The Phenomenological Analysis of Hadronic Multiplicity Distributions

Multiplicity fluctuations in finite rapidity windows. Intermittency or quantum statistical correlation?

“…2 There is, however, an inherent ambiguity of parametrization between k and p, for all the larger rapidity windows [28]. The decrease of the 1/Jq as a function of increasing 8y can be partially due to an increase of the cell number k [28]. The value of p determined by the small 8y behavior may therefore be slightly overestimated [4].…”

Analysis of charged-particle–photon correlations in hadronic multiparticle production

“…where λ = k/ N , gives a fairly good two-parameter description of charged multiplicity distributions [16,17]. From (1) and (3) we also obtain a spectral representation for the generating function:…”

“…The layout of this paper is as follows: In Section 2 we review the conventional formalism [16][17][18][19][20] of single-variable generating functions and factorial moments used in describing global multiplicity distributions. We then develop the extensions required to describe the bivariate case of distributions of π ± 's and π 0 's.…”

Remarks on Koba-Nielsen-Olesen scaling

“…Another noticeable property of ϕ(z) arises in connection with Eq. (5). Since the KNO function ψ(z) obeys this form, with σ constrained by Eq.…”

“…θ = k. The scale parameter coincides with the shape parameter of the KNO scaling function. KNO scaling holds for energy independent k. Since the work of Koba, Nielsen and Olesen testing the validity of the scaling hypothesis and the analysis of the scaling function ψ(z) are of permanent interest in multiparticle phenomenology [5]. But there is a noteworthy fact that escaped attention: besides ψ(z) there is a second properly normalized scaling function obeyed by the P n .…”