SPINNING PARTICLE AND DUFFIN-KEMMER-PETIAU EQUATION

V.G. Zyma, J. Valverde

Abstract
It is investigated a possibility of obtaining the Duffin-Kemmer-Petiau equation in pseudoclassical mechanics. The action is constructed and Hamiltonian formalism is developed. Dirac quantization of the model is carried out. It is shown that the specification of symmetry properties with respect to the permutation of multipliers in the Green anzatz expression allows obtaining, as a result of quantization of a spinning particle, wave function subordinated to some generalization of the Duffin-Kemmer-Petiau equation

KEY WORDS: Duffin-Kemmer-Petiau equation, spinning particle, Bargman-Wigner formalism, Green anzatz.

QUASIDETERMINANTS, NONCOMMUTATIVE DETERMINANTS AND NONINVERTIBLE SUPERMATRIX STRUCTURES

S.A. Duplij, O.I. Kotulska

Abstract
The general theory of quasideterminant is presented. The notion of quasideterminant is defined for matrices over free skew fields, its properties are described. The noncommutative determinants are considered as product of quasiminors. Examples of most well-known noncommutative determinants are given. Generalization of quasideterminant on noninvertible case is introduced.

KEY WORDS: determinant, skew field quasideterminant, nonivertibility, semigroup, general inverses, regularity.

ABOUT THE LINE WIDTH OF THE PARAMETRIC X-RAY RELATIVISTIC ELECTRONS RADIATION IN A CRYSTAL

N.F. Shul’ga, M. Tabrizi

Abstract
A theory of the line width of the "backward" parametric X-ray relativistic electrons radiations in a crystal based on the functional integration method is suggested. The calculation procedure of the functional integration in above theory is described in detail. Some primary cases when multiple scattering makes the main contribution to the line width formation of parametric X-ray radiation are considered.

KEY WORDS: parametric X-ray radiation, relativistic electrons multiple scattering, functional integration.

BITWISTOR FORMULATION OF MASSIVE SPINNING PARTICLE

S. Fedoruk, V.G. Zima

Abstract
Twistor formulation of massive arbitrary spin particle has been constructed. Twistor space of such particle is formed two twistors and two complex scalars which form together 'bosonic supertwistor'. The formulation is deduced from space-time one for spinning particle by means of introducing auxiliary harmonic variables and consequent partial fixing of gauges. It is carried out the canonical quantization of twistor massive particle with nonzero spin. It is found the eigenvalues of Casimir operators on particle states and harmonic expansion of wave function in spectrum.

KEY WORDS: twistors; spinning particle, harmonic variables.

PROPERTIES OF HIGH-SPIN BOSON INTERACTION CURRENTS

Yu.V. Kulish, E.V. Rybachuk

Abstract
The problem of power divergences in theory of high-spin boson (J = l > 0) interactions is investigated. The conventional approaches have two sources of the power divergences: 1) the factors like to P_mP_n / M ² in the propagators of the high-spin bosons (P_m and M are the momentum and the mass of the high-spin boson, respectively); 2) the products of the P_m and some constants in the components of the interaction current  j_m1…ml. It is shown that in consistent theory the interaction current  j_m1…ml must be conserved and traceless. Therefore the contributions of the factors of P_mP_n / M ² - type to the high-spin boson propagators must vanish. As the equations for the high-spin boson interactions are the system of heterogeneous differential equations, the field and current tensors must have the continuous partial derivatives of (2l+3) and (2l+1), respectively. In result, the current components must include the form factors, which provide the decreasing of these components at least as |P_m | ^{- (2l+1)} with |P_m | ®  ¥.

KEY WORDS: high spin, bosons, divergences, differential equation.

ABOUT RESONANT INTERACTIONS IN THE KINETIC THEORY OF PROPAGATION OF WAVES AND COHERENT MICROBEAMS IN PLASMA

A.A.Vodyanitskii

Abstract
In the paper the kinetic theory of propagation and interaction of electromagnetic (EM) waves and modulated micro beams (MMB) in plasma in a non-uniform magnetic field is developed. EM waves will not penetrate through areas of opacity of plasma (wave barriers). MMB transfer wave motion to such areas and in con-ditions of their phase coherence recreate non-local macroscopical currents behind wave barriers. Non- local currents in conditions of resonant interaction with own EM fields radiate EM waves. Non-local transfer of a field and resonant conditions of radiation of EM wave behind a plasma wave barrier are investigated. Expressions for fields behind a wave barrier as in resonant, and not resonant cases are found.

