Analysis of OPAL Bose-Einstein Correlation at $Z^0$-pole by the second conventional formula

TL;DR

This paper introduces a second conventional formula for Bose-Einstein Correlation analysis, applies it to OPAL data at the Z0 pole, and estimates interaction region parameters with considerations of long-range correlations.

Contribution

The paper develops a two-component extension of the conventional BEC formula and applies it to experimental data, providing new estimates of interaction region parameters.

Findings

Estimated interaction region sizes: R1=0.91 fm, R2=2.57 fm.

Determined degrees of coherence: λ1=0.61, λ2=0.35.

Analyzed effects of long-range correlations.

Abstract

We can obtain a second conventional formula (${\rm CF_{II}}$) with two components by extending the conventional formula ${\rm CF_{I}}$ with one component for Bose-Einstein Correlation (BEC). We used ${\rm CF_{II}}$ to analyze the BEC at $Z^0$-pole as part of the OPAL collaboration. $R_1({\rm G})=0.91\pm 0.03$ fm ($\lambda_1=0.61\pm 0.03$) and $R_2({\rm G})=2.57\pm 0.44$ fm ($\lambda_1=0.35\pm 0.09$) are the estimated interaction region, where $\lambda_1$ and $\lambda_2$ are the degrees of coherence, and G is the Gaussian distribution, respectively. Long range correlation (LRC) is also studied.