Moments of the truncated multiplicity distributions

Moments of the truncated multiplicity distributions TIn experiment, the multiplicity distributions of inelastic processes are truncated due to finite energy, insufficient statistics or special choice of events. It is shown that the moments of such truncated multiplicity distributions possess some typical features. In particular, the oscillations of cumulant moments at high ranks and their negative values at the second rank can be considered as ones most indicative on specifics of these distributions. They allow to distinguish between distributions of different type. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png EPJ direct Springer Journals

Moments of the truncated multiplicity distributions

Moments of the truncated multiplicity distributions

Eur Phys J C, EPJ C direct, 1 (2003) 004 EPJ C direct DOI 10.1140/epjcd/s2003-01-004-6 electronic only c Springer-Verlag 2003 Moments of the truncated multiplicity distributions I.M. Dremin, V.A. Nechitailo Lebedev Physical Institute, Leninsky pr. 53, 119991 Moscow, Russia dremin@lpi.ru Received: 2 Aug 2002 / Accepted: 19 Sep 2002 / Published online: 30 Jan 2003 Abstract. In experiment, the multiplicity distributions of inelastic processes are trun- cated due to finite energy, insufficient statistics or special choice of events. It is shown that the moments of such truncated multiplicity distributions possess some typical features.In particular, the oscillations of cumulant moments at high ranks and their negative values at the second rank can be considered as ones most indicative on specifics of these distributions. They allow to distinguish between distributions of different type. PACS: 12.38.Qk 1 Introduction Studies of multiplicity distributions of high-energy inelastic processes have pro- duced many important and sometimes unexpected results (for the reviews, see, e.g., [1, 2, 3]). The completely new region of very high multiplicities will be opened with the advent of RHIC, LHC and TESLA accelerators. Theoretical approaches to multiplicity distributions in high-energy processes have usually to deal with analytic expressions at (pre)asymptotic energies which only approximately account for the energy-momentum conservation laws or with purely phenomenological expressions of the probability theory. The multiplicity range extends in this case from zero to infinity. In experiment, however, one has to consider distributions truncated at some multiplicity values in one or another way. These cuts could appear due to energy limitations, low statistics of experimental data or because of special conditions of an experiment. Energy limitations always impose the upper cotoff on the tail of the multiplicity distributions. Low statistics of data can truncate these...
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Publisher
Springer Journals
Copyright
Copyright © 2003 by Springer-Verlag Berlin Heidelberg
Subject
Physics; Physics, general; Particle and Nuclear Physics; Nuclear Physics, Heavy Ions, Hadrons; Particle Acceleration and Detection, Beam Physics; Nuclear Fusion; Atomic/Molecular Structure and Spectra
ISSN
1435-3725
D.O.I.
10.1140/epjcd/s2003-01-004-6
Publisher site
See Article on Publisher Site

Abstract

TIn experiment, the multiplicity distributions of inelastic processes are truncated due to finite energy, insufficient statistics or special choice of events. It is shown that the moments of such truncated multiplicity distributions possess some typical features. In particular, the oscillations of cumulant moments at high ranks and their negative values at the second rank can be considered as ones most indicative on specifics of these distributions. They allow to distinguish between distributions of different type.

Journal

EPJ directSpringer Journals

Published: Jan 1, 2003

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