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

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

2008-02-14

arxiv.org/abs/0802.2025v1

Phys.Rev.D77:074006,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

LateX, 10 pages, no figures

Scientific paper

10.1103/PhysRevD.77.074006

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 (K) is known as a function of K there is no further ambiguity.

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