Corresponding Member of the USSR Academy of Sciences D. V. SHIRKOV
This paper examines whether Regge asymptotic behavior of elastic scattering amplitudes can be derived consistently by the renormalization group in quantum field theory. It argues that renormalization group equations should be applied to the real spectral densities in analytic representations, such a…
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This paper proposes a general methodological framework for navigation based on the theory of space, time, and gravitation. It defines navigational information as information about the relative coordinates of bodies in a four-dimensional space-time manifold, and argues that navigation signals, spaces…
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The paper analyzes the spectral composition of depolarized Rayleigh scattering in liquids, focusing on anisotropy fluctuations not fully accounted for by earlier relaxation theories based on strain fluctuations. It derives intensity distributions for rotational Brownian diffusion of linear molecules…
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This paper investigates how tensile stress affects molecular mobility in highly oriented polycaprolactam and polyethylene terephthalate fibers using nuclear magnetic resonance spectra recorded under controlled temperature and load. The authors analyze broad and narrow spectral components associated …
A. A. NIKOLSKII
This paper derives simple exact solutions of the Boltzmann equation for unbounded three-dimensional expansion and compression of monatomic gases and mixtures, assuming spatially uniform distributions of peculiar velocities. By transforming to variables scaled with time, it shows that Maxwellian pecu…
N. G. BAKHSHIEV, O. P. GIRIN, V. S. LIBOV
This paper examines how observed infrared absorption spectra of liquid chloroform and carbon tetrachloride in the 740 to 810 cm−1 region differ from the corresponding true molecular absorption spectra because of internal-field effects in the condensed medium. Optical constants were determined from r…
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This paper analyzes electromagnetic radiation produced when a uniformly moving charged particle passes near an ideally conducting wedge, a geometry in which induced surface currents near the edge can strongly affect the emission. Using Fourier components of the electromagnetic potentials, known solu…
Corresponding Member of the Academy of Sciences of the USSR B. V. DERYAGIN, Yu. V. GUTOP
This paper develops a theory for the fluctuational rupture of wetting liquid films as a model for the adhesion of mineral particles to gas bubbles in flotation. Treating the film as a two-dimensional layer on a plane substrate, the authors extend earlier rupture theory by incorporating slip friction…
L. P. GOR'KOV, L. P. PITAEVSKII
This paper examines the asymptotic splitting between the singlet and triplet electronic terms of the hydrogen molecule at large internuclear separation. It argues that the Heitler-London approximation is inadequate in the barrier region because electron interactions there cannot be treated perturbat…
L. D. FADDEEV
The paper proposes a perturbative method for separating self-action effects from genuine scattering effects in quantum field theory without relying on free-Hamiltonian eigenfunctions and wave-function renormalization. Using a neutral scalar meson model, it argues that the usual asymptotic condition …
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This paper examines how equations of wave propagation may be reconstructed from the Hamilton-Jacobi equation by treating classical particles as singularities of an underlying field. The Hamilton-Jacobi equation is reformulated as an eikonal or characteristic equation in an extended space, and the as…
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This paper studies the analytic properties of perturbative Feynman diagram contributions to scalar meson scattering, with emphasis on identifying which points of a singularity surface are actual singularities. The argument rewrites the integral representation so that relevant coefficients in the Man…
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This paper proposes a generalization of Einstein’s gravitational field equations motivated by the author’s view that the standard equations do not adequately express conservation of the combined energy and momentum of matter and the gravitational field. Using a variational formulation, it replaces t…
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This paper analyzes diffusion from an instantaneous point source in a gas subject to a gravitational field, assuming a barometric background distribution and an exponentially height-dependent diffusion coefficient. It derives an integral solution using Bessel-function eigenfunctions and evaluates as…
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The paper addresses nebular forbidden spectral lines in planetary nebulae and the solar corona that are not explained by existing electric quadrupole, magnetic dipole, or intercombination transition theories. It proposes an extension of magnetic multipole transition theory by constructing an operato…
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The paper presents a computational formulation for studying the motion of many interacting charged particles of one sign in a magnetic bottle, using enlarged particles or azimuthally symmetric charged rings rather than a Boltzmann kinetic description. Equations of motion in cylindrical coordinates a…
