Estimating the Parameters of Bose-Einstein Correlations from the Two-Particle Correlation Function in Multihadronic Final States

Details Estimating the Parameters of Bose-Einstein Correlations from the Two-Particle Correlation Function in Multihadronic Final States Estimating the Parameters of Bose-Einstein Correlations from the Two-Particle Correlation Function in Multihadronic Final States

1998-08-03

arxiv.org/abs/hep-ex/9808002v1

Nucl.Instrum.Meth. A423 (1999) 446-452

Physics

High Energy Physics

High Energy Physics - Experiment

9 pages, 4 figures

Scientific paper

10.1016/S0168-9002(98)01318-7

To estimate the strength of the Bose-Einstein correlations and the radius of the hadronization region in multiparticle production, the two-particle correlation functions $R$ for identical pairs is adjusted to a parametric function describing the enhancement at small momentum differences. This is usually done by means of a binned uncorrelated least squares fit. This article demonstrates that this procedure underestimates the statistical errors. A recipe is given to construct from the data the covariance matrix To estimate the strength of the Bose-Einstein correlations and the radius of the hadronization region in multiparticle production, the two-particle correlation functions $R$ for identical pairs is adjusted to a parametric function describing the enhancement at small momentum differences. This is usually done by means of a binned uncorrelated least squares fit. This article demonstrates that this procedure underestimates the statistical errors. A recipe is given to construct from the data the covariance matrix between the bins of the histogram of the two-particle correlation function.

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