Multiplicity distribution of colour dipoles at small~$x$

G. P. Salam

doi:10.1016/0550-3213(95)00299-8

Multiplicity distribution of colour dipoles at small~$x$

High Energy Physics - Phenomenology 2016-09-01 v1

Authors: G. P. Salam

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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.

Keywords

colour dipole multiplicity small x onium wave function multiplicity moments Monte Carlo simulation

Cite

@article{arxiv.hep-ph/9504284,
  title  = {Multiplicity distribution of colour dipoles at small~$x$},
  author = {G. P. Salam},
  journal= {arXiv preprint arXiv:hep-ph/9504284},
  year   = {2016}
}

Comments

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

Multiplicity distribution of colour dipoles at small~$x$

Abstract

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