COVARIANT FACTORIZATION METHOD IN INELASTIC PROCESSES ELECTRODISINTEGRATION OF A DEUTERON

I.K. Kirichenko

Abstract
A method of cross section covariant factorization for inelastic processes on relativistic bound systems is suggested. It is shown that the cross sections are totally factorized, all relativistic effects being included. The effective momentum distribution of particles forming the bound system is calculated correctly taking into account off-shell effects and antiparticle contribution. The advantage of the method is exemplified by deuteron exclusive disintegration in the quasielastic region.

KEY WORDS: momentum distribution, factorization cross-sections, electrodisintegration, deuteron.

REFRACTIVE EFFECTS IN QUASIELASTIC NUCLEAR REACTIONS INDUCED BY LIGHT IONS

A.S. Molev

Abstract
Refractive effects in various quasielastic nuclear reactions induced by light ions with energy E ³ 20 MeV/nucleon are analyzed on the basis of approach, which utilizes model representation of the scattering matrix. It is shown that refractive components of differential cross sections for one-nucleon transfer reaction with transition to the ground state of final nuclei and charge-exchange reaction with excitation of isobaric analog state of the ground state of the target nucleus reproduce entirely experimental data in angular range, where rainbow-like humps followed by characteristic exponential decrease are observed.

KEY WORDS: one-nucleon transfer reaction, charge-exchange reaction, scattering matrix, differential cross section, refractive contribution, deformed nucleus.

DETERMINATION OF PARAMETERS OF SCATTERING MATRIX BY A REFINED GENETIC ALGORITHM

V.Yu. Korda, N.A. Shlyakhov

Abstract
The scattering matrix based analysis of the intermediate-energy elastic-scattering of light nuclei by nuclei is automated with the help of a refined genetic algorithm proposed. The developed technique has demonstrated excellent performance in exploration of the highly dimensional, highly non-linear and strongly rugged parameter space of the problem.

KEY WORDS: scattering matrix, intermediate energy, elastic scattering, genetic algorithm.

ON STRUCTURE OF SMOOTH SEMISUPERMANIFOLDS

S.A. Duplij, M.V. Chursin

Abstract
Possibilities of noninvertible generalization of the Rogers modelled supermanifold are considered. It is shown, that a special reduction of the model does not lead to the Rogers supermanifold, nevertheless after some mapping it comes to the invertible supermanifold. Noninvertible generalization of the Rogers model is investigated, on a semigroup structure is introduced and its ideal properties are studied. That leads to the semisupermanifold in which noninvertibility is a result of many-valued transition functions.

KEY WORDS: supermanifold, mapping, transition function, noninvertibility, semigroup, many-valuedness.

ON HIGHER REGULARITY AND MONOIDAL CATEGORIES

S.A. Duplij, W. Marcinek

Abstract
In general abstract algebraic language we extend "invertibility" to "regularity" for categories. Higher regularity conditions and "semicommutative" diagrams are introduced. Distinction between commutative and "semicommutative" cases is measured by non-zero obstruction proportional to the difference of some self-mappings (obstructors) e⁽ⁿ⁾ from the identity, which allows us to generalize the notion of functor and to "regularize" braidings and related structures in monoidal categories. Also we propose a "noninvertible" analog of the Yang-Baxter equation.

KEY WORDS: morphism, regularity, obstruction, monoidal category, functor, Yang-Baxter equation.

STABILITY OF THE IDEAL SMALL-SCALE MHD MODES IN TOKAMAK WITH RIPPLE MAGNETIC FIELD AND UNMONOTONOUS DISTRIBUTION q

A.Ya. Omel'chenko, E.V. Romashchenko

Abstract
The stability of ideal ballooning modes and Mercier modes in ripple tokamak with unmonotonous profile of the safety factor q have been investigated. It is shown that complicated profiles q with minimum shear in the each region of the instability leads to the simultaneous stabilization of these modes in the different regions of the plasma column. The localization of the zones of instability on radius of the plasma column, the ranges of plasma pressure under which the mentioned modes excite have been obtained.

KEY WORDS: ripple magnetic field, Mercier modes, ideal ballooning modes, safety factor q, shear.

STABILITY OF THE FREE MOTION CHARGE IN THE ELECTROMAGNETIC FIELD OF SUPERCONDUCTIVE COIL

D.V. Popovich, V.M. Rashkovan

Abstract
Consider the stationary motion of one charged particle in the electromagnetic field of superconductive coil. With use of Lyapynov's functions the necessary and the sufficient conditions of stability of this motion for two coordinates were got. On the results of numerical experiments the districts of stable motion in system "charged particle-superconductive coil" were determined for different parameters of system.

KEY WORDS: stability, charged particle, stationary motion, superconductive coil.

BEAM FOCUSING OF CHARGED PARTICLES BY SUPERCONDUCTIVE MAGNETIC CURCUITS

V.M. Rashkovan, A.V. Marchuk, A.V. Sinchenko

Abstract
The problem of charged particles focusing by superconductive circuits is submitted and a detailed vector potential of circuit field investigates at moving charged particles presence taking into account their interaction. Studying magnetic induction vector field of closed system at moved particles is executed. The approximate expression for focusing distance of the magnetic lens is obtained considering energy recuperation at superconductive circuits-charged particles flow.

