Issue 2/2009

UDK 539.17
VERIFICATION OF THE NEUTRON KINETICS SOLVER OF THE ARCTUR CODE BY COMPARING NUMERICAL SOLUTIONS TO EXACT ANALYTICAL SOLUTION OF MILNE’S PROBLEM / N. B. Babi-chev, N. V. Kolobyanina, I. V. Lutikov, S. V. Mzhachikh, A. A. Sevastyanov // P. 3

Several formulations of Milne’s Problem for which exact analytical solutions of the kinetic equation exist have been solved using the ARCTUR code. The numerical results have been compared to exact theoretical solutions. Thus, verification of the neutron kinetics solver of the ARCTUR code has been preformed.

UDK 519.68:[519.1+519.6], 51-72:530.145
CLASSICAL AND QUANTUM TWO-DIMENSIONAL MODEL SYSTEMS WITH FIVE-WELL POLYNOMIAL POTENTIAL / A. N. Lukjanenko, N. A. Chekanov // P. 14

The classical and quantum C4v symmetric two-dimensional model systems with five-well polynomial potential are considered. In classical limit the Poincare sections are constructed and the existence of regularity – chaos – regularity transition is discovered. Considered classical system allows the existence of the mixed state, i. e. regular or chaotic classical regimes of the motion coexist in different local minima at fixed energy. For this quantum system by means of the developed symbolic-numeric MAPLE program on the base of self-consistent basis method the lower energy levels are calculated.

UDK 539.172.4
CALCULATIONS OF NEUTRON SCATTERING ON THE EVEN-EVEN DEFORMED NUCLEI / D. A. Zaikin, M. V. Mordovskoy, I. I. Osipchuk // P. 20

We provide a description of the Fortran program developed for simulations in the optical model with coupled channels of elastic and inelastic neutron scattering with excitation of low-lying levels of even-even deformed nuclei. Collective states of nuclei are considered in the rigid axial and non-axial rotator model. The program enables simulations of energy-averaged cross-sections, polarization and differential cross-sections for both elastic and inelastic scattering. Contributions to these quantities by reactions running through the compound nucleus can be calculated using this program with or without accounting for the influence of direct reactions on it. Force functions and potential scattering length are also calculated using this program. As an example, energy-averaged cross-sections of elastic and inelastic neutron scattering on the non-axial nucleus of ¹⁹²Os are simulated and compared with experiment.

UDK 539.1.074
NEUTRON PROPAGATION FROM POINT ANISOTROPIC SOURCE IN INFINIDE HOMOGENEAUS MEDIUM AND ITS IMPACT ON ANISOTROPIC DETECTOR / V. I. Yuferev // P. 36

It was got analytical solution of kinetic equation of neutron transfer for homogeneous infinite medium in multi group approximation for anisotropic source and anisotropic detector.

UDK 523.44
USE OF NUCLEAR EXPLOSIONS TO PRODUCE IMPACT ON SMALL COSMIC BODIES TO AVERT THEIR COLLISION WITH EARTH / V. G. Zagrafov, A. K. Shanenko, V. A. Ryzhansky, A. G. Ivanov // P. 45

We study the processes of nuclear explosion impact on dangerous cosmic bodies to avert their collision with Earth. Special attention is paid to the analysis of two cases: transfer of momentum, which would be large enough to safely deflect the trajectory of small cosmic bodies detected at a sufficiently great distance from Earth; breaking-down of small cosmic bodies by nuclear explosion to produce fragments that would be small enough compared to the starting body for their impact on Earth to produce no catastrophic effect. Energy release of nuclear devices to achieve this goal was estimated. For the case of a hypothesized small cosmic body, like the Icarus asteroid, we demonstrate the process of its breaking down to much smaller fragments.