# Use of cumulants to quantify uncertainties in the HBT measurements of the homogeneity regions

Source: [Use of cumulants to quantify uncertainties in the HBT measurements of the homogeneity regions](<https://www.sota2.com/research/paper/68fa22d07a2b558e2933df6e>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:52:21.953Z

Authors: K. Zalewski

Published: 2008-02-14T14:34:24.000Z

## Abstract

Let us denote p(x\|K) the space density of the points where identical particles of some kind, e.g. pi+ mesons, with momentum K are produced. When using the HBT method to determine p(x\|K) one encounters ambiguities. We show that these ambiguities do not affect the even cumulants of the distribution p(x\|K). In particular, the HBT radii of the homogeneity regions, which are given by the second order cumulants, and the distribution of distances between the pairs of production points for particles with momentum K can be reliably measured. The odd cumulants are ambiguous. The are, however, correlated. In particular, when the average position \<x\>(K) is known as a function of K there is no further ambiguity.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/0802.2025>)

[PDF](<https://arxiv.org/pdf/0802.2025.pdf>)