Asymptotes of multiplicity and transverse momentum correlation coefficients at large string density
St Petersburg State University
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Published online: 31 October 2018
The multiple hadron production in high energy collisions is studied in the model with string fusion on transverse lattice. In the framework of the model the asymptotes of the correlation coefficients between the mean transverse momentum and the multiplicity and between the mean transverse momenta for realistic case of non-uniform string distribution in transverse plane were calculated. The results were obtained by two different methods using the alternative definitions of the correlation coefficients. It is shown that the asymptotes of the correlation coefficients obtained by these two methods coincide in the leading approximation. The examples with non-uniform string distribution in transverse plane were considered. Strong dependence of the correlation coefficient between the transverse momentum and a multiplicity on non-uniformity in the distribution of the strings was found. In particular it is shown that there are distributions of strings for which this coefficient becomes negative. For the correlation coefficient between transverse momenta its dependence on the scaled variance of the number of particles produced from a single string, which disappears in the case of a homogeneous string distribution, is analyzed. The analytical asymptote for the correlation coefficient between transverse momenta obtained at large string density are compared with the results of the MC numerical calculations of this coefficient.
© The Authors, published by EDP Sciences, 2018
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