KEY WORDS: superconducting circuit, focus distance, vector potential, magnetic field.

PRECESSION OF ONE-DIMENSIONAL ORBIT IN THE CENTRAL FIELD

I.S. Petrenko-Starkov

Abstract
It is shown that the motion of a particle in the central field (Kepler's problem) is the superposition of two motions, that of the one- dimensional motion along the radius vector with potential velosity due to central and centrifugal forces and the angular motion (of rotation) with vortex velocity due to Coriolis force.

KEY WORDS: particle moves in the central field, the concept of possible velocity field, nonstationary precession.

ABOUT ONE CLASS OF THE STATIC STABLE EQUILIBRIUM MAGNETIC SYSTEM

S.S. Zub

Abstract
Expression of magnetic potential energy which was got in the previous works brought to the form that allow to formulate a general method of search and investigations the equilibrium in the systems which consisted from superconductive coils and permanent magnets. Necessary and sufficient conditions of equilibrium existence were turned to the decision of the system of ties on the generalised coordinates of the "levitation" body. That allowed determining the number of the superconductive elements to find the isolated equilibrium points. In the important case of the dipole approximation for the mutual inductance of the elements the isolated equilibrium points, coordinates of which differentially depend on parameters of magnetic system, were found numerically. This proves stable equilibrium on parameters of magnetic system and gives the preconditions for the magnetic equilibrium configurations control.

KEY WORDS: superconductivity, static stable equilibrium of the magnetic systems, magnetic potential well.

ACOUSTIC TOMOGRAPHY OF THE NONLINEARITY PARAMETER AND NONLINEAR WAVE

E.A. Barannik

Abstract
The characteristics of sum and difference frequency acoustic fields generated by nonlinear interaction of two waves are discussed. The angle parameters of scattered fields and its amplitudes are shown for focused wave beams and application of different waves for acoustic tomography of the nonlinearity parameter is investigated.

KEY WORDS: tomography, parameter of nonlinearity, acoustics, sum and difference frequency waves, nonlinear scattering.

ANALYTICAL TREATMENT OF THE CHAOTIC BEHAVIOUR OF THE DETERMINISTIC PSEUDOLINEAR MAP

V.P. Demutskii, R.V. Polovin , V.M. Rashkovan

Abstract
It was received the rate of chaotization for pseudolinear mapping. It was shown that the rate of chaotization is proportional to the dimension of the phase space and maximal Lyapunov exponent. It was shown also that the problem of the rate of chaotization is not correct and must be regularized.

KEY WORDS: chaotic behaviour, decay of correlation, regularization.

METHODS OF SIMULATION OF NPP ACCIDENT RADIATION FIELDS.
2. POSSIBILITIES OF BREMSSTRAHLUNG SPECTRA BUILDING

A.V. Lisitsky, S.A. Pismenesky, V.G. Rudychev

Abstract
In the present paper methods of simulation of g-spectra typical for accident conditions of nuclear-power objects are discussed. Recreation of the radiation is important problem in investigating its effect to equipment, personnel of the objects, as well as in designing and testing shield constructions etc. A possibility of simulation of accident g-radiation spectra for some accident scenario on NPP with VVER-1000 by means of electron accelerator has been investigated. Possibilities of simulation of given spectrum g-radiation by variation of bremsstrahlung generation conditions have been shown.

KEY WORDS: simulation methods, accidental radiation, nuclides, converter, bremsstrahlung, electron accelerator.

THE EVOLUTION OF CATHODE SURFACE IN GLOW GAS DISCHARGE

S.S. Alimov, V.V. Bobkov, Vl.V. Bobkov, Yu.V. Slyusarenko, R.I. Starovoytov

Abstract
The model is proposed for the experimentally observed process of the cone microbulges growth on the cathode surface in glow gas discharge. It takes into account the most important physical phenomena that accompany modification of the cathode surface in glow discharge. Diffusion processes of the cathode were not considered. We think they were suppressed by the experimental conditions. Within the framework of the model analytic solution of the equation that describes a dynamic of surface profile evolution is obtained. From the analysis of this solution the evolution of the cone microbulges on cathode surface of a metal in glow discharge is described.

KEY WORDS: surface modification, gas discharge and microbulges.

DEVELOPMENT OF AN ETALON OF UNIVERSAL DOSIMETRIC QUAUNTITY DEING INVARIANT WITH RESPECT TO THE ENERGY DENSITY OF RADIATION FLUX

M.I. Bazaleyev, I.G.Evseev, V.F. Klepikov, V.V. Lytvynenko

Abstract
In the paper, the necessity of introduction of a universal dosimetric quantity which would characterize the values of the absorbed dose and energy density of radiation flux is substantiated. Advantages of using such a quantity in investigations of radiation physics and in practical applications are shown. A construction of an etalon for measuring this quantity is proposed.

KEY WORDS: absorbed dose, dosimetry, etalon, detector.