abstract

Radioactive sources of \(^{134}\)Pr and \(^{134}\)Nd in equilibrium with the \(^{134}\)Pr daughter obtained by spallation reaction have been studied with Ge(Li) detectors. A new isomeric state has been found in \(^{134}\)Pr. Gamma-gamma coincidence have been measured using two 25 cm\(^3\) Ge(Li) detectors. On the basis of gamma intensities, energy sums, and coincidences information decay schemes are proposed for the isomeric and ground state of \(^{134}\)Pr.

abstract

In this paper nonlocal quantum electrodynamics is constructed satisfactorily. The theory is free of ultraviolet infinities, its \(S\)-matrix is macrocausal, unitary on the mass shell and fulfils gauge invariance.

abstract

Quantum Electrodynamics without ultraviolet infinities is constructed satisfactorily. The cosmic field, discovered earlier is utilized as the regularized field of the theory. The mechanism of violation of the scale invariance principle is outlined for the first time. In the second order of the perturbation theory the corrections for mass and charge of electron are obtained as follows \[ \frac {\delta m}{m}=\frac {3\alpha }{4\pi }\ln \left (\frac {1}{lm}\right )^2+O((lm)^2\ln (lm)^2)\,, \] \[ \frac {\delta e}{e}=-\frac {\alpha }{6\pi }\ln \left (\frac {1}{lm}\right )^2+O((lm)^2\ln (lm)^2)\,.\] The procedure for securing the gauge invariance of the theory is established. The problem of the equivalence theorem is discussed. Finally the system of equations for propagators of electron and photon is obtained and the physical meaning of the two renormalization constants \(Z\) and \(Z_1\) is discussed.

abstract

Expansion of the Einstein canonical pseudotensor, \(_Et_{\mu }^{\nu }\), for the gravitational field in the normal coordinate system in vacuum shows that the first generalized normal tensor, \(_Et_{\mu }^{\nu }\varrho _{\sigma }\), belonging to the \(_Et_{\mu }^{\nu }\) contains the Bel–Robinson tensor. It is therefore possible to connect some components of that tensor with the variations of the energy and momentum of the free gravitational field.

abstract

The formulae of the Glauber theory for collisions of two nuclei are expressed in terms of amplitudes of nucleon–nucleus interaction. Such an approach may be applied for the description of collisions of nuclei with considerably differ in size in the energy range \(\gt 200\)–300) MeV per nucleus of incident nucleus. The propagation of fast alpha-particles in photographic emulsion is calculated.

abstract

In this paper a model field theory is proposed especially for the study of general covariance. A detailed analysis is given on the determination of physical states, the role of coordinate conditions and the fundamental differences between a generally covariant theory and a Lorentz covariant one.

abstract

The 4-surface of stationary 4-volume embedded in a 5-dimensional pseudo-Euclidean space is studied as a model field theory. This model field shares many essential features with Einstein’s General Relativity. In particular it is generally covariant and intrinsically nonlinear, yet it is much simpler and more manageable especially in quantum theory. It is hoped that a study of such a simpler model will help towards a similar study of much more complex theories such as General Relativity.

abstract

In a previous paper a generally covariant and intrinsically nonlinear model field, the 4-surface of stationary volume embedded in a 5-dimensional pseudo-Euclidean space, was introduced. In this paper two new methods are put forward to study the model. The first one is an everywhere-slowly-varying field approach which is essentially perturbative. The second one is a variational method which is able to lead to some finite results.

abstract

As a continuation of considerations concerning a covariant Hamiltonian formalism previously proposed by the author, the FW-representation of the homogeneous Dirac equation and the definitions of the “mean” position and spin operators have been reformulated in a manifestly covariant way. Problems of a consistent physical interpretation of the displayed mathematical scheme have been discussed and some of its controversional aspects explained.

abstract

Physical conditions which arc imposed on the matter in a static fluid sphere are expressed in terms of differential inequalities. These inequalities are relating the two functions appearing in the general formal solution (in isotropic coordinates) to such conditions as the positive definite character of density or pressure or adiabatic stability. The standardized form of the set of inequalities admits a future computer-aided study on the influence of physical conditions upon the solutions of Einstein equations. Examples of an analysis of the physical behaviour of exact solutions are given.

abstract

The energy dependence of the cross-section for the diffractive production in the Deck type models is studied. For the reaction \(pp \to pn \pi ^+\) the cross-section decreases with the energy and its dependence on incident momentum can be reasonably represented as \(a + bp^{-\alpha }\).