Glauber-Lachs formula-based analysis of three-pion Bose-Einstein correlation data at 7 TeV from the LHCb Collaboration

TL;DR

This paper applies the Glauber-Lachs formula combined with a two-component model to analyze three-pion Bose-Einstein correlations at 7 TeV from LHCb, exploring different exchange function forms in a 4D Euclidean space.

Contribution

It introduces a novel combined approach using Glauber-Lachs and two-component models for analyzing pion correlation data at high energy.

Findings

Different exchange functions are tested, including dipole and inverse pole forms.

The analysis is performed in a 4D Euclidean configuration space.

Results provide insights into pion production mechanisms at LHC energies.

Abstract

We combine the Glauber--Lachs formula from quantum optics and the two-component picture for pion production to analyze data on two- and three-pion Bose--Einstein correlation at 7 TeV from the LHCb Collaboration. For the pion exchange function $E_{\rm 2B}$, we chose a dipole form and an inverse one-and-a-half pole form. The extensions are computed in the configuration space of 4-dimensional Euclidean space ($\xi=\sqrt{|\bm r_1-\bm r_2|^2+(t_1-t_2)^2}$).