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Bakulev A.P.,Joint Institute for Nuclear Research | Khandramai V.L.,Gomel State Technical University
Computer Physics Communications

We provide here all the procedures in Mathematica which are needed for the computation of the analytic images of the strong coupling constant powers in Minkowski (A ν(s; nf) and Aνglob(s)) and Euclidean (A ν( Q2; nf) and Aνglob( Q2)) domains at arbitrary energy scales (s and Q2, correspondingly) for both schemes - with fixed number of active flavours nf=3,4,5,6 and the global one with taking into account all heavy-quark thresholds. These singularity-free couplings are inevitable elements of Analytic Perturbation Theory (APT) in QCD, proposed in [10,69,70], and its generalization - Fractional APT, suggested in [42,46,43], needed to apply the APT imperative for renormalization-group improved hadronic observables. © 2012 Elsevier B.V. All rights reserved. Source

A new relativistic form factor for a bound two-particle system was obtained for the case of a scalar current. The respective analysis was performed within the relativistic quasipotential approach based on a covariant Hamiltonian formulation of quantum field theory by going over to a three-dimensional relativistic configuration representation for the case of the interaction of two relativistic spinless particles that have arbitrary masses. © 2014 Pleiades Publishing, Ltd. Source

Shablovskii Y.O.,Gomel State Technical University
Theoretical Foundations of Chemical Engineering

The chemical and thermal components of exergy of solid-phase reaction systems have been analyzed. Chemical exergy is the measure of energy maintenance of chemical reaction; therefore, chemical exergy is intrinsic, not for a particular substance, but rather for a reaction mixture with a particular composition. The temperature dependence of the chemical exergy of the exothermic reaction mixture has a maximum and the temperature dependence of the chemical exergy of endothermic reaction mixture has a minimum. Equations for calculating the exergy components have been suggested, which assume the possibility of the presence of structural polymorphism for the crystal components of reaction mixture. © 2013 Pleiades Publishing, Ltd. Source

Andreev V.V.,Gomel State University | Pankov A.A.,Gomel State Technical University
Physics of Atomic Nuclei

An analysis of effects induced by new neutral gauge Z′ bosons was performed on the basis of data from the OPAL, DELPHI, ALEPH, and L3 experiments devoted to measuring differential cross sections for the process of the annihilation production of pairs of charged gauge W± bosons at the LEP2 collider. By using these experimental data, constraints on the Z′-boson mass and on the angle of Z-Z′ mixing were obtained for a number of extended gauge models. © 2012 Pleiades Publishing, Ltd. Source

Solovtsova O.P.,Gomel State Technical University
Physics of Atomic Nuclei

A nonperturbative approach based on the variational perturbation theory in quantum chromodynamics is developed. The variational series is different from the conventional perturbative expansion and can be used to go beyond the weak-coupling regime. The approach suggested takes into account the summation of threshold singularities and the involvement of nonperturbative light quark masses. Phenomenological applications of this approach to describe physical quantities connected with the hadronic τ-decay data: the R τ ratio, the light-quark Adler function, and the smeared R Δ function are presented. The description of examined quantities includes an infrared region and, therefore, they cannot be directly calculated within the standard perturbation theory. It is shown that in spite of this fact the approach suggested gives a rather good result for these quantities down to the lowest energy scale. © 2013 Pleiades Publishing, Ltd. Source

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