Regular Series


Vol. 10 (1979), No. 10, pp. 863 – 941


Theorems on Vector Fields in the General Relativistic \(\mu \)-Space

abstract

The relativistic \(\mu \)-space (state-space of a free particle in the gravitational field) is taken as a tangent bundle (fibre-space) over the space-time \(V_4\) and investigated as a special Riemannian space \(V_8\) with the methods of Ricci-calculus. Anholonomic coordinates are used to make clear the symmetries of \(V_8\), to define tensors in \(V_8\), to relate them to tensors of \(V_4\), and to prove theorems on vector fields and multivector fields in \(V_8\). Among these theorems is the relativistic Liouville-theorem in different forms.


Dissipation in the Hagedorn Early Universe

abstract

The viscosity coefficients of the Hagedorn hadronic matter are obtained by solving the Boltzmann kinetic equation in the relaxation-time approximation. The upper limit for the increase of entropy per baryonic charge was found to be \(\lt 10^{-4}\) in the “hadron era” of the Friedman universe and the model behaves almost like dust-filled models. There is no anisotropy damping in the Bianchi type I universe but a substantial growth of entropy is possible in that era when anisotropy has an extremely high value.


Further Remarks on the Global Superenergetic Quantities of a Closed System and on the Physical Meaning of the Superenergy

abstract

In this paper we discuss uniqueness of the global superenergetic quantities of a closed system in GRT = general relativity theory and in IECT the Einstein — Cartan theory the time dependence of global superenergetic quantities of a general closed system and the physical meaning of superenergy.


The Lorentz Gauge Field on the Riemannian Space and Its Spherically Symmetric Static Exact Solutions

abstract

In this paper the Lorentz gauge field on the Riemannian space-time is considered. The gravitational field equations follow directly by variation with respect to metric and connection. The general isotropic static exact solutions in vacuum are obtained, including the Schwarzschild solution and the absolutely parallelizable space as special cases.


Absorptive Effects in Nucleon Diffraction Dissociation

abstract

A Deck-type model with absorptive corrections is applied to diffraction dissociation process \({\rm Np} \to ({\rm N}\pi )\). The absorption was strengthened by an introduction of a multiplicative factor \(\lambda \approx 1.3\), which is associated with inelastic intermediate states. Most of the experimental distribution are satisfactorily described by the model.


Sum Rules for Meson and Baryon Production in the Quark Recombination Model

abstract

A quark-recombination model with quark distributions according to a generalized Kuti–Weisskopf model is used. Mesons are formed by v-s (valence-sea) and s-s recombination, baryons by vvv, vvs, vss and sss recombination. Sum rules for energy momentum conservation, baryon number, valence and sea quarks are shown to constrain the recombination parameters of the model significantly. The resulting model is consistent with experimental data. While the sss recombination into baryons is found to be quite normal we find a strong enhancement of ss recombination into mesons. This enhanced ss term represents in the model the central meson production via gluons.


Deep Inelastic Structure Functions and the Quark Parton Model

abstract

We present calculations of deep inelastic electromagnetic and weak structure functions, both spin-averaged and spin-dependent, in the quark parton model. We use a framework of the parton model with arbitrary transverse momenta of nucleon constituents. The already known results are also included, in order to have a comprehensive review of the whole subject. The cross sections for neutrino induced scattering on polarized targets are also discussed.


top

ver. 2024.03.17 • we use cookies and MathJax