The Journal of Kharkov National University, Vol. 510,
Physical series "NUCLEI, PARTICLES, FIELDS", Issue 1 /13/, 2001

Title Page   (72-Kb PDF file)
 
ARTICLES
 
 Yu.. Kasatkin, I.. Kirichenko, A.P. Korzh
 The field-theory description photodisintegration of fwe-body systems (Rus.)
 S.A. Duplij
 Semigroups of supermatrices and one-parameter idempotent superoperators
11 
 S.A. Duplij, A. Frydryszak
 Supersymmetry, nontrivial fermionic shell and nilpotent mechanics
24 
 M.Y. Kovalevsky, A.L. Shishkin
 To hydrodynamics of uniaxial nematics with conformation degrees of freedom (Rus.)
31 
 N.V. Bondarenko, N.F. Shul'ga
 To the theory of bremsstrahlung from relativistic electrons at arbitrary momentum transfers to the external field (Rus.)
37 
 V.Yu. Korda
 Implementation of a genetic algorithm for analyzing spectra of quantum systems
41 
 V.N. Bolotov, T.Y. Guralnik
 On the theory of the transition scattering (Rus.)
44 
 Yu.I. Shil'nov, V.V. Chytov
 Electromagnetic and gravitation fields influence on the phase structure of the  d - dimensional Numbu-Jona-Lasinio model (Rus.)
49 
 I.N. Kudryavtsev
 Lattice dynamics and heat capacity of anisotropic  YBCO  high-temperature superconductors (Rus.)
53 
  V.F. Aleksin , V.D. Khodusov
 Mandelstam-Brilluoin scattering from the secondary waves in gas of quasi-particles (Rus.)
59 
 A.M. Egorov, V.F. Klepikov, A.G. Ponomarev, A.G. Tolstolutskiy, V.V. Uvarov, V.T. Uvarov
 Optical diagnostycs of collector plasma (Rus.)
62 
 E.A. Barannik, S.A. Girnyk, V.V. Tovstyak, A.I. Marusenko
 Shear excitations of viscoelastic environments generated by ultrasound (Rus.)
67 
 V.G. Kirichenko, V.M. Kuklin
 The features f conversion of crystal structures under phase transformations (Rus.)
73 
 Yu.I. Gofman, A.I. Kirdin, T.A. Kovalenko
 Stuctural and phase transformations and radiation heredity in alloy  AL-0,1%Fe  under electron irradiation (Rus.)
76 
 V.E. Semenenko, G.P. Kovtun
 Tensile and diffusion properties of lamellar eutectic composition  Ni-Ni3B (Rus.)
79 
 V.N. Voevodin, L.S. Ozhigov, A.A. Parkhomenko, N.V. Kamyshanchenko, V.V. Krasil'nikov, V.V. Sirota
 Influence of plastic deformation micro and meso levels on radiation materials embrittlement (Rus.)
83 
 A.N. Dovbnya, N.P. Dikiy, A.S. Zadvorniy, A.V. Torgovkin, B.I. Shramenko
 Research of  184Re, 186Re  and  188Re  production on electron linear accelerators of  NSC  KIPT (Rus.)
87 
 M.I. Bazaleyev, Yu.A. Berezhnoy, V.F. Klepikov, R.I. Kuznetsova, V.V. Lytvynenko
 Simulation of the electrophysical modification of materials for the systems which sound out the ionosphere (Rus.)
91 
 A.G. Guglya, Yu. A. Marchenko, M.Yu. Silkin, S.N. Styervoyedov
 The technological control system of the ion-beam assisted deposition plant for covering deposition & material synthesis (Rus.)
94 
 N.M. Pelykhatiy, N.I. Kovalenko, T.C. Plahtiy, A.K. Ghnap
 Thermodynamic processes in the irradiated solid-state objects subjected preliminary termofield effect (Rus.)
99 


THE FIELD-THEORY DESCRIPTION PHOTODISINTEGRATION OF FWE-BODY SYSTEMS

Yu.. Kasatkin, I.. Kirichenko, A.P. Korzh

Abstract
The approach for photodisintegration lightest atomic nuclei is advanced. In amplitude the requirements covariance and gauge of invariance are combined in view of internal structure of compound system. The researches of the relative contributions pole and regular parts of amplitude of cross-section of process are spent.
KEY WORDS: gauge invariance, coupled systems, amplitude, covariance.
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SEMIGROUPS OF SUPERMATRICES AND ONE-PARAMETER IDEMPOTENT SUPEROPERATORS