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This note examines the applicability of the linearized Vlasov kinetic equation with a self-consistent field to a crystal at zero temperature. Starting from an equilibrium phase density concentrated at lattice sites, the author represents small variations by particle displacements and momenta, showin…
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This paper analyzes light scattering by an isotropic Maxwellian plasma in the regime where collective plasma effects can be neglected. Using general scattering formulas for noninteracting charged particles, it derives relativistic corrections for both weakly relativistic and strongly relativistic el…
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This paper examines how pressures up to 25,000 kg/cm² affect the infrared absorption spectrum of benzene in the 4000 to 4300 cm⁻¹ overtone and combination region. Using a high-pressure cuvette and infrared spectrometer, the authors track pressure-dependent shifts of several absorption bands through …
O. V. LOZHKIN, N. A. PERFILOV, Yu. P. YAKOVLEV
The paper examines the formation of fast lithium 8 fragments in the disintegration of carbon 12 nuclei by 660 MeV protons, with attention to angular distributions and energy spectra relevant to direct reaction and fragmentation mechanisms. Thin carbon containing films were irradiated in a vacuum cha…
V. A. DUBROVSKII
The paper constructs quasiclassical asymptotics for the Dirac equation by relating it to a five-variable first-order wave equation whose characteristic manifolds reproduce the relativistic Hamilton-Jacobi equation. A periodicity condition in the action coordinate is introduced, leading by separation…
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This paper derives a kinetic equation for an adsorption monolayer on a body surface interacting with a rarefied gas flow, accounting for thermal desorption, impact-induced desorption, and adsorption probabilities dependent on energy exchange with clean and covered surface regions. Using a statistica…
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This paper investigates radiationless energy transfer from aromatic donor molecules in the triplet state to singlet excited states of acceptor molecules in solid solutions at low temperature. Using phosphorescence lifetime shortening, phosphorescence yield quenching, spectral overlap comparisons, an…
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This paper examines asymptotic expansions for a weakly interacting nonideal Bose-Einstein system in the neighborhood of the phase transition temperature, where earlier expansions in either the interaction strength or condensate density become nonuniform. Using a modified scaling in which the tempera…
N. N. KOCHINA
This paper studies the dynamic explosion of equilibrium in an ideal self-gravitating medium under spherical symmetry and zero temperature gradient in the disturbed region. Starting from the equations of unsteady motion, equilibrium conditions, shock-front jump conditions, and conservation of total e…
E. T. Antropov, A. P. Dronov, N. N. Sobolev, V. P. Cheremisinov
This study experimentally determines the electronic transition matrix elements and oscillator strengths for selected bands of the gamma and beta systems of nitric oxide. Integral absorption coefficients were obtained from photometric analysis of absorption spectra recorded in a high pressure heated …
P. S. NESTERENKO
This study examines the photoelectret state in untreated CdS single crystals at room temperature and compares its spectral behavior with photoconductivity, photodepolarization, dark polarization, and infrared quenching. Measurements using monochromatic illumination and photodepolarization currents s…
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The paper investigates magnetic field lines produced by helical currents flowing on the surface of a torus, a configuration relevant to stellarator theory. Using the Biot-Savart law, the field components are derived in toroidal coordinates and expanded for small minor-to-major radius ratio, showing …
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The paper studies high frequency asymptotics of the Green’s function for stationary diffraction by a polyhedral angle with ideal boundary conditions, using the singularities of the corresponding nonstationary Green’s function near the spherical wave front scattered by the vertex. It derives a ray ex…
I. D. Novikov, L. M. Ozernoi
This paper examines light propagation in the strong spherically symmetric gravitational field of a body whose surface may lie inside the Schwarzschild singular sphere, where the usual Schwarzschild coordinates are not applicable. Using the Lemaître reference system, the authors derive equations for …
E. A. Koltypin, G. B. Yan’kov
This paper reports measurements of neutron strength functions for separated isotopes Ni-62, Se-80, Cd-114, and Sn-118 in the 50 to 400 keV neutron energy range. Using neutrons from the T(p,n)He-3 reaction, the authors determined deviations of sample transparency from exponential attenuation by compa…
N. P. BOGACHEV, E. L. GRIGOR'EV, Yu. P. MEREKOV
This paper reports a measurement of the cross section for formation of Li8 fragments in nuclear emulsion irradiated by 9 BeV protons, addressing the limited data available above 1 BeV. NIKFI-R emulsions exposed at the Joint Institute for Nuclear Research synchrophasotron were scanned along primary p…
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This paper examines why experimentally determined optical anisotropy of polymer segments can vary with solvent, contrary to the assumption that it reflects only the intrinsic anisotropy of the macromolecule. Using data on dynamic birefringence and viscosity for several polymers, including polyvinyl …