KEY WORDS: plasma wave barriers, collective damping of waves, phase coherence, the modulated microbeams, resonances.

PARTICLE ORBITS FORCED TRANSITION IN THE MODULATED MAGNETIC FIELD

A.Yu. Antufyev, A.A. Shishkin

Abstract
Detrapping / retrapping processes of the charged particles under the action of the alternating parallel electric field are studied analytically and by the numerical integration of the guiding center equations in two types of magnetic configurations. The effect of alternating electric field on the particle detrapping in such two kinds of magnetic field modulation is considered with the use of different wave numbers of the one mode alternating electric field in so-called s magnetic field model. It is shown that the process of particle transition from the trapped into the passing one takes place in all considered cases.

KEY WORDS: stellarator, magnetic field modulation, AC electric field, transition of particles.

THE STRUCTURAL EFFECTS UNDER Hp - SCATTERING

V.K. Tartakovsky, A.V. Fursayev, O.I. Ivanova

Abstract
The elastic scattering of hypertritons by protons was described in diffraction approximation. The amplitude corresponding to threecluster model of hypertritons takes in account multiscattering. The cross-sections calculated with the Hulten's wave functions significantly depend on binding energy of hypertritons. This can by used for choosing the method of it's experimental more precise definition. The assumptions on parameters of LN - interaction were analyzed. The non-adecuacy of twocluster model of hypertriton was noted.

KEY WORDS: hypertriton, diffraction approximation, cluster, binding energy, formfactor, proton, amplitude.

STABILITY OF MAGNETOPLASMA SURFACE WAVES AT 'PLASMA - METAL' INTERFACE

N.A. Azarenkov, Yu.A. Akimov, V.P. Olefir

Abstract
The stability of high-frequency potential surface waves at 'plasma - metal' interface relatively low-frequency modulation of plasma density is considered in this paper. The external steady magnetic field is directed perpendicularly to the interface. The process of interaction of surface wave, satellites and low-frequency modulation is considered. It is shown the low-frequency perturbation is forced and can lead to the attenuation of high-frequency surface wave. The numerical analysis of the nonlinear equations system for amplitudes of wave and satellites is carried out. It is shown that within the framework of weak interaction approach the considered waves are stable relatively low-frequency of density of plasma.

KEY WORDS: surface waves, stability, satellites, nonlinear attenuation.

INFLUENCE OF MULTIPACTORING DISCHARGES ON STABILITY OF INCREASE AUTOGENERATING ACCELERATING FIELDS IN THE SINGLE-RESONATOR ION LINEAR ACCELERATOR

L.D. Lobzov, P.A. Demchenko, N.G. Shulika, L.N. Makarova, A.V. Ovchinnikov

Abstract
The paper presents the results of experimental studies on the stability of increase of pulsed radio-frequency (RF) fields in the multigap resonator of the ion linear accelerator being excited in different autogenerator modes. It is shown that at low strengthes of the RF fields, excited in the accelerating structure of the H-type resonator, the secondary-electron resonance discharge (multipactoring) is the main mechanism of disturbing of accelerating field excitation in the autogenerator mode. This type of vacuum RF discharge can develop both between drift tube of accelerating structure and on its different elements, when the determine relations are established between the on electrode voltage, the distance between electrodes, frequency of RF fields and the secondary electron emission coefficient of electrode material. For single-resonator accelerator with a many accelerating gaps, which have different length and electrode area, the initial conditions of the multipactoring can be realized in a wide range of RF fields strengthes. For relatively long time of field amplitude increase, which are defined by the high resonator Q-factor, the secondary electron emission may transform in discharge with a high current. In this case the equivalent parameters of the resonator, namely, operation frequency, field distribution along acceleration structure, shunt impedance are changing considerably. That results in disturbing autogenerator work of system power suply. The scheme decisions have been found, and a mechanism discribed the which provides a stable work of the autogenerator system of RF power supply for calculated mode of ion accelerating.