S.A. Duplij

Abstract
Supermatrix semigroups and their different reductions are introduced and investigated. One-parameter semigroups of antitriangle idempotent supermatrices and corresponding superoperator semigroups are defined and their features are studied. It is shown that t-linear idempotent superoperators and the usual exponential superoperators are mutually dual in some sense. The first one gives an additional (odd) solution (to the standard exponential operator) of the initial Cauchy problem. The corresponding functional equation and an analog of resolvent are found. Differential and functional equations for idempotent (super)operators are derived for their general t power-type dependence.
KEY WORDS: supermatrix, reduction, one-parameter semigroup, idempotent, Cauchy problem, resolvent.
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SUPERSYMMETRY, NONTRIVIAL FERMIONIC SHELL AND NILPOTENT MECHANICS

S.A. Duplij, A. Frydryszak

Abstract
A need of the introduction of nilpotent even variables to the consistent classical supersymmetric theory is justyfied on the example of simple supersymmetric system. It is claimed that any classical supersymmetric theory on fermionic shell is equivalent to the corresponding nilpotent mechanics.
KEY WORDS: supermechanics, dual number, nilpotence, fermionic shell, Legendre transformation, Poisson bracket.
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TO HYDRODYNAMICS OF UNIAXIAL NEMATICS WITH CONFORMATION DEGREES OF FREEDOM

M.Y. Kovalevsky, A.L. Shishkin

Abstract
On the basis of the Hamiltonian approach dynamics of uniaxial nematics surveyed and the deduction of the nonlinear equations of ideal hydrodynamics, taking into account the shape, (disk-shaped and rod- shaped of a molecule) and conformation degree of freedom is given. The densities of additive integrals of motion and fluxes relevant to them, are represented in the terms of a thermodynamic potential. The spectra of linear oscillations in these liquid crystals surveyed. Two branches of ultrasonic oscillations are found and the character of an anisotropy of both velocities of sounds is found out.
KEY WORDS: a nematic, conformation, hydrodynamics, spectrums, second sound, anisotropy.
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TO THE THEORY OF BREMSSTRAHLUNG FROM RELATIVISTIC ELECTRONS AT ARBITRARY MOMENTUM TRANSFERS TO THE EXTERNAL FIELD

N.V. Bondarenko, N.F. Shul'ga

Abstract
For the problem of single bremsstrahlung of relativistic electrons in arbitrary external field a solution is obtained, which is valid at arbitrary scattering angles. The found formula includes the bremsstrahlung cross-section factorization limit and the case of scattering angles much less then radiation ones (dipole approximation).
KEY WORDS: electron bremsstrahlung, eikonal approximation, arbitrary momentum transfer.
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IMPLEMENTATION OF A GENETIC ALGORITHM FOR ANALYZING SPECTRA OF QUANTUM SYSTEMS

V.Yu. Korda

Abstract
Genetic algorithm is applied to the problem of automatic spectral analysis of quantum systems. The negative pressure selection method is proposed for the efficient exploration of many local optima in parallel. The developed software is able to find the minimum set of energy levels which corresponds to the set of spectrum lines analyzed.
KEY WORDS: energy levels, spectrum lines, genetic algorithm.
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ON THE THEORY OF THE TRANSITION SCATTERING

V.N. Bolotov, T.Y. Guralnik

Abstract
For the construction of fractal electrodynamics theory new distribution has introduced. The design of this distribution is founded on the structure of the Cantor set. The basic features of this Cantor distribution are discussed. For example, the transition scattering theory of the permittivity dissipative burst is considered.
KEY WORDS: fractal, antor set, distributions, transition scattering.
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ELECTROMAGNETIC AND GRAVITATION FIELDS INFLUENCE ON THE PHASE STRUCTURE OF THE d-DIMENSIONAL NUMBU-JONA-LASINIO MODEL

Yu.I. Shil'nov, V.V. Chytov

Abstract
dynamical chiral symmetry breaking in the Numbu-Jona-Lasinio model is considered in a d-dimensional space-time with a presence of external electromagnetic and gravitation fields. An effective potential of the composite bifermionic fields is obtained in the linear on the space-time curvature approximation. The electromagnetic field is treated exactly in the frame of a proper-time formalism. Phase transitions induced by the electromagnetic strength and the space-time curvature are studied. The phase diagram is obtained.
KEY WORDS: symmetry breaking, effective potential, phase transitions, curved space-time, curvature, electromagnetic field.
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LATTICE DYNAMICS AND HEAT CAPACITY OF ANISOTROPIC YBCO HIGH-TEMPERATURE SUPERCONDUCTORS

