abstract

The affine connection of Einstein’s weak and strong unified field theories can be expressed in terms of the fundamental tensor by solving a system of sixty-four algebraic equations. In the Einstein–Kaufman theory, there is again a system of sixty-four algebraic equations but it is shown that the rank of this system is only sixty. \(g_{_{\mu \nu \atop +-}{;\lambda }} -\frac {2}{3}({\mit \Gamma }_{\nu }g_{\mu \lambda }+{\mit \Gamma }_{\lambda } g_{\mu \nu })=0.\)

abstract

Although the Russell–Klotz electromagnetic tensor produced both a Lorentz force term in the equations of motion and a modified Coulomb law between two charges, the two results were at variance. Another tensor is introduced which provides satisfactory results and suggests the introduction of a non-Maxwellian electromagnetic theory. A third order weak field expansion is developed to examine the Russell–Klotz tensor.

abstract

It is pointed Out that the baryonic charge distribution in multiparticle production may bring valuable information about the mechanism of hadronic collisions at high energies. The CERN ISR data, supplemented by some plausible assumptions, are then used to construct the baryonic and electric charge distributions of final state particles at \(p_{\rm T}=0.4\) GeV/\(c\). Both the distributions are found similar. Finally, the conjecture, that the same simple relation holds also for overall (i.e. integrated over \(p_{\rm T}\)) rapidity distributions of both charges, is qualitatively shown to be compatible with quark-parton models of multiparticie production.

abstract

The thermodynamics of the grand canonical ensemble of MIT bags is studied; the finite extension of the bags is taken into account as covolume á la van der Waals. Due to this finite extension, proportional to the bag mass, the gas has no ultimate temperature though the level density is similar to that of the statistical bootstrap model. The bag gas has a first order phase transition into a quark continuum. Connections to the hydrodynamical model of Landau are outlined.

abstract

The predictions of parton models for the single-particle distribution in the large \(p_{\rm T}\) region are analysed. An explicit expression for the slope \(B\) in the formula \(E\frac {d\sigma }{d^3p}=\frac {c}{p_{\rm T}^N}e^{-Bx_{\rm T}}\) is derived. It is shown that the weak rapidity dependence of \(B\), observed at ISR implies the hard scattering cross-section \(\frac {d\sigma }{dt}\) to be approximately independent of energy at fixed \(p_{\rm T}\).

abstract

We calculate the two-particle distribution and the associated multiplicity for large \(p_{\rm T}\) region in the framework of the parton models. We find that it is possible to construct a model being able to fit quite well a large amount of data on the two-particle level. The model should possess the following properties: a) the hard scattering cross-section should be independent of energy at fixed \(p_{\rm T}\), b) both quasi-exclusive (single-jet) and inclusive (double-jet) components must be present with the cross-section for the double-jet process at least one order of magnitude larger than that for the single-jet process, c) the mean transverse momentum in the jet fragmentation should be of the order of 630 MeV, d) the jet structure function should be damped like \((1-x)^2\) for \(x \to 1\).

abstract

Assuming the geometrical model of particle production, the average multiplicity of negative particles produced in high-energy proton–nucleus collisions at fixed impact parameter is determined from experimental multiplicity distribution and elastic scattering data. The results are compared with the similar analysis performed earlier for proton–proton collisions.

abstract

Experiments on the \(A\) dependence of the photoabsorption processes of real and virtual photons are discussed with emphasis on experiments with the charged leptons.

abstract

The realistic level density distribution recently given by French and Wong is used to evaluate this energy average of the scattering function and the results are compared with the usual expression which is obtained using Wigner’s semi-circle distribution.