abstract

The Currie-Hill conditions for the relativistic world-line invariance of a Newtonian-like dynamical system of interacting particles are asymptotically integrated for \(x \to \infty \).

abstract

Following the procedure first presented by Öktem we show that for every tensor field \(H\), which is antisymmetric in the first two indices, we can attribute the so-called Maxwellian tensor \(M\). Physical interpretation of tensors of that kind is given in the case of the electromagnetic field \(F\) and in the case of the curvature tensor field \(R\) in the framework of standard General Relativity and in the framework of the Einstein–Cartan theory of gravitation.

abstract

We develop a simple method for calculation of the total cross sections on neutron from the data taken on deuteron targets. The systematic error due to this procedure is smaller than 0.3 mb for beam momenta above 50 GeV/\(c\). Using Glauber’s formula without inelastic screening, as often done in experimental papers, may introduce a much bigger error.

abstract

In this paper we extend our application of the \(l\)-dependent model to a wider range of cases than in a previous paper. We include more non-closed shell nuclei and some heavy nuclei as targets, getting better fits than previously found, with no substantial exceptions to the systematic properties of the \(l\)-dependent potential. For one mass sequence we find shell effects, but note that the results would be more certain if more analysing powers data were available. This paper makes the case that a simple pattern of \(l\)-dependence is a universal feature of proton scattering between 20 and 60 MeV. Since also, as we show, the effect on (p, p\('\)) is large, the effect of \(l\)-dependence upon direct reactions should not be ignored.

abstract

Modification of the low momentum behaviour of the perturbative SU(2) gauge theory is proposed. The modification is closely related (although not equivalent) to a nonstandard choice of boundary condition for the Euclidean 2-point gluonic Green function. In the resulting theory already single graphs lead to the confining potential between heavy, static quarks, \(V(r)=ar^2\) for \(r \to \infty \).

abstract

Differential scattering cross-sections for the elastic scattering of \(\alpha \) particles by \(^{12}\)C at low bombarding energies have been evaluated in the direct channel Regge-pole formalism, taking into account the contributions from a few nearby dominant excited levels of the compound nucleus \(^{16}\)Q and incorporating the background effect. The relevant pole parameters for the scattering process are also evaluated from the “least-squares-fit” with the experimental data. The overall agreement with the experiment is found to be satisfactory?

abstract

The connection between the cluster spectroscopic factors of the giant monopole isoscalar resonances, E0, and the ground states of nuclei has been established by means of the formalism of the Sp(2,R) group. These relations allow one to analyze the dependence of the cluster properties of the isoscalar E0 giant resonances on the mass number \(A\).