I.N. Kudryavtsev

Abstract
Theoretical model for calculation of the thermodynamic functions of layered HTS-cuprates is proposed, with accounting for the main peculiarities of the lattice dynamics: the presence of the high-frequent optical modes, the dependence of phonon density of states (PDOS) on the oxygen content, the phonon dispersion and anisotropic character of phonon spectrum. The generalized PDOS G(w) is introduced as a combination of partial PDOS gi(w) for each of three main crystallographic directions (i = a,b,c). The dispersion law for the Cu-O linear chain vibrations is used for determination of the functions gi(w) and the characteristic frequencies of phonon spectrum is chosen from the data on optical and neutron spectroscopy. The constructed thus PDOS G(w) does not contain any fitting parameters and allows us to calculate the phonon energy, heat capacity, entropy and other thermodynamic functions of HTS-cuprates. The single-valued electronic contribution to the heat capacity is determined in the superconducting transition region.
KEY WORDS: high-temperature superconductors, lattice dynamics, dispersion law, acoustic and optical phonons, phonon density of states, heat capacity, electronic subsystem.
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MANDELSTAM-BRILLUOIN SCATTERING FROM THE SECONDARY WAVES IN GAS OF QUASI-PARTICLES

 V.F. Aleksin , V.D. Khodusov

Abstract
Mandelstam-Brilluoin scattering from the secondary waves in gas of quasi-particles which leads to formation of a doublet of scattered light, are considered. The intensity of scattered light from the secondary waves in doublet has been calculated. It is the experimental observation of this doublet that will be evidence of existence of the secondary waves in gas of quasi-particles.
KEY WORDS: spectral density correlator, fluctuations, Mandelstam-Brilluoin scattering, secondary waves, quasi-particles, phonon.
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OPTICAL DIAGNOSTYCS OF COLLECTOR PLASMA

A.M. Egorov, V.F. Klepikov, A.G. Ponomarev, A.G. Tolstolutskiy, V.V. Uvarov, V.T. Uvarov

Abstract
Dynamics of formation and spreading of gas-plasma torch, appearing when tubular REB interacts with solid target, is investigated with optical diagnostic methods. Shock waves fronts and, as a result of their convergence, GPT focus forming are detected. Some beam characteristics (azimuthal rotation and geometric size) are measured also.
KEY WORDS: relativistic electron beams, gas-plasma torch, shock waves.
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SHEAR EXCITATIONS OF VISCOELASTIC ENVIRONMENTS GENERATED BY ULTRASOUND

E.A. Barannik, S.A. Girnyk, V.V. Tovstyak, A.I. Marusenko

Abstract
Numerical values of distribution of the module of elasticity in tissues may be restored by results of measurements of local fields of pressure and the displacement arising under influence of external force. In the given work, with use ultrasonic Doppler method of a location dynamics of a relaxation remotely induced excitation in elastic tissues that is the basis of SWEI - a method of imaging of elastic properties of tissues is investigated. Dependences of amplitudes of local displacement of environment on duration of influence of a pulse of radiating force and dynamics of attenuation of spreading shear waves are received. The received values of amplitudes of displacement of environments in the tissue phantoms for the used value of intensity and duration of stimulating pulses are in good enough conformity with available theoretical estimations. The measured values of displacement are in a range from 1 up to 20 micron. The received data allow to assume of significant clinical potential of method SWEI - diagnostics, giving the new qualitative contribution to the standard ultrasonic imaging.
KEY WORDS: SWEI - method, viscoelastic environments, shear exitation, Doppler, radiation force.
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THE FEATURES F CONVERSION OF CRYSTAL STRUCTURES UNDER PHASE TRANSFORMATIONS

V.G. Kirichenko, V.M. Kuklin

Abstract
The results of the analysis of some characteristic processes of crystal structures conversion under phase transformations of the 1-st kind are presented. On the base of the developed model the features of the collective processes formed large-scale regular structures under polymorphyc transformations are carried.
KEY WORDS: crystal, symmetry, electron density, regular structures, multycomponent systems, collective processes.
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STUCTURAL AND PHASE TRANSFORMATIONS AND RADIATION HEREDITY IN ALLOY AL-0,1%Fe UNDER ELECTRON IRRADIATION

