Regular Series


Vol. 14 (1983), No. 10, pp. 713 – 773


On the Gravitational Theory with Quadratic Lagrangian \(L_g=\varrho {\mit \Omega }^{i.}_{.j} \wedge \eta ^{.j}_{i.}+\overline {a}{\mit \Omega }^{i.}_{.j} \wedge \ast {\mit \Omega }^{j.}_{.i}+\alpha {\mit \Theta }^i \wedge \ast {\mit \Theta }_i\)

abstract

In the paper we consider the most simple spherically symmetric and cosmological solutions to the equations of the gravitational theory with the quadratic Lagrangian \(L_g=\varrho {\mit \Omega }^{i.}_{.j} \wedge \eta ^{.j}_{i.}+\overline {a}{\mit \Omega }^{i.}_{.j}\wedge \ast {\mit \Omega }^{j.}_{.i}+\alpha {\mit \Theta }^i \wedge \ast {\mit \Theta }_i\).


New Gravitational Instanton Solutions in Euclidean Gravity

abstract

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.


all authors

M.S. Levitsky, A.M. Moiseev, S.G. Silinskaia, E.A. Starchenko, D.I. Patalakha, S.V. Chekulaev, U. Gensch, M. Walter, J. MacNaughton, M. Markytan

Cross Sections for Principal Channels with One Neutral Particle in 32 GeV/\(c\) K–p Interactions

abstract

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.


Comparison of the Rigid Projectile Approximation with Exact Calculations for \(\alpha \)–\(\alpha \) Scattering

abstract

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.


An Algorithm for Calculating Massless Feynman Diagrams

abstract

A simple method for calculating multiloop massless Feynman diagrams is presented.


Motion of a Wave Packet in an External Yang–Mills Field

abstract

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.


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