Modified combinant analysis of the e+e− multiplicity distributions

Abstract

As shown recently, one can obtain additional information from the measured charged particle multiplicity distributions, P (N ), by extracting information from the modified combinants, C j . This information is encoded in their specific oscillatory behavior, which can be described only by some combinations of compound distributions such as the Binomial Distribution. This idea has been applied to pp and pp processes thus far. In this note we show that an even stronger effect is observed in the C j deduced from e + e − collisions. We present its possible explanation in terms of the Generalised Multiplicity Distribution (GMD) proposed some time ago.

A look at multiparticle production via modified combinants

“…A more stringent requirement before any phenomenological model is considered viable is to also reproduce the oscillatory behaviour seen in the so called modified combinants, C j , which can be derived from experimental data. In fact, this phenomenon is observed not only in pp collisions discussed in [11,12,13,14] but also, as demonstrated recently in [15], in e + e − annihilation processes. Such oscillations may be therefore indicative of additional information on the multiparticle production process, so far undisclosed.…”

“…We shall start with a reminder of two distinct observed patterns of modified combinants, one observed in e + e − annihilation [13,15] (cf. Fig.…”

“…1 shows the results of fits to both the experimentally measured [22] multiplicity distributions and the corresponding modified combinants C j calculated from these data (cf. [15] for details). [22] are fitted by the distribution obtained from the generating function given by Eq.…”

“…We close this Section by noting that the use of G(z) in the form of Eq. (8) corresponds to a QCD-based approach based on stochastic branching processes used in [15], the so-called Generalized Multiplicity distribution (GMD), with initial number of gluons given by a BD. In fact, such approach was formulated on general grounds already in [33] and resulted in the so-called Modified Negative Binomial Distribution (MNBD), cf.…”

A Look at Multiplicity Distributions via Modified Combinants

“…1 shows the results of attempts to fit both the experimentally measured [23] multiplicity distributions and the corresponding modified combinants calculated from these data (cf. [24] for details). The fits shown in Fig.…”