abstract

We estimate the inclusive quark-nucleon cross section in the lowest order of QCD and apply it to the description of the spectrum of final hadrons leptoproduced from nuclear targets. The numerical calculations in the case of neutrino–nucleus scattering are performed.

abstract

Multiplicity distribution of double scattering events is analysed using the additive quark model including the cascading effect. The mean multiplicity of particles produced in the process of cascading estimated for \(\pi \)d experiments at 100, 205 and 360 GeV/\(c\) is 1.15\(\pm \)0.31. This value does not depend on the momentum of the incident pion. Some indications are found that the probability of cascading depends on multiplicity of the collision with the first nucleon and is smaller for low multiplicities.

abstract

The hypothesis is put forward that the world’s three discrete spatial dimensions follow from some yet unknown quantum rule called the zero quantization. Then the next-quantization procedure (an analogue of the second quantization) is discussed, leading from the hypothetic zero-quantization level to the familiar first-quantization level. The Fermi-Dirac or Bose-Einstein version of this procedure is shown to originate the particle spin 1/2 or particle position and momentum, respectively. At the same time there appear additional “internal” degrees of freedom, both spin-1/2-like and orbital-like, the former implying two species of spin-1/2-particles, while the latter — their “internal” radial- and orbital-like excitations. The resulting group is SO(6,l)\(\supset \)SO(3,l)\(\times \)SO(3), where SO(3,l) denotes the Lorentz group and 30(3) relates to these additional “internal” degrees of freedom, defining generators interpreted possibly as the weak isospin 1/2 plus its orbital-like analogue.

abstract

In these lectures fundamental mathematical aspects of quantum field theory are discussed. A brief review of various recent approaches to mathematical problems of quantum electrodynamics is given, preceded by a more extensive account of the development of ideas on the mathematical nature of quantum fields in general, providing an appropriate historical context.

abstract

The mechanism of multi-hadron production in low \(p_{\rm T}\) hadronic interactions is studied in the framework of the dual parton model. The predictions of the model are compared with recent experimental data on pp and \(\overline {\rm p}\)p collisions at ISR and SPS colliders, \(\overline {\rm p}\)p annihilation, proton–nucleus collisions, \(\alpha \)–\(\alpha \) collisions at ISR, etc. I also review some predictions of the reggeon calculus for \(\sigma _{\rm Tot}\) and \(d\sigma /dt\), as well as the dual model approach to the calculation of hadronic masses.

abstract

The important field of \(\gamma \gamma \) reactions will be covered by Drs. A. Backer and H. Kolanoski. For more details about electroweak effects observed at PETRA the reader is referred to the report of Prof. J. Branson. The term “recent” in the title refers essentially to the time span between the Bonn Conference and May 1982.