Multiplicity distribution of colour dipoles at small~$x$
arXiv:hep-ph/9504284 · doi:10.1016/0550-3213(95)00299-8
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.
submitted as uuencoded postscript file of whole paper: 14 pages with 5 figures. Postscript also available from http://www.hep.phy.cam.ac.uk/theory/papers/index.html