Abstract
Multiplicity distributions exhibit, after closer inspection, peculiarly enhanced void probability and oscillatory behavior of the modified combinants. We discuss the possible sources of these oscillations and their impact on our understanding of the multiparticle production mechanism. Theoretical understanding of both phenomena within the class of compound distributions is presented.
Highlights
Multiplicity distributions, PðNÞ, are among the first observables measured in any multiparticle production experiment and are among the most thoroughly investigated and discussed sources of information on the mechanism of the production process [1]
We presented an approach in which one can simultaneously reproduce such features of the observed multiplicity distributions as their shape as a function of the multiplicity, PðNÞ, the peculiar properties of the observed void probabilities, Pð0Þ > Pð1Þ, and, the behavior of the modified combinants, Cj, which can be deduced from the measured PðNÞ
We have shown that the most popular type of multiplicity distribution, the negative binomial distribution (NBD), 1To be more specific, one can try to estimate the number of “hard" gluons participating in the interaction
Summary
Multiplicity distributions, PðNÞ, are among the first observables measured in any multiparticle production experiment and are among the most thoroughly investigated and discussed sources of information on the mechanism of the production process [1]. In this work we analyze the nonsingle diffractive (NSD) charged multiplicity distributions concentrating on two features: (i) on the observation that, after closer inspection, they show a peculiarly enhanced void probability, Pð0Þ > Pð1Þ [2,3], and (ii) on the oscillatory behavior of the so-called modified combinants, Cj, introduced by us in [4,5] We demonstrate how these modified combinants can be extracted experimentally from the measured PðNÞ by means of some recurrence relation involving all PðN < jÞ, and argue that they contain information (located mainly in the small N region) that has so far not been disclosed and used. Note that these Cj show very distinct oscillatory behavior (with a period roughly equal to 16 in this case), which gradually disappears with N. All multiplicity distributions for which the modified combinants Cj decrease monotonically with rank j [like, for example, the NBD, cf., Eq (7)] do not exhibit the enhanced void probability
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