QUANTUM FIELD DESCRIPTION OF THE MANY-PARTICLE FERMI-SYSTEMS WITH BROKEN SYMMETRIES

Yu. M. Poluektov

Abstract
The quantum field approach to research of the many-particle fermi-systems which are taking place at finite temperature in states with spontaneously broken symmetries is formulated. As initial approximation of the self-consistent field generalized model allowing to describe possible for the given system of a states (including the spatio-inhomogeneous states) with various symmetries is chosen. The perturbation theory is advanced and the diagram technique for Green functions determined through the field operators, the quasiparticles operators and operators of particles is constructed. The Dayson equation that self-energy function connected with vertex function is obtained.

KEY WORDS: the self-consistent field, spontaneously broken symmetry, quasiaverage, temperature Green function , normal product of the operators.

THE MOTION OF THE NUCLEON-SPECTATOR AND THE MAGNETIC DEUTERON FORM FACTOR

S.V. Trubnikov, V.D. Afanas'ev, V.I. Botsman

Abstract
We present afresh the derivation of the formula for the deuteron magnetic form factor (DMFF) G_Md(Q²). In this connection relativistic corrections of the first order to (v/c)² (due to the motion of nucleon-spectator) to DMFF are recalculated in the framework of Gourdin's formalism. We show that the exact formula for G_Md(Q²) contains the new additional term in comparison with the standard one. The results of numerical calculations are presented for the Paris deuteron's wave function.

KEY WORDS: deuteron, magnetic structure, form factor, nucleon-spectator, relativistic corrections.

DELTA TRANSFER CONTRIBUTION TO THE ₇Li(р,p^-)⁸B REACTION AT Т_P=200 MEV

К.Ph. Ustimenkov, I.D. Fedorets, I.I. Zalubovsky, N.S. Lutsaj

Abstract
Detailed formulae are given for the one-nucleon mechanism contribution to the (р,p^-) reaction.The calculations including one-and two-nucleon mechanism contribution to the ₇Li(р,p^-)⁸B^* (1⁺, 0.78 MeV) reaction are compared with experimental observables. Allowance for the delta isobar transfer is found to improve description of the experimental angular distributions of cross sections and analyzing powers for this reaction in comparison with the single two-nucleon treatment. The sensitivity of the method to the variation of some parameters of optical model potentials in the proton and pion channels is shown.

KEY WORDS: cross sections, analyzing powers, one-nucleon mechanism, pion, D⁺⁺ isobar.

LOCAL GAUGE INVARIANCE OF GREEN FUNCTIONS AND CONSERVATION OF A FULL ELECTROMAGNETIC NUCLEAR CURRENT

Yu.А. Kasatkin, I.К. Kirichenko

Abstract
Within the framework of local gauge group U (1) and its geometrical interpretations on the basis of "parallel transport" of the field operators the gradient invariance of 2- and 3-dot Green functions is rotined, that in the final accounting allows to enter covariant amplitudes of processes of a photo- and electrodesintegration of compound systems with allowance for of dynamics in no electromagnetic vertex's. Functional derivative from modified 2-dot Green functions on a vector-potential of a calibration field results in originating current vertex's.

KEY WORDS: Green function, gauge invariance, vertex function, local gauge group.

ON REGULAR SUPERALGEBRAS AND OBSTRUCTED CATEGORIES

S.A. Duplij, W. Marcinek

Abstract
Regular and higher n-regular superalgebras generated by purely odd elements are introduced and their properties are investigated. They are described in terms of obstructed categories with invertible and noninvertible morphisms for which regular n-cocycle obstruction structure is defined. The n-regular functors are introduced and corresponding natural transformations are considered. In monoidal categories regular n-cocycle almost bialgebras and Hopf algebras are defined. A 3-cocycle example is given.

KEY WORDS: superalgebra, regularity, category, natural transformation, obstruction, functor.