Yu.I. Gofman, A.I. Kirdin, T.A. Kovalenko

Abstract
The initial stage of structural and phase transformations in Al-0,1%Fe alloy under relativistic electron irradiation was investigated. Dependence minimum of specific electrical resistance heat-treated alloy on electron fluence was discovered. It was connected with dinamic of new phase isolation under irradiation. Measuring data of grain size and microhardness after recrystallization annealing indicate on radiation heredity effect in alloy under electron irradiation.
KEY WORDS: alloy Al-0,1%Fe, electron irradiation, structural and phase transformations, initial stage, radiation heredity.
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TENSILE AND DIFFUSION PROPERTIES OF LAMELLAR EUTECTIC COMPOSITION Ni-Ni3B

V.E. Semenenko, G.P. Kovtun

Abstract
In this paper tensile and diffusion properties of directionally solidification of lamellar eutectic composition Ni-Ni3B with high of volume boride phase are reporting. Possible mechanisms of plastification that experimentally were determined and their role in crea-tion of in situ composition with high remove physico-mechanical properties were described.
KEY WORDS: composites, eutectic, lamellar microstructure, directional solidification, diffusion, microhardness.
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INFLUENCE OF PLASTIC DEFORMATION MICRO AND MESO LEVELS ON RADIATION MATERIALS EMBRITTLEMENT

V.N. Voevodin, L.S. Ozhigov, A.A. Parkhomenko, N.V. Kamyshanchenko, V.V. Krasil'nikov, V.V. Sirota

Abstract
In synergetic approach, the model is considered to describe plastic deformation by evolution of dislocation ensembles. The general kinetic equation for a dislocation density is obtained, taking into account the nonzero collision integral related with micro- levels of plastic deformation. It is shown by the numerical analyze that the formation of localized structures is suppressed in the presence of the nonzero collision integral (³ 10-3). These results correspond to the experimental data obtained on the irradiated deformed materials.
KEY WORDS: synergetic approach, deformation, dislocations, irradiated materials, embrittlement.
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RESEARCH OF 184Re, 186Re 188Re PRODUCTION ON ELECTRON LINEAR ACCELERATORS OF NSC KIPT

A.N. Dovbnya, N.P. Dikiy, A.S. Zadvorniy, A.V. Torgovkin, B.I. Shramenko

Abstract
The method of measurements is described and the results of defining spesific activity of radionuclides 184Re, 186Re and 188Re are presented. The natural Re target was irradiated by gamma-quanta and neutrons on the linear electron accelerators NSC KIPT. The brobability level of note above radionuclides production is predicted.
KEY WORDS: linear accelerators, electrons, gamma-quanta, radionuclides.
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SIMULATION OF THE ELECTROPHYSICAL MODIFICATION OF MATERIALS FOR THE SYSTEMS WHICH SOUND OUT THE IONOSPHERE

M.I. Bazaleyev, Yu.A. Berezhnoy, V.F. Klepikov, R.I. Kuznetsova, V.V. Lytvynenko

Abstract
The necessity of manufacturing a special materials for the systems which sound out ionosphere is motivated. The metallopolymer compounds which are modified by the electron beam are proposed to be used. The main processes which take place in these materials when their properties are modified are considered. The model which accounts for these processes is proposed.
KEY WORDS: ionosphere station, electrophysical technologies, compound materials.
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THE TECHNOLOGICAL CONTROL SYSTEM OF THE ION-BEAM ASSISTED DEPOSITION PLANT FOR COVERING DEPOSITION & MATERIAL SYNTHESIS

A.G. Guglya, Yu. A. Marchenko, M.Yu. Silkin, S.N. Styervoyedov

Abstract
The technological control system of the ion-beam assisted deposition plant for covering deposition & material synthesis are described. The scheme of the plant which includes the gaseous ion accelerator-implanter with the Penning ion source, the electron-beam evaporators, the specimen change mechanism, the devices of the target temperature stabilization, monitoring, evaporation and bombarding rate control is presented. The schematic diagram of the measuring channels designed on the basis of the microchip AT89C51 is described.
KEY WORDS: technological control system, ion-beam assisted deposition, microprocessor, implantation dose, analog-to-digital converter, current density, Faradey cup.
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THERMODYNAMIC PROCESSES IN THE IRRADIATED SOLID-STATE OBJECTS SUBJECTED PRELIMINARY TERMOFILD EFFECT

N.M. Pelykhatiy, N.I. Kovalenko, T.C. Plahtiy, A.K. Ghnap

Abstract
The results of idealized consideration of thermodynamic processes in integral silicon patterns of a mean scale of integrationpreviously subjected to effect thermal both electrical fields and high energy fragments, irradiated with flows are adduced.
KEY WORDS: microelectronics, integrated circuits, energy, termoelectrotraning.
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