KEY WORDS: single-resonator ion linear accelerator, stability of increase RF fields, accelerating gap, electron emission, multipacting discharge, RF sparking.

THE CHANGING OF THE PHASE BUNCHING MECHANISM IN CYCLOTRON BEAM INSTABILITIES

G.I. Zaginaylov, V.M. Kuklin, I.P. Panchenko, K. Schunemann

Abstract
On basis of the nonlinear equations integrals analysis the qualitative changes of the mechanisms of the electron beam instability phase bunching by the action of RF fields of TE electromagnetic wave in external magnetic field are discussed. For low wave (in comparison with velocity of light in vacuum) excitation the phase bunching is result of beam electrons motion in RF fields of TE wave (named also as Weibel interaction), but for fast wave excitation processes phase bunching produced by negative mass instability (named as CRM interaction). The exact criteria of the changing of the phase bunching mechanism in cyclotron beam instabilities is the main result of that message. The electron bunches produced by RF field in phase plane form the vortices, which changing sigh of rotation.

KEY WORDS: electromagnetic waves, electron beam, integrals of system of nonlinear equations, phase bunching mechanism, mechanisms of instability saturation.

HIGH-CURRENT ELECTRON BEAM CONVERGENCE SCHEMES

A.V. Chornyi, V.V. Chornyi

Abstract
Some schemes for convergence of several high-current electron beams into one beam have been proposed and analyzed numerically. The schemes are proposed for the case when beyond-cutoff electron beams (for vacuum conditions) are transported in a rarefied background gas by means of gradient drift in an azimuthal magnetic field. The proposed schemes provide several-beam convergence into one beam without considerable electron loss at high compensation of the beam self- fields.

KEY WORDS: electron gradient drift, Alfwen limit, azimuthal magnetic field, beam self- fields.

APPLICATION OF NUCLEAR MICROANALYSIS METHODS FOR INVESTIGATION OF THIN CrN FILMS FORMED ON SUBSTRATES BY ION BEAM ASSISTED DEPOSITION

V.N. Bondarenko, A.V. Goncharov, A.G. Guglya, I.M. Karnaukhov, I.G. Marchenko, V.M.  Pystryak, V.I. Sukhostavets

Abstract
CrN films formed on substrates by ion beam assisted deposition were studied. Film thickness and nitrogen content in standard samples were measured by Rutherford backscattering of He ions. Nitrogen depth distribution in films and contiguous layers of substrates were determined by ¹⁵N(p,ag)¹²C resonant nuclear reaction. It has been shown that such control can be effective not only for substrates of high atomic number (Ta) but for Al substrates caused high level g-ray background of Compton scattering of hard gamma-rays from ²⁷Al(p,g)²⁸Si reaction.

KEY WORDS: CrN, thin films, ¹⁵N(p,ag)¹²C nuclear reaction, Rutherford backscattering, depth profiles.

THE INFLUENCE OF GAMMA-IRRADIATION ON THE STRUCTURE OF HIGH-TEMPERATURE SUPERCONDUCTORS YBa₂Cu₃O_7-x WITH ⁵⁷Fe ADMIXTURE

K.G. Bozoyan, V.G. Kirichenko, T.A. Kovalenko

Abstract
By using X-ray analysis and Conversion Electron Mossbauer Spectroscopy the investigation of structure and phase composition of surface layers of high temperature superconductors on base of YBa₂Cu₃O_7-x with ⁵⁷Fe admixture is carried. Compositional and structural heterogenity of surface layers in thin films depends on by oxigen atoms redistribution and oxigen impoverishment surface of high temperature superconductors. The massive and film high temperature superconductors were obtained by impulsive laser precipitation method. As a result of degradation properties research of this specimens considerable changes of electron density on nuclei ⁵⁷Fe under reversible transformation rhombic (superconducting phase) to tetragonal (nonsuperconducting phase) were discovered. Gamma-irradiation leads to degradation of electron and structure properties of high temperature superconductors too.

