Abstract
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.
Highlights
At the present the quantum chromodynamics does not enable to describe numerically the soft part of multi-particle production
The asymptotes were calculated at large string density, arbitrary distributed in transverse plane, what makes the results of the calculations closer to the experimental situation
The asymptotes were calculated by two different methods using the alternative definitions of the correlation coefficients
Summary
At the present the quantum chromodynamics does not enable to describe numerically the soft part of multi-particle production. NBM are the numbers of particles produced from the hadronizations of the string in forward and backward rapidity windows and p11F , . In the framework of the string fusion model the dependence of the average number of particles and the transverse momentum of these particles formed from decay of the fused strings in the cell on the number of strings have the following form:. The average numbers of particles formed from the hadronizations of the strings in i-th cell in forward rapidity window is assumed to be equal: niF = μF n(ηi). Where M is a total number of cells in the transverse grid
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