ON REGULAR SOLUTIONS OF QUANTUM YANG-BAXTER EQUATION AND WEAK HOPF ALGEBRAS

S.A. Duplij, F. Li

Abstract
Generalization of Hopf algebra sl_q(2) by weakening the invertibility of the generator K, i.e. exchanging its invertibility KK^-1 = 1 to the regularity    is studied. Two weak Hopf algebras are introduced: a weak Hopf algebra wsl_q(2) and a J-weak Hopf algebra vsl_q(2) which are investigated in detail. The monoids of group-like elements of wsl_q(2) and vsl_q(2) are regular monoids, which supports the general conjucture on the connection betweek weak Hopf algebras and regular monoids. A quasi-braided weak Hopf algebra    is constructed from wsl_q(2). It is shown that the corresponding quasi-R-matrix is regular   .

KEY WORDS: Hopf algebra, regularity, Yang-Baxter equation, Noetherian ring, group-like element, quasi-R-matrix.

DYNAMICAL CHAOS: ABOUT STABILITY AS TO PERIODICAL MAP

V. P. Demutski, V.M. Rashkovan

Abstract
We investigate the stability of two-dimentional dynamical system in the case of four-step periodical standart map. The conditions of stability were received. We wright the analytical expressions for the bounders of stability regions. It had been shown that the summary region of stability is expanded compared with the case of one-step map, but the number of stable points decreases.

KEY WORDS: chaos, standard map, stability.

THE DETERMINATION OF HYGROGEN OF NUCLEAR PHYSICAL METHODS

N.P. Dikiy

Abstract
Nuclear physical methods are a highly sensitive for determination of content and profile of hydrogen. A resonance and nonresonance nuclear reaction, a methods recoil nucleus by charge particles and neutrons, radiation capture neutrons for determination hydrogen are described in this article. The threshold of detectability hydrogen is 1 - 1000 ppm at and depth resolution is 4 - 800 nm for this methods. The neutrons from reaction ¹¹B(a,n)¹⁴N used for methods of elastic recoil measurement. The elastic recoil protons was detected by CsJ(Tl) spectrometer. The gamma discrimination realized by analysis pulse shape.

KEY WORDS: hydrogen, nuclear reaction, content, detector, converter, elastic recoil measurement, neutrons.

THE NEUTRON RADIATION AT HIGH-TENSION ACTION ON THE DEUTERATED ELECTRODE

A.M. Avilov, S.I. Ivanov

Abstract
In deuterated Ti targets the neutron radiation incipient at the high-tension discharge in an electric field of a vacuum capacitor is registered. Apparent feature is the sharp pinch of intensity of radiation, when the electric fields reach values > 2·10⁶ V/m. In this case character of change of a surface of polished polycrystalline targets specifies that the field emission, prior to the discharge, transfers in explosive with sharp magnification of density of particles in discharge plasma bombarding a target. This transition also is accompanied by sharp magnification of quantity of merging nucleuses of deuterium and as a corollary by growth of intensity of neutron radiation.

KEY WORDS: activation analysis, gamma - spectrometry, neutron converters, nuclear synthesis.

ELECTRON BEAM RF FOCUSSING BY THE FIELD OF NON-SYNCHRONOUS SPATIAL HARMONICS IN TRAVELLING WAVE ACCELERATING STRUCTURE

M.I. Ayzatsky, V.A. Kushnir, V.V. Mitrochenko, A.N. Opanasenko, D.L. Stepin, I.V. Khodak

Abstract
We report results of numerical and experimental researches of the relativistic electron beam focusing by the field of non-synchronous spatial harmonics in the injector travelling wave accelerating structure with -2p/3 phase advance per cell. The dependence of transverse sizes and beam crossover position on the particle injection phase was investigated experimentally and by the computer simulation. The transverse emittance growth as function of the increasing beam current accelerated in different structure types was simulated. It is shown that focusing fields of non-synchronous spatial harmonics in the structure prevents the emittance growth caused by space charge forces.

KEY WORDS: linac, RF gun, electron accelerator, emittance, electron beam, accelerating structure, focusing.

INFLUENCE OF NONSYNCHRONOUS HARMONICS ON LONGITUDINAL MOTION OF PARTICLES IN ACCELERATING HEADWARD WAVE STRUCTURE

M.I. Ayzatsky, V.A. Kushnir, А.N. Оpanasenko

Abstract
The results of theoretical researches of the influence of nonsynchronous spatial harmonics on a capture of particles in acceleration by the synchronous harmonic in an injector headward wave structure are presented. The longitudinal dynamics in the accelerating section of the rf linac - Laser Injector Complex (LIC) (NSC KIPT) was considered. Specifying accelerating field by Floquet form and taking into account the field distribution in the enter and exit couplers, the mathematical model of a longitudinal electron motion was build up. It is shown that the nonsynchronous spatial harmonics of operating mode of the headward wave structure influence considerably on the longitudinal dynamics of charged particles moving near the separatrix in the energy-phase plane. This can reduce the capture factor of the particles. To increase the capture factor it is advisably to reduce the transit angle of the enter coupler.

