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.
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.
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
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Linking options:
https://www.mathnet.ru/eng/tmf9684
https://doi.org/10.4213/tmf9684
https://www.mathnet.ru/eng/tmf/v200/i2/p195
This publication is cited in the following 14 articles:
V. V. Vechernin, S. N. Belokurova, “Influence of Short-Range Rapidity Correlations on Multiplicity Fluctuations”, Phys. Part. Nuclei Lett., 22:1 (2025), 194
S. N. Belokurova, V. V. Vechernin, “Multiplicity Correlations in the Model with String Clusters in pp Collisions at LHC Energies”, Phys. Part. Nuclei, 55:4 (2024), 904
Svetlana Belokurova, Vladimir Vechernin, “Multiplicity Fluctuations in the String Model in pp Collisions at LHC Energies”, Phys. Atom. Nuclei, 87:S3 (2024), S471
E. V. Andronov, D. S. Prokhorova, A. A. Belousov, “Influence of quark–gluon string interactions on particle correlations in p+p collisions”, Theoret. and Math. Phys., 216:3 (2023), 1265–1277
V. V. Vechernin, S. N. Belokurova, “Strongly intensive variable in the model of high-energy pp
interactions with the formation of string clusters”, Theoret. and Math. Phys., 216:3 (2023), 1299–1312
S. N. Belokurova, V. V. Vechernin, “Strongly intensive observables as a tool for studying clusters of quark–gluon strings in relativistic hadron interactions”, Phys. Part. Nuclei, 54:3 (2023), 536
S. Belokurova, V. Vechernin, “Using a strongly intense observable to study the formation of quark-gluon string clusters in pp collisions at LHC energies”, Symmetry, 14:8 (2022), 1673
S. Belokurova, “Study of strongly intense quantities and robust variances in multi-particle production at LHC energies”, Phys. Part. Nuclei, 53:2 (2022), 154
V. Kovalenko, G. Feofilov, A. Puchkov, F. Valiev, “Multipomeron model with collective effects for high-energy hadron collisions”, Universe, 8:4 (2022), 246
S. N. Belokurova, V. V. Vechernin, “Calculation of long-range rapidity correlations in the model with string fusion on a transverse lattice”, Phys. Part. Nuclei, 51:3 (2020), 319–322
E. Andronov, V. Vechernin, “Multiplicity correlations with strongly intensive quantities”, Phys. Part. Nuclei, 51:3 (2020), 337–339
S. Belokurova, V. Vechernin, “Long-range correlations between observables in a model with translational invariance in rapidity”, Symmetry-Basel, 12:7 (2020), 1107
V V Vechernin, S N Belokurova, “The strongly intensive observable in pp collisions at LHC energies in the string fusion model”, J. Phys.: Conf. Ser., 1690:1 (2020), 012088
E. V. Andronov, V. N. Kovalenko, “Strongly Intensive Fluctuations between Multiplicity and Total Transverse Momentum in Relativistic p + p and p + Pb Collisions in the Multipomeron Exchange Approach”, Bull. Russ. Acad. Sci. Phys., 84:10 (2020), 1258
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