1994
DOI: 10.1016/0370-2693(94)01304-7
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Cumulants of QCD multiplicity distributions in small phase space bins

Abstract: It is shown that, as functions of their rank, cumulants of QCD multiplicity distributions in small phase space bins possess the quasioscillating behavior similar to that found for them in the total rapidity range. First minimum moves to lower ranks for smaller bins. For the total rapidity range, it moves to higher ranks with energy increase. The running property of the QCD coupling constant is in charge of these effects which can be verified in experiment.

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Cited by 13 publications
(4 citation statements)
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“…In contrast to the quark parameter, the gluon parameter, n h g has a value close to one, that is confirmed by fitting: n h g = 0.947 ± 0.002 at χ 2 /ndf = 34/17 = 2 (figure 1, the right panel). The TSM confirms predicted by I. Dremin [3] oscillations of the ratio of cumulative factorial moment to factorial moment as function of their rank, the growth of the period of oscillations at energy higher 90 GeV and changing of the sign of the second correlative moment with energy [8,14] …”
Section: Tsm and E + E − Annihilationsupporting
confidence: 76%
See 1 more Smart Citation
“…In contrast to the quark parameter, the gluon parameter, n h g has a value close to one, that is confirmed by fitting: n h g = 0.947 ± 0.002 at χ 2 /ndf = 34/17 = 2 (figure 1, the right panel). The TSM confirms predicted by I. Dremin [3] oscillations of the ratio of cumulative factorial moment to factorial moment as function of their rank, the growth of the period of oscillations at energy higher 90 GeV and changing of the sign of the second correlative moment with energy [8,14] …”
Section: Tsm and E + E − Annihilationsupporting
confidence: 76%
“…For the description of multi-particle processes, the language of the mathematical statistics is applied [3]. The multiplicity distribution (MD), P n , or the probability of production of n particles is the ratio P n = σ n /σ inel , where σ n is the topological cross section, σ inel = n σ n .…”
Section: Introductionmentioning
confidence: 99%
“…The minimum position slowly changes with energy and with the size of the phase space window because it is inverse proportional (see [40,89]) to the square root of the running coupling strength, i.e., to γ 0 . For some specific processes this shift can be very strong (e.g., it has been found for instanton induced processes [90] that the minimum moves to q ≈ 2 because the multiplicity distribution in these processes is very narrow).…”
Section: Oscillations Of Cumulant Momentsmentioning
confidence: 99%
“…The produced particles can be the baryons (qqq state), mesons (qq state) or leptons. Simplest but the most significant observation to describe the mechanism of particle production is the observation of charged particle multiplicity [5,6] and the distribution of number of particles produced, known as multiplicity distribution [7]. Multiplicity distribution, MD, also carries important information about the correlations of particles produced, thus providing a very fine way to inquest the dynamics of the quark-quark, gluon-gluon and quark-gluon interactions.…”
Section: Introductionmentioning
confidence: 99%