KEY WORDS: electron rf linac, accelerating structure, electron dynamics.

ENERGY SPECTRUM OF ELECTRON BEAM IN MAGNETRON GUNS WITH SECONDARY-EMISSION COLD CATHODE

M.I. Ayzatsky, A.N. Dovbnya, V.V. Zakutin, N.G. Reshetnyak

Abstract
The report presents the results from studies of electron beam generation in magnetron guns. A secondary-emission multiplication of electrons and beam generation in the experiments were observed. Discussed the energy spectrum of electron beam generation in magnetron gun. Calculation was shown, that space-charge beam change potencial distribution. Experiments was shown, that the energy spectrum of electron beam is 1 … 2 keV.

KEY WORDS: secondary emission, magnetron gun, electron beam, energy spectrum.

FAILURE FORECASTING IN IMPULSIVE LINACS

V.N. Boriskin

Abstract
Most of failures at linear electron accelerators (LEA) are caused by malfunctions in the systems of RF-feeding, modulators and clystrons. And a great part of malfunctions lead to the increased dispersion in amplitudes of output signals of the system. In the paper we consider the algorithms of failure prediction based on some indication functions and the use of these algorithms in the LEA control systems.

KEY WORDS: linear, pulse, electron, accelerator, failure, forecasting.

DIELECTRIC PROPERTIES OF WATER ELECTROLYTE SYSTEMS IN CENTIMETER BAND

A.A. Asheko, V.G. Gordiyenko, A.E. Tenishev

Abstract
Using original experimental bench at the frequency 47.7 Hz in the temperature range from 271 to 353 K researches were made of the temperature dependence of real e' and imaginary e'' component of complex permittivity of distilled water mono- and polyelectrolytes systems. The systematic errors in determination e' and e'' do not exceed 0,5 % and 0,8 % accordingly. The relaxation interaction nature with microwave radiation at the frequency 47.7 GHz all of the objects was found. The radioemission differences of distilled water and water electrolyte systems was calculate.

KEY WORDS: dielectric spectroscopy, complex dielectric permittivity, water, electrolyte.

NEUTRAL GAS TEMPERATURE IN LOW-PRESSURE RF DISCHARGE

V.A. Lisovskiy, S.D. Yakovin, E.V. Myshko, O.V. Krasnikov

Abstract
There was measured neutral gas temperature of a RF capacitive gas discharge in low pressure air, argon, nitrogen and CF₄. It was found that in a certain range of gas pressures a-g transition is accompanied by the decrease of the neutral gas temperature within the total discharge gap. In the a- regime the profiles of the neutral gas temperature have peaks at the discharge center whereas in the g- regime under intermediate gas pressures this quantity is practically constant everywhere (with the exception of narrow electrode layers). Axial profiles of electron temperature in the weak-current regime of rf discharge possess peaks near boundaries of electrode layers whereas in the strong-current regime the electron temperature is practically constant within the total discharge gap.

KEY WORDS: RF capacitive gas discharge, low pressure, thermocouple.

THE RADIATION EMBRITTLEMENT OF THE Zr-Nb ALLOY IRRADIATED BY HIGH-ENERGY (e, g)-BEAMS

V.N. Voevodin, I.M. Neklyudov, L.S. Ozhigov, A.A. Parkhomenko, V.I. Savchenko, A.I. Stukalov

Abstract
High-energy (е, g)-beams were used for simulation and studies of irradiation hardening and embrittlement of four types Zr-2,5%Nb alloy, usually used as the technological channel material of VVER. It is shown that all materials undergo the severe embrittlement at fluences of 0.1 dpa. The value of effect has small dependence on the thermomechanical treatment type, and also on the stress amplitude under irradiation, but have the great dependence on the radiation hardening amplitude.

KEY WORDS: zirconium alloy, irradiation, deformation, radiation hardening, embrittlement.