abstract

In this paper we introduce the notion of the superenergy supertensors and the notion of superenergy tensors. Every physical field which possesses the energy-momentum tensor (canonical or dynamical) will also have a corresponding superenergy supertensor (canonical or dynamical respectively) and a corresponding superenergy tensor (canonical or dynamical respectively). A superenergy supertensor and a superenergy tensor can also be assigned to physical fields which do not possess any energy-momentum tensor, e.g., to the gravitational field and to the curvature tensor field \(\{^{\alpha }_{\beta \gamma }\}\) and to the curvature tensor field \(R^{\dots \kappa }_{\mu \nu \lambda }({\mit \Gamma })\). In this paper we construct, among others, the superenergy supertensor for the tensor field \(R^{\dots \kappa }_{\mu \nu \lambda }({\mit \Gamma })\) of the Einstein–Cartan Theory. In the special case of the General Theory of Relativity this tensor is proportional to the Bel–Robinson tensor.

abstract

Kerr–Schild type solutions of \(R_{\alpha \beta }=\lambda g_{\alpha \beta }\) equations were sought. Some properties of the null vector appearing in such metrics when \(\lambda \not = 0\) have been determined. The most general solution was found for the case of the vanishing second directional derivative of the function determining the null vector. The chosen direction of the derivative has physical meaning. Some properties of the resulting metric are given.

abstract

Some divergent integrals encountered in the Kondo–Yang–Mills model of strong interactions are analyzed in it dimensions. This is to argue that the gauge which was used by Stuller in order to determine the mass of quarks can be characterized at it 4 explicitly by the gauge parameter \(\xi = 2\). The possible existence of such values of the coupling constant for which \(\xi \) will be undetermined is indicated.

abstract

Cross sections and correlations of large transverse momentum particles are calculated in the hard collision model as function of the transverse momenta and of the rapidities. We choose jets with deviation from scaling and limited transverse momenta relative to the jet axis and find short range rapidity correlation of large transverse momentum particles on the same or the opposite side as the trigger particle. The correlation length is related to the width of the transverse momentum distribution in the jet system and decreases with rising transverse momenta of the two particles, quite in agreement with experimental data.

abstract

Calculations of the quasipotential within simple Lee-like models are performed using the Królikowski–Rzewuski equations for the distinguished component of a state-vector. We consider the two-level quantum system, the one-dimensional Lee model and the usual Lee model. In the last case a comparison of our results with those of Glaser and Källen is made.

abstract

The average transverse momentum of pions is studied as a function of the longitudinal proton momentum for \(\pi \)p interactions in the momentum range from 5 to 23 GeV/\(c\). It is concluded that the effect of a possible baryon exchange on \(\langle P_{\rm T}\rangle \) of pions is much smaller than previously found by comparing events with backward and forward going protons.

abstract

The purpose of this paper is to discuss (basing on the recent data on the total widths of the resonances) dependence of \({\mit \Gamma }_{\gamma }\) on excitation energy several MeV greater than the binding energy, for several nuclides. Because we did not find any dependence \({\mit \Gamma }_{\gamma }\) on \(E_{\gamma }\) we calculate the average values of the total widths. We take these average values to test the dependence of \({\mit \Gamma }_{\gamma }\) on the mass number of compound nucleus, effective excitation energy and the density of single nucleon states at the Fermi level. We find the following expression \[{\mit \Gamma }_{\gamma }=11.7 A^{-1.6}U^{0.8}a^{-0.2}.\]

abstract

Absolute differential and total cross sections for the \(^9\)Be(d,\(\alpha \))\(^7\)Li reactions leading to the ground and first excited (470 keV) states of \(^7\)Li have been measured for bomdarding energies of 2.25 to 3.1 MeV. An analysis of these reactions for energies of 0.9 to 3.1 MeV has been performed in terms of the distorted-wave Born approximation (DWBA) for the two-nucleon transfer. The possible reasons of the discrepancies between theory and experiment are discussed.

abstract

We interpret the SLAC result \(W_1(\nu ,Q^2)\sim (1 - x_s)^4\) at large \(x_s\) as an evidence for there being three valence gluons (= “coquarks”) in the nucleon.