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 language | English (US) |
|---|---|
| Pages (from-to) | 1975-1986 |
| Number of pages | 12 |
| Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Volume | 44 |
| Issue number | 7 |
| DOIs | |
| State | Published - 1991 |
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ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
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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 journal › Article
}
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
AN - SCOPUS:0011507670
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 -