
PROBLEMS OF PHYSICS, MATHEMATICS AND TECHNICS N1 (34) 2018
PHYSICS
Andreev V.V., Haurysh V.Yu., Krutov A.F. Method of calculation of electroweak characteristics of mesons in the Poincare invariant quantum mechanics
On the basis of the point form of Poincareinvariant quantum mechanics, a method for calculating the formsfactors and the decay constants of mesons, as relativistic coupled quark systems, is presented. As an example of the developed technique, an integral representation of the radiative decay constant of a vector meson
is obtained.
Keywords: quark, Poincareinvariant quantum mechanics, form factor, decay constant.
V.V. Andreev – Faculty of Physics and Information Technology, F. Skorina Gomel State University
V.Yu. Haurysh – P.O. Sukhoi Gomel State Technical University
A.F. Krutov – Samara University
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Vakulina E.V., Maksimenko N.V. Amplitude of Computon scattering on hadrons of spin 1 with account of spin polarizables
Within the framework of the Duffin – Kemmer – Petu formalism the Lagrangians of twophoton interactions with spin 1 hadrons are obtained in covariant form, taking into account the spinnew polarizabilities that are characteristic of spin 1/2 particles. On the basis of these Lagrangians, the covariant spin structures of the Compton scattering amplitude for spin 1 hadrons have been calculated. It is established that in the lowenergy approximation the spin polarizabilities contribute to the Compton scattering amplitude in third order in the photon energy. The tensorcovariant structures of the forward scattering amplitude that contribute to the spin polarizabilities of spin 1 hadrons are determined.
Keywords: hadrons, polarizability, Lagrangian, Compton scattering.
E.V. Vakulina – I.G. Petrovsky Bryansk State University, Novozibkov
N.V. Maksimenko – Faculty of Physics and Information Technology, F. Skorina Gomel State University
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Gaida L.S., Matuk E.V., Svistun A.Ch. Interaction of electromagnetic radiation with spheroidal metal nanoparticles in liquid
Results of theoretical researches of the effect of forces of light pressure upon spheroidal silver nanoparticles which are in liquid are given in work. Dependences of gradient force, forces of absorption and dispersion on the size and arrangement of spheroidal nanoparticles in the field of the focused laser beam of a Gaussian form are received.
Keywords: spheroidal metal nanoparticle, Gaussian beam, gradient force, forces of dispersion and absorption.
L.S. Gaida – Y. Kupala Grodno State University
E.V. Matuk – Y. Kupala Grodno State University
A.Ch. Svistun – Y. Kupala Grodno State University
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Kapshai V.N., Fialka S.I. Relativistic scattering cross sections of a twoparticle system in the case of interaction potentials containing a “barrier”
Quasipotential equations for scattering states of a twoparticle system with arbitrary angular momentum are investigated in the relativistic configuration representation. The case of spherically symmetric interaction potentials containing a “barrier” is considered. Scattering cross sections obtained from numerical calculations are presented, their resonant behavior is discussed in detail. Relativistic and nonrelativistic results are compared.
Keywords: quasipotential approach, Logunov – Tavkhelidze equation, Gross equation, Kadyshevsky equation, relativistic configuration representation, resonant states.
V.N. Kapshai – Faculty of Physics and Information Technology, F. Skorina Gomel State University
S.I. Fialka – Faculty of Physics and Information Technology, F. Skorina Gomel State University
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Okojie J.E., Golosov D.A., Melnikov S.N., Zavadski S.M., Kolos V.V., Poplevka E.A., Zhukovich Yu.A. Ferroelectric properties of strontiumbismuth tantalate thin film deposited by RF magnetron sputtering method
Characteristics of ferroelectric thin films of strontiumbismuth tantalate (SBT), which were deposited by means of HF magnetron sputtering on Pt/TiO_{x}/SiO_{2}/Si substrates, are investigated. The dependences of permittivity, residual polarization, and coercitivity of SBT films on the modes of subsequent annealing are established. Films with the residual polarization of 2Pr = 3.02 mC/cm^{2} and coercitivity of 2E_{c}=140 kV/cm are obtained at the annealing temperature of 800° C. The dielectric constant and loss tangent at the frequency of 1.0 MHz were accordingly equal to and The Curie temperature of the films reached 310–315° C.
Keywords: nonvolatile memory, FeRAM, ferroelectric, strontiumbismuth tantalate, SBT, HF magnetron sputtering.
J.E. Okojie – Belarusian State University of Informatics and Radioelectronics, Minsk
D.A. Golosov – Belarusian State University of Informatics and Radioelectronics, Minsk
S.N. Melnikov – Belarusian State University of Informatics and Radioelectronics, Minsk
S.M. Zavadski – Belarusian State University of Informatics and Radioelectronics, Minsk
V.V. Kolos – JSC “Integral”, Minsk
E.A. Poplevka – Belarusian State University of Informatics and Radioelectronics, Minsk
Yu.A. Zhukovich – JSC “Integral”, Minsk
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Semchenko A.V., Sidsky V.V., Tyulenkova O.I. The investigation of the sorption properties of silica gels synthesized by solgel method
The sorption properties of silica gels synthesized by solgel method were studied. Silica gel with magnetic properties possesses high sorption capacity in relation to Sn^{2+} ions and small sorption capacity to Sr^{2+} and Cu^{2+} ions and provides deep extraction of Sn^{2+} ions from liquid phases. With increasing of the concentration of iron carbonate the sorption properties of the synthesized samples are reduced, which is associated with the appearance of desorption.
