Multiplicity distribution of colour dipoles at small~$x$

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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submitted as uuencoded postscript file of whole paper: 14 pages with 5 figures. Postscript also available from http://www.he

Scientific paper

10.1016/0550-3213(95)00299-8

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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