Simultaneous sub-second hyperpolarization of the nuclear and electron spins of phosphorus in silicon

We demonstrate a method which can hyperpolarize both the electron and nuclear spins of 31P donors in Si at low field, where both would be essentially unpolarized in equilibrium. It is based on the selective ionization of donors in a specific hyperfine state by optically pumping donor bound exciton hyperfine transitions, which can be spectrally resolved in 28Si. Electron and nuclear polarizations of 90% and 76%, respectively, are obtained in less than a second, providing an initialization mechanism for qubits based on these spins, and enabling further ESR and NMR studies on dilute 31P in 28Si.Comment: 4 pages, 3 figure

Phenomenological analysis of K+ meson production in proton-nucleus collisions

Total and differential cross sections from literature, on the production of K+ mesons in pA interactions at projectile energies between T=0.8 and 2.9 GeV, covering the transition across the free nucleon-nucleon threshold at 1.58 GeV, have been investigated. From the target-mass dependence of the production cross sections no evidence for the expected change of the dominant reaction mechanism from two-step to direct kaon production was found. At T=1.0 GeV the A dependences of the total cross sections and of the most recent data from COSY-Juelich, differential cross sections measured under forward angles, are strongly different. The invariant K+ production cross sections show an overall exponential scaling behavior with the squared four-momentum transfer between the beam proton and the produced K+ meson for t< -0.05 GeV^2 independent of the beam energy and emission angle. The data from COSY-Juelich reveal a strongly different t dependence in the region of t>0 GeV^2. Further data at forward angles and different beam energies should be taken in order to explore this region of kinematically extreme conditions.Comment: 9 Pages, 11 Figure

New method of studying slow strange meson properties in nuclear matter

We suggest the new experimental method to explore the properties of slow strange mesons at normal nuclear matter density. We show that the $K^{+}$ and $K^{-}$ mesons with extremely small momenta relative to the surrounding medium rest frame can be produced in nucleus-nucleon collisions and their production cross sections are experimentally measurable. The experiments on study of the momentum dependence of meson-nuclear potentials are discussed.Comment: 4 pages, 2 figure

Spin relaxation times of donor centers associated with lithium in monoisotopic 28Si

© (2016) Trans Tech Publications, Switzerland. We report a detailed study of electron longitudinal and transverse spin relaxation times for Li donors in monoisotopic 28Si over the temperature range 4–20 K using continuous wave and pulsed electron paramagnetic resonance. Comparison of the obtained spin-lattice relaxation times for the states of the isolated donor center and lithium complex LiO showed that due to the presence of orbital degeneracy, relaxation is faster for single lithium than for the LiO complexes with the nondegenerate ground state. For the isolated lithium center in silicon the relaxation is well described by Blume-Orbach process, with the parameters of the spin-orbit coupling ~ 1·10-6 meV compare to Orbach process for LiO complex with spin-orbit coupling parameter ~ 1.5·10-2 meV

Volumes of polytopes in spaces of constant curvature

We overview the volume calculations for polyhedra in Euclidean, spherical and hyperbolic spaces. We prove the Sforza formula for the volume of an arbitrary tetrahedron in $H^3$ and $S^3$. We also present some results, which provide a solution for Seidel problem on the volume of non-Euclidean tetrahedron. Finally, we consider a convex hyperbolic quadrilateral inscribed in a circle, horocycle or one branch of equidistant curve. This is a natural hyperbolic analog of the cyclic quadrilateral in the Euclidean plane. We find a few versions of the Brahmagupta formula for the area of such quadrilateral. We also present a formula for the area of a hyperbolic trapezoid.Comment: 22 pages, 9 figures, 58 reference

Zymography: developing of the enzyme soil activity visualization method

The enzymes produced by the soil biota are a key link in the regulation of biochemical processes. The soil enzyme activity can be visualized with zymography, a method based on using fluorescent substrates and obtaining two-dimensional images (zymograms). A variant of a zymographic measuring system has been proposed. Characteristics of lighting, photographic equipment and shooting modes, reagents preparation and calibration are presented. Preparing and analyzing soil samples of different texture (sand and clay loam) and processing the study results have been described. The ways of introducing the substrate are considered in this study, namely pipetting, short-time dipping, and saturation. An analysis of the kinetics of incubation of samples was carried out. The possibilities and disadvantages of the method were also considered and options for solving possible methodological problems during the analysis were proposed. The zymography is a promising method that allows comparing data with the results of other methods. The use of neural network technologies makes it possible to obtain the volumetric distribution of soil enzymes with high reliability. The soil zymography requires qualitative preparatory work and extreme accuracy during the analysis. It is necessary to ensure maximum contact between the substrate and the soil, as this is one of the key factors determining the quality of the results. The most optimal way to introduce the substrate is to saturate the membranes with substrate solution for 60 minutes. At this stage of the development of the method, it is not possible to establish a universal sample incubation time, since this depends on characteristics of both the studied soils and the experiment conditions. Also, it is necessary to document the conditions in detail for discussion the study results

Volume formula for a Z2\mathbb{Z}_2-symmetric spherical tetrahedron through its edge lengths

The present paper considers volume formulae, as well as trigonometric identities, that hold for a tetrahedron in 3-dimensional spherical space of constant sectional curvature +1. The tetrahedron possesses a certain symmetry: namely rotation through angle $\pi$ in the middle points of a certain pair of its skew edges.Comment: 27 pages, 2 figures; enhanced and improved exposition, typos corrected; Arkiv foer Matematik, 201