Multiplicity distribution of colour dipoles at small~$x$

G. P. Salam

Multiplicity distribution of colour dipoles at small~$x$

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arxiv hep-ph/9504284 v1 pith:7GBCMBEN submitted 1995-04-11 hep-ph

G. P. Salam This is my paper

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abstract

The colour dipole multiplicity distribution is analysed for the wave function of a heavy onium state at small $x$. Numerical results for the average multiplicity and the effect of cutoffs on its power growth are presented. Then, the full multiplicity distribution is analysed: the second multiplicity moment is derived and the tail of the distribution is shown to behave as $\exp(-\log^2 n)$. These results are confirmed by a Monte Carlo simulation which also gives the fluctuations in the spatial density of dipoles.

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