Populations of sublevels 24Mg(2+) nucleus formed in the reaction 24Mg(d,d1γ)24Mg at E d = 15.3 MeV

Angular dependences of density matrix spin tensors and sublevel populations are experimentally reconstructed for the ²⁴Mg(2⁺, 1.369 MeV) nucleus formed in the inelastic scattering of deuterons by ²⁴Mg at E _d = 15.3 MeV and deuteron emission angles from 25° to 165° (lab). The experimental results are compared to those from calculations using different versions of the coupled-channel method.     

Singular boundary value problem for the integrodifferential equation in an insurance model with stochastic premiums: Analysis and numerical solution

A singular boundary value problem for a second-order linear integrodifferential equation with Volterra and non-Volterra integral operators is formulated and analyzed. The equation is defined on ?₊, has a weak singularity at zero and a strong singularity at infinity, and depends on several positive parameters. Under natural constraints on the coefficients of the equation, existence and uniqueness theorems for this problem with given limit boundary conditions at singular points are proved, asymptotic representations of the solution are given, and an algorithm for its numerical determination is described. Numerical computations are performed and their interpretation is given. The problem arises in the study of the survival probability of an insurance company over infinite time (as a function of its initial surplus) in a dynamic insurance model that is a modification of the classical Cramer-Lundberg model with a stochastic process rate of premium under a certain investment strategy in the financial market. A comparative analysis of the results with those produced by the model with deterministic premiums is given.     

Interaction of 4,5-diphenyl-2,3-dihydro-2,3-pyrroledione with ethoxycarbonylmethylenetriphenylphosphorane: synthesis and crystal structure of 4,5-diphenyl-Z-2-ethoxycarbonylmethylene-2,3-dihydro-3-pyrrolone

1-Unsubstituted 4,5-diphenyl-2,3-dihydro-2,3-pyrroledione interacts with ethoxycarbonyl-methylenetriphenylphosphorane regioselectively to give 4,5-diphenyl-Z-2-ethoxycarbonyl-methylene-2,3-dihydro-3-pyrrolone. The crystal and molecular structure of the latter was studied by X-ray analysis.Translated fromIzvestiya Akademii Nauk. Seriya Khimicheskaya, No. 8, pp. 1556–1558, August, 1995.     

Investigation of the inelastic deuteron scattering mechanism for 24Mg at E d = 15.3 MeV

Results from measuring the angular dependence of differential cross sections of elastic and inelastic deuteron scattering by the ²⁴Mg nucleus with the formation of the ground and first excited states 2⁺, 1.369 MeV at E _d = 15.3 MeV for deuteron angles interval from 21.5° to 161.5° (lab) are presented. Experimental results are compared with calculations in various approximations of the coupled channels model. The influence of heavy particle stripping mechanisms and consecutive particle transfer is also discussed.     

Investigation of the mechanism of inelastic deuteron scattering on <Superscript>12</Superscript>C at <Emphasis Type="Italic">E</Emphasis><Subscript>d</Subscript> = 15.3 MeV by the method of <Emphasis Type="Italic">dγ</Emphasis> angular correlations

The results are presented that were obtained by measuring the differential cross sections for the reaction ¹²C(d,d) ¹²C occurring at E _d = 15.3 MeV and leading to the production of a ¹²C nucleus in the ground and the first excited state. The energy dependences of the differential reaction cross sections were measured for three angles of deuteron emission in the range of projectile-deuteron energies E _d between 12 and 15.3 MeV. The double-differential cross sections for the reaction in question were measured for the 2⁺ state of the ¹²C nucleus at 4.44 MeV, and the angular dependences of the even spin-tensor components of the density matrix were determined, along with the angular dependences of the populations of magnetic sublevels and the components of the tensors of multipole-moment orientation. These experimental results are compared with their theoretical counterparts obtained under the assumption of various reaction mechanisms, including collective interaction, heavy-particle stripping, a two-step mechanism that takes into account the delay in the interaction, and the mechanism of compound-nucleus formation.     

Investigation of the 13C(d,α)11B reaction mechanism at Ed = 15.3 MeV

The differential cross section of the ¹³C(d, α)¹¹B reaction at E _d = 15.3 MeV with the formation of ¹¹B nucleus in the ground and three low-lying excited states have been measured. The experimental data are compared with the results of calculations under the assumption of different reaction mechanisms: deuteron pick-up, ⁹Be-cluster exchange, two-step consecutive cluster transfer, and compound nucleus formation. Original Russian Text ? L.I. Galanina, N.S. Zelenskaya, I.A. Konyukhova, V.M. Lebedev, N.V. Orlova, A.V. Spassky, 2009, published in Izvestiya Rossiiskoi Akademii Nauk. Seriya Fizicheskaya, 2009, Vol. 73, No. 6, pp. 853–856.     

Properties of solutions of certain two-dimensional nonlinear systems of ordinary differential equations on and outside a stable manifold

Some two-dimensional nonlinear systems with an irregular singularity at infinity are investigated. Properties of their solutions on and outside a one-dimensional stable manifold are studied. Representations for solutions on the manifold are derived in the form of one-parameter exponential series. It is shown how solutions not tending to zero at infinity deviate from the stable manifold.Translated from Matematicheskie Zametki, Vol. 8, No. 3, pp. 285–295, September, 1970.The author wishes to thank A. A. Abramov for his advice concerning this work.     

Thermodynamics of deformation of low-crystalline poly(hydroxyalkanoate) fibers

The deformation behavior and thermodynamics of uniaxial drawing of low-crystalline poly(hydroxyalkanoate) fibers prepared by gel spinning have been studied by differential scanning and deformation calorimetry. The multistage character of thermal effects taking place during stretching have been discovered and analyzed. This phenomenon is likely related to different mechanical relaxation of regions with different levels of order. In softened samples, the amorphous phase first experiences deformation during tensile drawing and relaxation during unloading. With account of direct calorimetric studies during uniaxial tensile drawing, the energy component of this process has been estimated.