Abstract
In this paper we propose an approach which demonstrates the dependence of quarkonia production on the multiplicity of the accompanying hadrons. Our approach is based on the three gluon fusion mechanism, without assuming the multiplicity dependence of the saturation scale. We show, that we describe the experimental data, which has a dependence that is much steeper than the multiplicity of the hadrons.
Highlights
We showed in Refs. [73,74], that in spite of the fact that in different kinematic regions, the QCD cascade leads to a different energy and dipole size dependence of the mean multiplicity, the multiplicity distribution has a general form: σn = 1 N − 1 n−1
As we have discussed in the introduction, we assume the production of heavy quakonia stems from three gluon fusion, and it is intimately related to the triple Pomeron interaction
In this paper we re-visited the problem of multiplicity distributions in high energy QCD, which we have discussed in Ref. [73] and found the distribution of Eq (59)
Summary
[73,74], that in spite of the fact that in different kinematic regions, the QCD cascade leads to a different energy and dipole size dependence of the mean multiplicity, the multiplicity distribution has a general form: σn = 1 N − 1 n−1. 4 we generalize the result in this toy-model approach to high energy QCD, and compare our estimates with the experimental data. 1 2 ri Equation (3) is a typical cascade equation in which the first term describes the depletion of the probability of n, due to one dipole decaying into two dipoles of arbitrary sizes, while the second term describes, the growth due to the splitting of (n − 1) dipoles into n dipoles. Which corresponds to the fact that we are discussing a dipole of definite size which develops the parton cascade. Since Pn (Y ; {ri }) is the probability to find dipoles {ri }, we have the following sum rule
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