC

TL;DR

This paper investigates how fixed particle number constraints affect two-boson momentum correlations in a thermal expanding system, revealing that higher expansion rates and multiplicities suppress Bose-Einstein correlations, with implications for LHC p+p collision data.

Contribution

It provides an analytical model linking particle number constraints and expansion dynamics to Bose-Einstein correlation suppression in high-energy collisions.

Findings

Increased expansion rate enhances ground-state contribution.

Higher multiplicity suppresses Bose-Einstein correlations.

Model relates to LHC p+p collision measurements.

Abstract

Two-boson momentum correlations at fixed particle number constraint are studied in a simple analytically solvable model of a thermal expanding system. We show that the increase of expansion rate, as well as increase of particle multiplicity, enhances the ground-state contribution to particle momentum spectra and leads to suppression of the Bose-Einstein momentum correlations. The relations of these findings to the multiplicity-dependent measurements of the Bose-Einstein momentum correlations in high-multiplicity $p+p$ collision events at the LHC are discussed.