The general theory of branching processes is used for establishing the relation between the parameters [ital k] and [ital [bar n]] of the negative binomial distribution. This relation gives the possibility to describe the overall data on multiplicity distributions in [ital pp]([ital p[bar p]]) collisions for energies up to 900 GeV and to make several interesting predictions for higher energies. This general approach is free from ambiguities associated with the extrapolation of the parameter… Expand

The phenomenology of particle multiplicity distributions is examined, with special emphasis on the low multiplicities that are a background to the study of rapidity gaps, and it is demonstrated that ignoring particles with [ital p][sub [perpendicular]][lt]0.2 GeV/[ital c].Expand

Multiplicity distributions $P(N)$ measured in multiparticle production processes are most frequently described by the Negative Binomial Distribution (NBD). However, with increasing collision energy… Expand

The multiplicity-distribution of High-Energy-Interaction, had earlier been analysed w.r.t. clan-model and Negative-Binomial-Distribution (NBD), which described the underlying particle production… Expand

The function $\gamma(x)=\frac{1}{\sqrt{1-x^2}}$ plays an important role in mathematical physics, e.g. as factor for relativistic time dilation in case of $x=\beta$ with $\beta=\frac{v}{c}$ or… Expand

It is shown that an adequate mathematical model for the physical reality must be finite, and a finite approach to past proper time is given, which turns out to be proportional to the sum of the return probabilities of a Bernoulli random walk.Expand