Correlation functions and factorial correlator data

H. C. Eggers, P. Carruthers, P. Lipa, Ina Sarcevic

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

The close connection between factorial moments and factorial correlators as integrals of the same underlying correlation function is explored, leading to extensions of sum rules previously suggested. Cumulants, which were previously found to be the fundamental building blocks for moments, have been analogously defined for the correlators also, revealing the true n-particle correlations. Decomposing the factorial correlators into cumulants, we find that the largest part of the correlators consists of two-particle correlations for NA22 data. The nonstationarity of the correlation function is found to affect the results to a surprisingly small degree. It is pointed out that all linking schemes for higher-order correlations must be tested not on the correlators but on the cumulants in order to claim success. Finally, applying our scheme to UA1 factorial moment data, we predict the size and shape of UA1 correlators.

Original languageEnglish (US)
Pages (from-to)1975-1986
Number of pages12
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume44
Issue number7
DOIs
StatePublished - 1991

Fingerprint

correlators
moments
sum rules

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

Correlation functions and factorial correlator data. / Eggers, H. C.; Carruthers, P.; Lipa, P.; Sarcevic, Ina.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 44, No. 7, 1991, p. 1975-1986.

Research output: Contribution to journalArticle

Eggers, H. C. ; Carruthers, P. ; Lipa, P. ; Sarcevic, Ina. / Correlation functions and factorial correlator data. In: Physical Review D - Particles, Fields, Gravitation and Cosmology. 1991 ; Vol. 44, No. 7. pp. 1975-1986.
@article{dd8b5f3bf35f41a4b2833aaebb1a78d6,
title = "Correlation functions and factorial correlator data",
abstract = "The close connection between factorial moments and factorial correlators as integrals of the same underlying correlation function is explored, leading to extensions of sum rules previously suggested. Cumulants, which were previously found to be the fundamental building blocks for moments, have been analogously defined for the correlators also, revealing the true n-particle correlations. Decomposing the factorial correlators into cumulants, we find that the largest part of the correlators consists of two-particle correlations for NA22 data. The nonstationarity of the correlation function is found to affect the results to a surprisingly small degree. It is pointed out that all linking schemes for higher-order correlations must be tested not on the correlators but on the cumulants in order to claim success. Finally, applying our scheme to UA1 factorial moment data, we predict the size and shape of UA1 correlators.",
author = "Eggers, {H. C.} and P. Carruthers and P. Lipa and Ina Sarcevic",
year = "1991",
doi = "10.1103/PhysRevD.44.1975",
language = "English (US)",
volume = "44",
pages = "1975--1986",
journal = "Physical review D: Particles and fields",
issn = "0556-2821",
publisher = "American Institute of Physics",
number = "7",

}

TY - JOUR

T1 - Correlation functions and factorial correlator data

AU - Eggers, H. C.

AU - Carruthers, P.

AU - Lipa, P.

AU - Sarcevic, Ina

PY - 1991

Y1 - 1991

N2 - The close connection between factorial moments and factorial correlators as integrals of the same underlying correlation function is explored, leading to extensions of sum rules previously suggested. Cumulants, which were previously found to be the fundamental building blocks for moments, have been analogously defined for the correlators also, revealing the true n-particle correlations. Decomposing the factorial correlators into cumulants, we find that the largest part of the correlators consists of two-particle correlations for NA22 data. The nonstationarity of the correlation function is found to affect the results to a surprisingly small degree. It is pointed out that all linking schemes for higher-order correlations must be tested not on the correlators but on the cumulants in order to claim success. Finally, applying our scheme to UA1 factorial moment data, we predict the size and shape of UA1 correlators.

AB - The close connection between factorial moments and factorial correlators as integrals of the same underlying correlation function is explored, leading to extensions of sum rules previously suggested. Cumulants, which were previously found to be the fundamental building blocks for moments, have been analogously defined for the correlators also, revealing the true n-particle correlations. Decomposing the factorial correlators into cumulants, we find that the largest part of the correlators consists of two-particle correlations for NA22 data. The nonstationarity of the correlation function is found to affect the results to a surprisingly small degree. It is pointed out that all linking schemes for higher-order correlations must be tested not on the correlators but on the cumulants in order to claim success. Finally, applying our scheme to UA1 factorial moment data, we predict the size and shape of UA1 correlators.

UR - http://www.scopus.com/inward/record.url?scp=0011507670&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0011507670&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.44.1975

DO - 10.1103/PhysRevD.44.1975

M3 - Article

VL - 44

SP - 1975

EP - 1986

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 0556-2821

IS - 7

ER -