abstract

Angular distributions for elastic scattering of alpha particles on \(^{27}\)Al, \(^{28}\)Si, \(^{32}\)S, Ti and \(^{59}\)Co nuclei have been measured in the angular range from about 20\(^{\circ }\) to 179\(^{\circ }\) (LAB). The experimental data were fitted with the optical model in full angular range. Many sets of four-parameter potentials, describing the elastic scattering, were found with the depths of the real part ranging from 40 to 450 MeV. A new discrete ambiguity in the optical model namely in \(r_0\) was observed.

abstract

The ABFST model with dual amplitudes taken to describe the off-mass shell \(\pi \pi \) and \(\pi p\) scattering is applied to the reaction \(\pi ^+p\to 3\pi ^+2\pi ^-p\) at 8 GeV/\(c\). Previously the same process was studied in the framework of the ABFST model with \(\pi \pi \) and \(\pi p\) phase shifts and the Dürr–Pilkuhn off-shell extrapolation. However this extrapolation is known to disagree with the existing data on the off-mass shell \(\pi \pi \) scattering. By comparing the results of both calculations we study the dependence of the ABFST model description on a particular method of the off-mass shell extrapolation. We also compare the predictions of our model with experimental data using the Van Hove longitudinal phase-space method.

abstract

It is shown that for the nonlocal theory of Snyder’s type dispersion amplitudes are generalized analytic functions of their arguments. The true test of the microcausality at high energies are indicated.

abstract

A hypothesis is proposed which concerns the description of two-body systems in fast motion. The main idea consists in the determination of an absolute three-dimensional space spanned on the absolute coordinates such as those introduced by Kadyshevsky. The proposed framework results implicitly in the distinguished role of the over-all centre of mass system in accounting for the internal dynamics of an isolated system. The example of two spinless particles is presented which, despite its relative simplicity, exhibits the most important aspects of the proposed framework.

abstract

The problem of two gravitating bodies is considered in terms of a direct interparticle action. The action functional is given in a mathematically correct form. The equations following from the action principle contain both retarded and advanced potentials, however with the given functional the theory may easily be reformulated for only retarded interactions. The existence and uniqueness theorem is proved under certain conditions, provided the initial functions are given on some finite interval.

abstract

A circular motion of two gravitating bodies is considered. The interaction is described by means of the Fokker action. Particular attention is paid to the problem of stability. When speeds are sufficiently small the circular motion is found unstable. The system of the first approximation is considered for rather general form of the Fokker action. The theorem concerning stability of the system is proved for unperturbed retardations.

abstract

A new method of reduction of arbitrary quasirelativistic quantum-mechanical equation for two charged Dirac particles to the Pauli formalism is presented. The advantages of this method are:

• (1) it gives a criterion for choosing the most suitable form of quasirelativistic equation from among apparently equivalent alternative possibilities,
• (2) it permits considerable simplification of formal calculations and provides some demonstrative interpretation of intermediate results,
• (3) it makes possible direct generalization of results to arbitrary number of identical or different fermions,
• (4) it leads to the definition of other particle observables (understood in the sense of Foldy–Wouthuysen “mean operators”) which together with the Hamiltonian determine the basis of quantum-mechanical description of such systems.

abstract

The cross-sections for the production of isomeric states in \(^{131,133,135}\)Ba through the (\(n,2n\)) reaction using 14.8 MeV neutrons have been given. Estimates been obtained for isomeric ratios using the Huizenga and Vandenbosch method and the Gilbert and Cameron level density model.

abstract

The levels of \(^{143}\)Sm have been studied by means of the \(^{144}\)Sm(\(d,t\)) reaction at bombarding energies of 12.1 MeV and 13.1 MeV. The reaction products were observed by a solid state counter telescope or by a magnetic spectrograph. Levels at 0 keV, 108 keV, 755 keV and 1104 keV were populated by the (\(d,t\)) reaction. The ground state \(Q\)-value was found to be — 4.262 MeV. Angular distribution measurements are in agreement with the shell model assignments \(d_{3/2},s_{1/2}, h_{11/2}\) and \(d_{2/2}\), respectively, for the neutron hole states. The spectroscopic factors for these states were obtained from a DWBA calculation.

abstract

It is shown that the field equations of the nonsymmetric unified field theory imply equations of motion of a charged test particle with an electromagnetic force term. This result is contingent on the electromagnetic field tensor being suitably expressed in terms of the fundamental tensor. A conjecture of Wyman on the boundary conditions is adopted, and it is shown that to the required order of approximation the electromagnetic force consists of a Lorentz term together with a small correction term, linearly dependent on distance and similar to the Hubble law of cosmic repulsion. It is thus very different from the corrections previously contemplated (Treder 1957). These results remove a major objection to Einstein’s unified field theory. The appearance of what is essentially a correction term to a Coulomb field, is a firm prediction of the theory, capable in principle of an empirical verification.