In this paper we introduce the notion of the total superenergy tensors in the general relativity and in the Einstein–Cartan theory. We calculate the explicit forms of these tensors and give some remarks about the global superenergetic quantities of a closed system.
In a previous paper the general theory of the electromagnetic field generated by rotation of an electrically conducting sphere in a time-independent homogeneous external magnetic field was developed. In a second paper the results were applied to a sphere in a laboratory experiment (laboratory approximation). Here the results are specialized for a spherical rotating celestial body which generates a characteristic magnetic dipole and an electric quadrupole (cosmic approximation). The first quantity is used to treat the gyroscopic equation of motion of the body in an external magnetic field, admitting isotropic friction. The physical behaviour of the body shows two interesting features: 1. a precession with a characteristic frequency, 2. parallelization of the rotational axis towards the external field direction due to friction.
Symanzik’s method of renormalization in ultraviolet nonrenormalizable quantum field theories is applied to the construction of Green’s functions of the massless \(\varphi ^6_{3+\varepsilon }\) theory. The renormalization of a regularized version of the theory is presented.
Symanzik’s method of renormalization is applied to construct Green’s functions of the nonrenormalizable massless \(\varphi ^6_{3+\varepsilon }\) theory. The unmodified method leads to the expansion for vertex functions in four dimensions which contains logarithms and also square roots of the coupling constant. Higher terms in the quasi-perturbative expansion are analyzed.
Exact solutions of nonlinear generalizations of the Klein Gordon equation analogous to multi-solitons of classical theories are constructed. The number of distinct solutions of this type is shown to be dependent upon the dimensionality of space-time. Some of the solutions are localized in 3+1 dimensions and are time dependent generalizations of single peak confined solutions.
It is conjectured that the enhancements observed in diffractive dissociation processes are gluonic excitations of the initial beam particles. Arguments in favour of this conjecture are collected.
The transition rates for the (\(K^-\), \(\pi ^-\)) two body reactions at rest leading to the production of hypernuclear \(\gamma \)-emitters have been calculated for different light targets. The calculated production rates are in general lower than \(5 \times 10^{-5}\) per captured kaon.
In this paper the bound-state spectrum of the radial Schrödinger equation \[u''(r; K)+\left \{K^2-\frac {l(l+1)}{r^2}-U(r)\right \}u(r; K)=0\,,\qquad u(0; K)=0\,,\] is investigated for \(K^2 \lt 0\). First, it is shown that if the wave function describes bound-states for a continuum of energies, then its derivative becomes unbounded at the origin. This is possible only if both the linearly independent solutions vanish at the origin and conversely if they both vanish at the origin, a continuum of bound-states exists. Finally, a necessary and sufficient condition for the existence of a bound-state continuum is that either (a) both the linearly independent solutions should vanish at the origin or, (b) the derivative of the solution which vanishes at the origin must be unbounded there.
A sequential decay model developed for hadron–hadron multiparticle production has been extended to production taking place in the nuclear matter. Consequences for the hadron–nucleus production processes are discussed.
