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Teoreticheskaya i Matematicheskaya Fizika, 2019, Volume 200, Number 2, Pages 195–214
DOI: https://doi.org/10.4213/tmf9684
(Mi tmf9684)
 

This article is cited in 12 scientific papers (total in 12 papers)

Strongly intensive variables and long-range correlations in the model with a lattice in the transverse plane

S. N. Belokurova, V. V. Vechernin

St. Petersburg State University, St. Petersburg, Russia
References:
Abstract: In the framework of the quark–gluon string fusion model on the transverse lattice, we study a strongly intensive variable characterizing correlations between the number of particles produced in hadronic interactions in two observation windows separated by a rapidity interval. We show that in the case of independent identical strings, this variable is indeed strongly intensive. It depends only on string characteristics and is independent of trivial so-called volume fluctuations in the string number resulting, in particular, from inevitable impact parameter fluctuations. With string fusion effects causing the production of string clusters with new properties taken into account, this variable turns out to be equal to the weighted average of its values for different string clusters. The weighting coefficients depend on the collision conditions, and the variable loses its strongly intensive character. In the framework of this model in a realistic case with a nonuniform string distribution in the transverse plane, we find explicit analytic formulas for the asymptotic coefficients of long-range correlations between different quantities including an intensive one, the average transverse momentum. We analyze the properties of the obtained correlation coefficients, the studied strongly intensive variable, and also the possibilities of its experimental observation.
Keywords: hadronic interaction, high energy, multiparticle production, quark–gluon string, fluctuation, strongly intensive variable, correlation, transverse momentum.
Funding agency Grant number
Russian Foundation for Basic Research 18-02-40075
Saint Petersburg State University 28883480
European Cooperation in Science and Technology THOR
This research was supported by the Russian Foundation for Basic Research (Grant No. 18-02-40075) and St. Petersburg State University (Id: 28883480). The research of S. N. Belokurova was also supported by a grant THOR in the framework of the European program COST.
Received: 16.12.2018
Revised: 21.01.2019
English version:
Theoretical and Mathematical Physics, 2019, Volume 200, Issue 2, Pages 1094–1109
DOI: https://doi.org/10.1134/S0040577919080026
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. N. Belokurova, V. V. Vechernin, “Strongly intensive variables and long-range correlations in the model with a lattice in the transverse plane”, TMF, 200:2 (2019), 195–214; Theoret. and Math. Phys., 200:2 (2019), 1094–1109
Citation in format AMSBIB
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\paper Strongly intensive variables and long-range correlations in the~model with a~lattice in the~transverse plane
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  • https://doi.org/10.4213/tmf9684
  • https://www.mathnet.ru/eng/tmf/v200/i2/p195
  • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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