Factorial moments, cumulants and correlation integrals in π+p and K+p interactions at 250 GeV/c

N. Agababyan; H. Böttcher; F. Botterweck; M. Chalet; P. V. Chliapnikov; E. A. De Wolf; K. Dziunikowska; A. M F Endler; R. Sh Hakobyan; D. Kisielewska; W. Kittel; K. Olkiewicz; F. K. Rizatdinova; E. K. Shabalina; L. N. Smirnova; O. G. Tchikilev; A. Tomaradze; F. Verbeure

doi:10.1007/BF01498621

Factorial moments, cumulants and correlation integrals in π⁺p and K⁺p interactions at 250 GeV/c

N. Agababyan^*, H. Böttcher, F. Botterweck, M. Chalet, P. V. Chliapnikov, E. A. De Wolf, K. Dziunikowska, A. M F Endler, R. Sh Hakobyan, D. Kisielewska, W. Kittel, K. Olkiewicz, F. K. Rizatdinova, E. K. Shabalina, L. N. Smirnova, O. G. Tchikilev, A. Tomaradze, F. Verbeure

^*Corresponding author for this work

Physics and Astronomy

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Abstract

A selected sample of 59200 π⁺p and K⁺p nonsingle-diffrative interactions at {Mathematical expression} =22 GeV is used to investigate one, two- and three-dimensional factorial moments, factorial cumulant moments, as well as correlation integrals. The rise of factorial moments and cumulants with decreasing phase-space volume is stronger when evaluated in three than in lower dimensions. Ratios of slopes are easier to obtain than the slopes themselves. Contrary to earlier findings, they turn out to depend on the dimension. The order dependence of the averaged ratios is better described by a Lévy stable law solution with μ=1.6 than by Gaussian approximation of the α-model (μ=2) or a second order phase transition (μ=0), but values μ>2 inconsistent with Lévy-type fluctuations are reached in a three-dimensional analysis. The multiparticle contributions to the factorial moments are calculated by means of factorial cumulant moments. A particular improvement of the method is that of correlation (or density) integrals. It leads to the conclusion that Bose-Einstein interference plays an important role in the intermittency effect, but indication is found for an interpretation alternative to the conventional view of Bose-Einstein correlations.

Original language	English (US)
Pages (from-to)	405-426
Number of pages	22
Journal	Zeitschrift für Physik C Particles and Fields
Volume	59
Issue number	3
DOIs	https://doi.org/10.1007/BF01498621
State	Published - Sep 1993

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Physics and Astronomy (miscellaneous)

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Agababyan, N., Böttcher, H., Botterweck, F., Chalet, M., Chliapnikov, P. V., De Wolf, E. A., Dziunikowska, K., Endler, A. M. F., Hakobyan, R. S., Kisielewska, D., Kittel, W., Olkiewicz, K., Rizatdinova, F. K., Shabalina, E. K., Smirnova, L. N., Tchikilev, O. G., Tomaradze, A., & Verbeure, F. (1993). Factorial moments, cumulants and correlation integrals in π⁺p and K⁺p interactions at 250 GeV/c. Zeitschrift für Physik C Particles and Fields, 59(3), 405-426. https://doi.org/10.1007/BF01498621

@article{0f96d5e9b33d449d8e4e8b8b74145ea1,

title = "Factorial moments, cumulants and correlation integrals in π+p and K+p interactions at 250 GeV/c",

abstract = "A selected sample of 59200 π+p and K+p nonsingle-diffrative interactions at {Mathematical expression} =22 GeV is used to investigate one, two- and three-dimensional factorial moments, factorial cumulant moments, as well as correlation integrals. The rise of factorial moments and cumulants with decreasing phase-space volume is stronger when evaluated in three than in lower dimensions. Ratios of slopes are easier to obtain than the slopes themselves. Contrary to earlier findings, they turn out to depend on the dimension. The order dependence of the averaged ratios is better described by a L{\'e}vy stable law solution with μ=1.6 than by Gaussian approximation of the α-model (μ=2) or a second order phase transition (μ=0), but values μ>2 inconsistent with L{\'e}vy-type fluctuations are reached in a three-dimensional analysis. The multiparticle contributions to the factorial moments are calculated by means of factorial cumulant moments. A particular improvement of the method is that of correlation (or density) integrals. It leads to the conclusion that Bose-Einstein interference plays an important role in the intermittency effect, but indication is found for an interpretation alternative to the conventional view of Bose-Einstein correlations.",

