Abstract:
In the framework of the model with fusion of quark–gluon strings on the transverse lattice, we find the asymptotic behavior of the correlation coefficients between observables in separated rapidity intervals with a high string density in a realistic case with an inhomogeneous distribution of strings in the impact parameter plane. We calculate the asymptotic forms for three types of correlations: between the average transverse momenta of particles with rapidity in these intervals, between the average transverse momentum of particles in one rapidity interval and the multiplicity of particles in another, and also between the multiplicities of charged particles in these intervals. We show that the previously found independence of the asymptotic form of the correlation coefficient between the average transverse momenta from the variance in the number of particles produced in string fragmentation holds only in the case of a uniform distribution of strings in the transverse plane. We also show that the found general expressions for the long-range correlation coefficients in the particular case with a uniform distribution of strings in the transverse plane become the formulas previously obtained by another method applicable only in this simple case.
Keywords:
hadron interaction, high energy, multiple production, quark–gluon string, correlation of the transverse momentum.
This research was supported by the Russian Foundation for
Basic Research (Grant No. 15-02-02097) and St. Petersburg State University
(Grant No. 11.42.1055.2016).
Citation:
V. V. Vechernin, “Asymptotic behavior of the correlation coefficients of transverse momenta in the model with string fusion”, TMF, 190:2 (2017), 293–311; Theoret. and Math. Phys., 190:2 (2017), 251–267
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This publication is cited in the following 13 articles:
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
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
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
S. Belokurova, V. Vechernin, “Long-range correlations between observables in a model with translational invariance in rapidity”, Symmetry-Basel, 12:7 (2020), 1107
E. Andronov, V. Vechernin, “Strongly intensive observable between multiplicities in two acceptance windows in a string model”, Eur. Phys. J. A, 55:1 (2019), 14
I. Bautista, C. Pajares, J. E. Ramirez, “String percolation in aa and P plus P collisions”, Rev. Mex. Fis., 65:3 (2019), 197–223
S. N. Belokurova, V. V. Vechernin, “Strongly intensive variables and long-range correlations in the model with a lattice in the transverse plane”, Theoret. and Math. Phys., 200:2 (2019), 1094–1109
Belokurova S., Xxth International Seminar on High Energy Physics (Quarks-2018), Epj Web of Conferences, 191, eds. Volkova V., Zhezher Y., Levkov D., Rubakov V., Matveev V., E D P Sciences, 2018
Vechernin V., “Nonlinearity of the Forward-Backward Correlation Function in the Model With String Fusion”, 5Th International Conference on New Frontiers in Physics, Epj Web of Conferences, 164, eds. Bravina L., Foka Y., Kabana S., E D P Sciences, 2017, UNSP 07021
Vechernin V., “Long-Range Rapidity Correlations Between Mean Transverse Momenta”, Xxiii International Baldin Seminar on High Energy Physics Problems Relativistic Nuclear Physics and Quantum Chromodynamics (Baldin Ishepp Xxiii), Epj Web of Conferences, 138, eds. Bondarenko S., Burov V., Malakhov A., E D P Sciences, 2017, UNSP 03010
Vechernin V., “Long-Range Rapidity Correlations Between Mean Transverse Momenta in the Model With String Fusion”, 19Th International Seminar on High Energy Physics (Quarks-2016), Epj Web of Conferences, 125, eds. Andrianov V., Matveev V., Rubakov V., Kim V., Andrianov A., Fitkevich M., E D P Sciences, 2016, UNSP 04022
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