abstract

The starting point of the paper are Lorentz equations of motion in a given background field in General Relativity as well as the corresponding to them differential equations of the first and the second electromagnetic deviations derived recently by the authors (Acta Phys. Pol. B18, 601 (1987)). Certain first integrals to all these equations are now derived under the assumption that the space-time admits symmetries. A characteristic feature of the method used here for deriving these integrals is its certain universality which manifests itself in being in principle the same procedure leading to the integrals in the case of every one of the equations considered. It is also shown that a Killing vector field or a symmetric Killing tensor field generate along a Lorentzian world line a field of a natural first electromagnetic deviation.

abstract

We study cosmological consequences of the effective higher-dimensional action of gravity as resulting from superstring theories. Non-trivial fix points are found. Collapse of the compact space is seen to be possible for certain initial conditions, but for this to occur the Gauss—Bonnet term does not appear to be of direct importance.

abstract

An economical composite model of quarks is constructed, where beside the usual elementary leptons there are their opposite-charged counterparts carrying additionally an Abelian supercharge generating new superelectromagnetic interactions. They are responsible for binding these superleptons and some color-triplet supercharged scalar into supercharge-neutral composites interpreted as the usual quarks, but possessing in addition some supermagnetic moments. The corresponding gauge boson or superphoton as well as the superleptons are not confined, what leads to quark-splitting phenomena. An argument is given that the superelectromagnetic coupling constant \(\alpha _{\rm SEM}\) may be as large as 2. The usual gluons and electroweak intermediate bosons are here elementary. If true, the model opens new experimental perspectives.

abstract

A comprehensive review of known solutions of Yang–Mills field equations with dynamically coupled sources is presented. A special emphasis is put on real exact and smooth solutions, except for Euclidean instantons and monopoles. A number of ‘no go’ theorems is presented. A systematic approach to the study of nonlinear equations is described. This article is intended to supplement the existing reviews on the classical Yang–Mills theory.

abstract

The differential cross.sections of the \(^{58}\)Ni(n,p)\(^{58}\)Co reaction have been measured at 17.3 MeV neutron energy. The comparison of the results with data obtained earlier at 18.5 MeV suggests that multistep proton emission with excitation of the GDR as a doorway state takes place at these neutron energies.