author = "N. Agababyan and H. B{\"o}ttcher and F. Botterweck and M. Chalet and Chliapnikov, {P. V.} and {De Wolf}, {E. A.} and K. Dziunikowska and Endler, {A. M F} and Hakobyan, {R. Sh} and D. Kisielewska and W. Kittel and K. Olkiewicz and Rizatdinova, {F. K.} and Shabalina, {E. K.} and Smirnova, {L. N.} and Tchikilev, {O. G.} and A. Tomaradze and F. Verbeure",

year = "1993",

month = sep,

doi = "10.1007/BF01498621",

language = "English (US)",

volume = "59",

pages = "405--426",

journal = "European Physical Journal C",

issn = "1434-6044",

publisher = "Springer New York",

number = "3",

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Agababyan, N, Böttcher, H, Botterweck, F, Chalet, M, Chliapnikov, PV, De Wolf, EA, Dziunikowska, K, Endler, AMF, Hakobyan, RS, Kisielewska, D, Kittel, W, Olkiewicz, K, Rizatdinova, FK, Shabalina, EK, Smirnova, LN, Tchikilev, OG, Tomaradze, A & Verbeure, F 1993, 'Factorial moments, cumulants and correlation integrals in π⁺p and K⁺p interactions at 250 GeV/c', Zeitschrift für Physik C Particles and Fields, vol. 59, no. 3, pp. 405-426. https://doi.org/10.1007/BF01498621

TY - JOUR

T1 - Factorial moments, cumulants and correlation integrals in π+p and K+p interactions at 250 GeV/c

AU - Agababyan, N.

AU - Böttcher, H.

AU - Botterweck, F.

AU - Chalet, M.

AU - Chliapnikov, P. V.

AU - De Wolf, E. A.

AU - Dziunikowska, K.

AU - Endler, A. M F

AU - Hakobyan, R. Sh

AU - Kisielewska, D.

AU - Kittel, W.

AU - Olkiewicz, K.

AU - Rizatdinova, F. K.

AU - Shabalina, E. K.

AU - Smirnova, L. N.

AU - Tchikilev, O. G.

AU - Tomaradze, A.

AU - Verbeure, F.

PY - 1993/9

Y1 - 1993/9

N2 - A selected sample of 59200 π+p and K+p nonsingle-diffrative interactions at {Mathematical expression} =22 GeV is used to investigate one, two- and three-dimensional factorial moments, factorial cumulant moments, as well as correlation integrals. The rise of factorial moments and cumulants with decreasing phase-space volume is stronger when evaluated in three than in lower dimensions. Ratios of slopes are easier to obtain than the slopes themselves. Contrary to earlier findings, they turn out to depend on the dimension. The order dependence of the averaged ratios is better described by a Lévy stable law solution with μ=1.6 than by Gaussian approximation of the α-model (μ=2) or a second order phase transition (μ=0), but values μ>2 inconsistent with Lévy-type fluctuations are reached in a three-dimensional analysis. The multiparticle contributions to the factorial moments are calculated by means of factorial cumulant moments. A particular improvement of the method is that of correlation (or density) integrals. It leads to the conclusion that Bose-Einstein interference plays an important role in the intermittency effect, but indication is found for an interpretation alternative to the conventional view of Bose-Einstein correlations.

AB - A selected sample of 59200 π+p and K+p nonsingle-diffrative interactions at {Mathematical expression} =22 GeV is used to investigate one, two- and three-dimensional factorial moments, factorial cumulant moments, as well as correlation integrals. The rise of factorial moments and cumulants with decreasing phase-space volume is stronger when evaluated in three than in lower dimensions. Ratios of slopes are easier to obtain than the slopes themselves. Contrary to earlier findings, they turn out to depend on the dimension. The order dependence of the averaged ratios is better described by a Lévy stable law solution with μ=1.6 than by Gaussian approximation of the α-model (μ=2) or a second order phase transition (μ=0), but values μ>2 inconsistent with Lévy-type fluctuations are reached in a three-dimensional analysis. The multiparticle contributions to the factorial moments are calculated by means of factorial cumulant moments. A particular improvement of the method is that of correlation (or density) integrals. It leads to the conclusion that Bose-Einstein interference plays an important role in the intermittency effect, but indication is found for an interpretation alternative to the conventional view of Bose-Einstein correlations.

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DO - 10.1007/BF01498621

M3 - Article

AN - SCOPUS:0000099704

SN - 1434-6044

VL - 59

SP - 405

EP - 426

JO - European Physical Journal C

JF - European Physical Journal C

IS - 3

ER -

Factorial moments, cumulants and correlation integrals in π⁺p and K⁺p interactions at 250 GeV/c

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