Keywords: solgel method, sorption capacity, strontium ions, copper ions, plumbum ions, liquid phases, deep extraction.
A.V. Semchenko – Faculty of Physics and Information Technology, F. Skorina Gomel State University
V.V. Sidsky – Faculty of Physics and Information Technology, F. Skorina Gomel State University
O.I. Tyulenkova – Faculty of Physics and Information Technology, F. Skorina Gomel State University
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MATHEMATICS
Adarchenko N.M., Bliznets I.V., Rizhik V.N. On finite semipdecomposable groups
Belokon L.M. Intersections of maximal subgroups containing formation radicals
Vasilyeva T.I., Balychev S.V. On the influence of kprimary Hall subgroups on the structure of finite soluble groups
Let t be a natural number. In the class of finite soluble groups the properties of the class of all groups whose any kprimary Hall subgroups for belong to the saturated formation are found.
Keywords: soluble group, Hall subgroup, hereditary formation, saturated formation.
T.I. Vasil'eva – Faculty of Mathematics and Programming Technologies, F. Skorina Gomel State University
S.V. Balychev – Faculty of Mathematics and Programming Technologies, F. Skorina Gomel State University
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Malinkovsky Yu.V., Borodin N.N. Queueing networks with finite number of flows of negative customers and with limited sojourn time
The exponential queueing network with the usual positive and so called negative customers is considered. The sojourn time of customers in the network nodes is limited by the random variable which conditional distribution is exponential when customer quality in node is fixed. The customers serviced in nodes and customers leaving the nodes when sojourn time is completed can stay positive, become negative or leave the network in accordance with different routing matrixes.
Keywords: network, negative customer, limited sojourn time.
Yu.V. Malinkovsky – Faculty of Mathematics and Programming Technologies, F. Skorina Gomel State University
N.N. Borodin – P.O. Sukhoi Gomel State Technical University
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Monakhov V.S. On the supersoluble residual of mutually permutable products
We prove that if a group G=AB is the mutually permutable product of the supersoluble subgroups A and B, then the supersoluble residual of G coincides with the nilpotent residual of the derived subgroup G'.
Keywords: finite group, supersoluble subgroup, mutually permutable product, residual.
V.S. Monakhov – Faculty of Mathematics and Programming Technologies, F. Skorina Gomel State University
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Sidortsov M.V., Drapeza A.A., Starovoitov A.P. Speed of convergence of quadratic Hermite – Pade approximations confluent hypergeometric functions
The speed of convergence (including nondiagonal) of quadratic Hermite – Pade approximations of the system of the second kind is found. It consists of two degenerate hypergeometric functions when are arbitrary distinct complex numbers, and These proved theorems supplement and generalize the results obtained earlier by other authors.
Keywords: Hermite integrals, Hermite – Pade polynomials, Taylor series, Hermite – Pade approximations, asymptotic equality.
M.V. Sidortsov – Department of Mathematics, F. Sñorina Gomel State University
N.A. Starovoitova – F. Sñorina Gomel State University
A.P. Starovoitov – Department of Mathematics, F. Sñorina Gomel State University
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Skiba A.N. On one generalization of the local formations
INFORMATION SCIENCE
Bykhovtsev V.E., Smorodin V.S., Bondareva Yu.D. System analysis of the mathematical model of ground basis at the optimization of parameters of building RITpile
Based on the development of a mathematical model of a complex system, as a multiparameter image of an object of investigation, the conditions of constructing a RITpile of optimal material capacity for a given load were obtained by the method of system analysis.
Keywords: multiparametric image, finite set of mathematical models, soil bases, RITpiles, optimization of material consumption.
V.E. Bykhovtsev – Faculty of Mathematics and Programming Technologies, F. Skorina Gomel State University
V.S. Smorodin – Faculty of Mathematics and Programming Technologies, F. Skorina Gomel State University
Yu.D. Bondareva – Faculty of Mathematics and Programming Technologies, F. Skorina Gomel State University
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Varuyeu A.V., Demidenko O.M., Liauchuk V.D., Chechat P.L. Encapsulation of backbone traffic of data processing center
The process of creating a virtual backbone line based on protocols of an overlay communication is considered. The traffic transference is limited to public data channels.
Keywords: topology, media content, backbone traffic, VXLAN, VTEP, EVENG, channel of data transference.
A.V. Varuyeu – Faculty of Physics and Information Technology, F. Skorina Gomel State University
O.M. Demidenko – F. Skorina Gomel State University
V.D. Liauchuk – Faculty of Physics and Information Technology, F. Skorina Gomel State University
P.L. Chechet – Faculty of Physics and Information Technology, F. Skorina Gomel State University
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