Analysis of multiparticle production data on proton-nucleus collisions using a new variable

Multiparticle production data on proton-nucleus collisions have been analyzed taking the number of ‘created’ charged particles instead of the observed number of shower particles as the variable. The mean normalized multiplicity,R _A , has been found to be independent of energy in the energy range (7–8000) GeV and its mass number dependence has been obtained. The modified analysis introduces some more regularities in the experimental results onp-nucleus collisions like the invariance with respect to energy of the relationshipR _A = α + βN _h and the KNO-like scaling of the multiplicity distributions of the created charged particles. The functional form of the scaling function has been calculated.     

New tests of multiparticle production models

The two quantities known in statistical theory as the median and modal multiplicities form a better basis than the multiplicity moments for tests of multiparticle production models, and distinguish clearly between multiperipheral and diffractive models. The data indicate multiperipheral dominance.     

Evolution of clans in multiparticle production

An alternative interpretation of the development of the clan structure arising formally from the natural decomposition of the negative binomial multiplicity distribution is presented here. Our approach is based on stochastico-physical ideas of multiple production on the parton level. Specific differential-difference evolution equations have been proposed which besides the elementary processes involving the ingredients of QCD branching describe collective phenomena of clan's collapsing and clan's coherent disintegration.     

Associated multiparticle production and intra-nuclear cascading

In the existing experiments on multiparticle production off nuclei it is difficult to distinguish between intra-nuclear cascading of secondaries and the other mechanisms of production which give important information on the short-time development of hadronic interactions. It is argued that by selecting nuclear interactions with no or little shadowing one can unambiguously establish the existence (or lack) of intra-nuclear cascading. It is suggested that investigation of associated particle production in the photoproduction of heavy vector mesons from nuclei and in inelastic lepton-nucleus interactions is a promising method of analyzing intranuclear cascading.     

Finite-size scaling in the multiparticle production

The finite-size scalling analysis of the scaled factorial moment data is proposed. This analysis allows to extract the scaling indices of the underlying higher-dimensional scale-invariant multiparticle distributions. Moreover, it exhibits the change of the effective scale involved in the dimensional projection with transverse momentum cuts applied to the data.     

Azimuthal correlations in high-energy multiparticle production

Some features of the two-particle correlation phenomena, studied by means of azimuthal angle variables, are discussed. Assuming Gaussian forms for the single transverse momentum distributions, it is proposed to described the two-particle correlation with only one parameter. The influence of the kinematical constraints on the proposed correlation parameter is discussed, using a limited transverse momentum phase-space model.     

Multifractality and high energy multiparticle production

The multifractal behaviours of the various types of high energy collisions are analyzed using the normalized factorial moments which are calculated from the experimental data. Thef() curves for the various types of collision are constructed. The width of thef() curves seems to indicate roughly degree of intermittency or fluctuation of the data. The width of the curves also does not seem to be affected by the energy.     

Constructing non-perturbative gauges using correlation functions

Gauge fixing in the non-perturbative domain of non-Abelian gauge theories is obstructed by the Gribov-Singer ambiguity. To compare results from different methods it is necessary to resolve this ambiguity explicitly. Such a resolution is proposed using conditions on correlation functions for a family of non-perturbative Landau gauges. As a consequence, the various results available for correlation functions could possibly correspond to different non-perturbative Landau gauges, discriminated by an additional non-perturbative gauge parameter. The proposal, the necessary assumptions, and evidence from lattice gauge theory calculations, are presented in detail.     

Charge and strangeness transfer in multiparticle production

A simple explicit model for charge production is found to agree well with available data. This model combined with unitarity gives a realistic estimate for the suppression of two-body charge exchange scattering. Similar considerations are applied to strangeness transfer.     

Intermittency in multiparticle production at high energy

We present predictions of random cascading models for multiparticle production at high energy. Standard and correlated factorial moments in rapidity are shown to provide stringent tests of the intermittency patterns characteristic of random cascades. Using the central limit theorem we show how to test directly for the existence of a cascading process. Finally, we discuss how to take into account statistical corrections.     

Probing the space-time structure of multiparticle production processes

It is shown that the models for highenergy multiparticle production in which the notion of a hadronicformation time plays a central role are in disagreement with recently published compilations of the rescatter probabilities in 100 GeV/c \(\bar p\) d and 200 GeV/c p d collisions.