abstract

The cosmological model first proposed in 1978 on the basis of the Generalised Field Theory (GET) is discussed in more detail. It is shown that the model requires a nonzero cosmological constant different from the de Sitter one, admits no horizons within the parts of the universe smoothed out by the geometrical symmetry condition, and predicts a negative deceleration parameter allowed by GET. It is also considered what role the model may play as an empirical test of the field theory.

abstract

An objection due to C.P. Johnson to the nonsymmetric unified field theory is critically examined.

abstract

The Einstein–Cartan–Maxwell equations are studied for Bianchi types I, VII\(_0\), VIII and IX cosmological models. A non-singular solution of Bianchi type I is given. It is shown that electromagnetic solutions of Bianchi types VIII and IX exist.

abstract

The phenomenological expression for inclusive single-particle cross section of pion production in N–N collisions is suggested giving a good description of experimental data at energies exceeding 5 GeV. This expression is used for calculation of average meson multiplicities of different charge sign, average meson kinetic energies and transverse momenta The calculated quantities are in good agreement with experiment.

abstract

The phenomenological expressions for differential single-particle inclusive cross sections of nucleon and \(\pi \)-meson production in inelastic \(\pi \)–N collisions at energies from 5 GeV up to some thousands GeV are obtained. Using these expressions the analysis of experimental data is performed.

abstract

\(\pi \)p elastic scattering at 200 GeV is calculated using the Glauber model with Lorentz-contracted oscillator type wave functions of hadrons. The model predicts a large increase of the slope of differential cross-section at small \(t\) which is not observed in the data.

abstract

Data on inclusive \(\Xi ^0\) production by 400 GeV protons incident on Be and Pb nuclei is used to extract quark and diquark fragmentation functions. The forward (\(x \gtrsim 0.5)\Xi ^0\) production from wounded quarks is small, hut changing its estimate well within errors, one changes the expected single spectator quark fragmentation function by a large factor. This effect, unnoticed in previous analyses, leaves the spectator diquark fragmentation function as our only reliable estimate. This function is similar to the proton into K\(^+\) fragmentation function and to the valence quark in the proton structure function, but very different from the proton diquark into \(\Lambda \) fragmentation function. Data is consistent with the assumption that the two quarks in the diquark fragment independently, but the experimental errors are too large to make a strong statement.

abstract

Third order phase transitions are studied in a model derived from quantum mechanics, but closely related to lattice gauge theories. The transitions are found to result from changes in the evolution of the range available to the eigenvalues of the matrix built from “gluon” fields. Without changing the continuum limit of the model it is possible to introduce an arbitrary number of such phase transitions, or to eliminate all of them. One can also introduce phase transitions in such a way that an analytic continuation past them is impossible.

abstract

Low \(p_{\rm T}\) jets in the hh collisions are discussed from the point of view of their similarity to jets in hard processes (in the e\(^+\)e\(^-\) annihilation in particular). The question of the relative role of perturbative versus non-perturbative QCD dynamics in low \(p_{\rm T}\) collisions is emphasized.

abstract

Experimental results are presented for the electrofission cross section of \(^{235}\)U in the energy range 10–34 MeV. An analysis of the data has been performed using the concept of virtual photons.

abstract

Parametrization of the hexadecapole deformation is generalized to non-axial shapes. It is given in a form directly applicable to a construction of the Woods–Saxon and the Nilsson single-particle potentials corresponding to such shapes. The Nilsson potential is given explicitly.