KEY WORDS: high temperature superconductors, structure, electron density.

EROSION RESISTANCE COATINGS BASE ON THE TiN, PRODUCED BY MODIFICATION OF VACUUM ARC DEPOSITION

V.T. Tolok, A.A. Romanov, V.I. Farenik, V.A. Zavaleyev, I.M. Neklyudov, V.V. Kunchenko, Y.V. Kunchenko

Abstract
It is shown that monolayer monoplane (TiN_x) columnar structures and micro layer composites TiN_x - Ti with different setting rations of layers thickness can be produced on dependence of parameters impulse high energy Ti ions (E_i » 2¸3 кeV) bombardment in process of vacuum-arc deposition (condensation with low-temperature - CILT method). Regularity of changing the produced coatings erosion resistance depending on their structure was determined. Possibility to produce coatings on the base of micro layer composition TiN_x - Ti ensuring multiple (up 100 times) to increase coefficient of erosion resistance compared with not coated BT-8 alloy was shown. Complex method of cavitations erosion coating express test in water-sand suspension was developed.

KEY WORDS: vacuum-arc, impulse high energy deposition, multiple TiN-Ti coatings erosion and cavitations resistance.

DISPERSION OF EUTECTIC CEMENTED CARBIDE COMPOSITE MATERIALS WC - CO

V.O. Chishkala, S.V. Lytovchenko, T.S. Maslova, S.I. Ogiyenko

Abstract
A possibility of eutectic hard alloy and scrap (composition WC - Co) processing in fine dispersed powder is investigated. Engineering parameter boundaries of working of this substance are obtained not by chemical dissolving, but by physical and metallurgical techniques. A scheme including a saturation of composite by zinc and its distillation in vacuum is realised. A composition constancy and absence of impurities is fixed by a chemical analysis of obtained powder. A experimented consignment of cemented carbide powder is obtained. A material reusability to obtain cemented carbides products after dispersion is shown.

KEY WORDS: cemented carbides, composite material, powder metallurgy, microstructure, grain size, structural - phase transformation.

DISTRIBUTION OF INTENSITY OF GAMMA - QUANTUMS INSIDE THE CONTAINER WITH RADIOACTIVE WASTE

S.A. Kalenik, V.V. Kirichenko

Abstract
In paper are received the spectra and angular distributions of an output photons, received on linear accelerators with use various converters for the purposes of diagnostics of fissionable materials in radioactive waste. The parameters of the converter for reception of the most powerful photon beams are optimized. The received thus photon spectrum were directed on the container with radioactive waste and the distribution of photon intensity inside the container is investigated. All works were carried out by a method of simulation, using developed in CERN a package of modeling GEANT 3.21.

KEY WORDS: fissionable materials, radioactive waste, diagnostics, simulation, converting.

INFLUNCE OF IMPURITIES AND ISOTOPES ON PROPAGATION OF THE SECOND SOUND WAVES IN SOLIDS

N.R. Belyaev, V.D. Khodusov

Abstract
Influence of impurities and isotopes on propagation of the second sound waves in solids is investigated. Characteristic concentrations of impurities and isotopes, when they not affect, were found. High limit of concentrations of isotopes in LiF crystals, when experimental registration of the second sound waves is possible, were presented.

KEY WORDS: phonon, reduced isotropic crystal, second sound, isotopes, impurities, damping coefficient.

THE INVESTIGATIONS OF QUARTZ GLASS PROPERTIES BY IONOLUMINESCENCE METHOD

R.D. Berezov, O.V. Kalantaryan, S.I. Kononenko, V.I. Filippenko

Abstract
Experimental studies of the quartz luminescence during of high-energy hydrogen ions bombardment are presented. The influence of observation angles and absorption dose in the sample on shape of light-spectrum was studied. It was shown that irradiation process of quartz brought into shape changes of optical spectra. These changes in the spectra were due to accumulation of defects and interaction of implanted hydrogen with ones. It was shown the possibility of application of these results for distant monitoring of dose that quartz accumulated.

KEY WORDS: quartz glass, hydrogen, ionoluminescence, exciton, Е'- centers, nonbridge atom of oxygen.