Stochastic complete continuity property of operators connected with a Wiener process

We study properties of some linear and nonlinear operators which occur in the theory of stochastic differential and integral equations.Translated from Statisticheskie Metody Otsenivaniya i Proverki Gipotez, pp. 148–154, 1988.     

Associated φΛ0 production in the EXCHARM experiment

The features of the associated production of φ mesons with Λ⁰ hyperons in neutron-carbon interactions were investigated. The experiment was performed with the aid of the EXCHARM spectrometer at the Serpukhov accelerator in a neutron beam of energy in the interval 20–70 GeV. The differential cross section for inclusive associated φΛ⁰ production was measured.     

Antiferromagnetic fluctuations in water-intercalated YBa2Cu3O6.8

Raman scattering by phononic and electronic excitations, as well as the magnetic susceptibility of water-intercalated YBa₂Cu₃O_6.8, has been studied. Direct evidence of the incorporation of OH^?-groups into the structure of the crystal has been obtained. The observed changes in the phonon spectrum and the appearance of the spectrum of antiferromagnetic fluctuations with an increased exchange coupling constant imply the localization of carriers and suppression of superconductivity. Change in the resonance behavior of the two-magnon scattering of light indicates the transformation of the electronic structure in crystallites absorbing water.     

Dynamics of the BiTeI lattice at high pressures

Raman measurements of the phonon spectrum of BiTeI at pressures of up to 20 GPa have been performed. A decrease in the linewidth of E² vibration by almost a factor of 2 with an increase in the pressure to 3 GPa has been detected. The frequencies of all four Raman active modes increase monotonically with the pressure. These lines are observed in spectra up to ～8 GPa. Sharp change in the spectrum occurs at pressures of 8–9 GPa, indicating a transition to the high-pressure phase, which holds up to 20 GPa. This transition is reversible and hardly has any hysteresis. A sample in the high-pressure phase is single crystal.     

Collective and fractal properties of pion jets in the space of 4-velocities at intermediate energies

Experimental results obtained by studying collective and fractal properties of soft pion jets in the space of relative 4-velocities at intermediate energies are presented. The mean square of the distance between secondary particles and the jet axis is found to be significantly smaller in the case of pion-proton interactions at initial energies of about 3 GeV than in the case of hadron-hadron collisions at similar energies. This reduction leads to a power-law dependence of this quantity on the interaction energy in the energy range between about 2 and 4 GeV, and this makes it possible to estimate the lower boundary of the region where color degrees of freedom manifest themselves in pion-jet production. The cluster dimensions of pion jets in various reactions were obtained for the first time. Fractional values of this dimension may be a manifestation of fractal properties of pion jets. The change in the mean kinetic energy of particles in the jet and the change in the fractal dimension in response to the change in the collision energy is compatible with the assumption that color degrees of freedom come into play in pion-jet production at intermediate energies.

     

Associated production of ϕ mesons and neutral kaons in the EXCHARM experiment

The features of the associated production of ? mesons and neutral kaons are studied on the basis of data obtained at the EXCHARM spectrometer (Serpukhov accelerator) in neutron—carbon interactions at neutron-beam energies in the range 20–70 GeV. The cross section for the inclusive associated production of ? and K ⁰/-K ⁰ is obtained. The fraction of processes allowed by the Okubo-Zweig-Iizuka rule is estimated in the reactions of ?-meson inclusive production.     

X-ray emission and Raman spectroscopy of CN<Subscript>0 ≤ <Emphasis Type="Italic">x</Emphasis> ≤ 0.5</Subscript> nanocondensates prepared by pulsed arc sputtering of graphite in the presence of nitrogen

The nanocomposite structure of the DLC-C₂N condensate is confirmed by analyzing the x-ray emission spectra of the CN_{0 ≤ x ≤ 0.5} films prepared by pulsed arc sputtering of graphite in the presence of nitrogen.     

Control of the Lyapunov exponents of dynamical systems in the plane with incomplete observation

Control linear systems in the plane are studied under the assumption of incomplete observation and incomplete control. In this situation ordinary static output controls may fail to stabilize the system. That is why special dynamic output feedback controls with finitely many states (hybrid feedback controls) are applied. Necessary and sufficient conditions are offered that guarantee exponential convergence/divergence of the solutions at an arbitrary rate. It is also shown that the general case can be reduced to two particular cases which are treated in detail.     

Searches for the pentaquark states Ξ(1860)0 and Ξ(1860)−− in neutron-carbon interactions via the EXCHARM experiment

Results of searches for the pentaquark states Ξ(1860)⁰ and Ξ(1860)^?? in neutron-carbon interactions at an average neutron energy of about 51 GeV via the EXCHARM experiment are presented. No such states are found in the Ξ^? π ⁺ and Ξ^? π ^? effective-mass spectra examined in this study. Upper limits on the cross sections for Ξ(1860)⁰ and Ξ(1860)^?? production are estimated.