In the paper we consider the most simple spherically symmetric and cosmological solutions to the equations of the gravitational theory with the quadratic Lagrangian \(L_g=\varrho {\mit \Omega }^{i.}_{.j} \wedge \eta ^{.j}_{i.}+\overline {a}{\mit \Omega }^{i.}_{.j}\wedge \ast {\mit \Omega }^{j.}_{.i}+\alpha {\mit \Theta }^i \wedge \ast {\mit \Theta }_i\).
A new class of gravitational instanton solutions with (and without) \({\mit \Lambda }\)-term is given. The solutions are Euclidean generalizations of various Bianchi types and the Kantowski–Sachs model.
In this paper a procedure for separating channels with one neutral particle produced in 32 GeV/\(c\) K–p interactions is described. Cross section values for the reactions with one \(\pi ^0\), \(\bar K^0\) unseen or neutron are presented, and their energy dependence is shown.
We compare the results for the distribution of the number of wounded nucleons obtained in the rigid projectile approximation with the results of exact calculations for \(\alpha \)–\(\alpha \) interactions at CERN ISR energies.
Two further examples of motion of a wave packet in external Yang–Mills fields are investigated. We find that because of the interaction with the gauge field the wave packet splits into a number of parts which remain spatially separated in the \(\hslash \to 0\) limit. Therefore, these examples confirm our point of view that quantum mechanics of colored particles does not have simple classical limit.