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This paper reports a ground-based method for studying the behavior of liquids under transient weightlessness, motivated by earlier theoretical work on the equilibrium and oscillatory forms of non-wetting and ideally wetting liquids. The author describes a freely falling instrumented projectile conta…
Corresponding Member of the Academy of Sciences of the USSR E. F. GROSS, N. S. KOCHEVA,
This paper reports low-temperature absorption, luminescence, and reflection studies of GaP crystals aimed at distinguishing free and bound exciton features and their coupling to lattice phonons. The authors identify step-like structures in the absorption spectrum at 77.3 K as indirect transitions to…
A. I. MOROZOV, L. S. SOLOV’EV
The paper derives a symmetric formulation for stationary flows of an ideally conducting compressible fluid in a magnetic field under helical symmetry. Starting from the nondissipative magnetohydrodynamic equations, it introduces stream, magnetic, vorticity, and current functions, obtains integrals o…
N. N. Sirota
This paper proposes a way to estimate the paramagnetic component of the magnetic susceptibility of semiconductor and covalent crystals from experimentally determined electron-density distributions. Building on the Van Vleck expression for susceptibility, it argues that nonspherical ion clouds and bo…
N. A. BORZUNOV, N. Ya. KUZMINA, I. Kh. NEVYAZHSKII, S. M. OSOVETS,
This paper reports experimental studies of hydrogen plasma in a toroidal apparatus driven by a high-frequency three-phase traveling electromagnetic wave at 2.5 MHz, intended to examine plasma confinement and wave-plasma interaction. Measurements of azimuthal drift current, electron density and tempe…
V. F. Demichev, V. D. Matyukhin
Experiments are reported on fast plasma clots produced by a coaxial electrodynamic injector using hydrogen, deuterium, and helium, with injector voltage, gas amount, and discharge timing varied. Magnetic probes, displaced-flux measurements, calorimetry, thermal probes, ballistic momentum measurement…
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This paper derives a general expression for the differential cross section of the double Compton effect on an electron in the first nonvanishing order of perturbation theory. Using Feynman notation, the calculation includes the six photon-line permutations contributing to the matrix element, followe…
E. S. MASHKOVA, V. A. MOLCHANOV, D. D. ODINTSOV
This paper investigates the angular anisotropy of ion induced electron emission from the (100) face of copper single crystals irradiated by singly charged argon ions at 20 and 30 keV. The authors measure the emission coefficient as a function of ion incidence angle and compare the results with polyc…
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This paper develops a kinetic theory for the stationary distribution of a fully ionized near-Earth plasma in the terrestrial electric and magnetic fields, treating the radiation belts as a possible single statistical formation. Using ellipsoidal velocity distribution functions, the authors derive co…
S. S. KABALKINA, Z. V. TROITSKAYA
Cadmium sulfide was examined at room temperature under pressures up to 90 kbar to determine directly the structure of its high-pressure phase, previously inferred from optical changes and recovered samples. Using a calibrated high-pressure x-ray diffraction chamber, the authors recorded diffraction …
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The paper studies analytic domains for the pion nucleon vertex function and pion scattering amplitudes in finite order perturbation theory, taking account of the pseudoscalar character of pions and excluding unphysical primitive diagrams with three meson lines at a vertex. Using the majorization met…
Academician of the Academy of Sciences of the Ukrainian SSR A. G. GOLDMAN, A. I. PROSKURA
This paper reexamines the nature of the Goodden-Pohl effect, the flash produced when an electric field is applied to a previously excited phosphor, using experiments on ZnS:Cu,Sn phosphor cells. The authors compare the flash spectrum with phosphorescence, study repeated excitation and field applicat…
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This paper examines the stability of higher irreducible correlation functions in a spatially homogeneous, fully ionized plasma without a magnetic field. Starting from the Bogolyubov hierarchy, the authors reformulate the equations for irreducible distribution functions and, for small plasma paramete…
Academician of the Academy of Sciences of the Uzbek SSR E. I. ADIROVICH
This paper develops a theory of the Dember effect in semiconductors that allows for an anomalous sign of the photodiffusion emf, contrary to the usual result that the sign is fixed by the less mobile carriers. By solving the kinetic equations with boundary layers near the illuminated and shadow surf…
Corresponding Member of the USSR Academy of Sciences V. I. Gol’danskii, T. A. Solonenko,
This study examines how selected aqueous ions and organic additives affect positronium annihilation, distinguishing between quenching, observed as a decrease in the long-lived lifetime component, and inhibition of positronium formation, observed as a decrease in its intensity. Time distributions of …
Academician of the Academy of Sciences of the Uzbek SSR É. I. ADIROVICH
This paper examines whether semiconductor photoelectric generators can be assigned a definite electromotive force equal to their open-circuit voltage. It argues from Maxwell’s current equation and semiconductor transport relations that the circulation of extraneous forces may depend not only on illu…
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This paper develops a theoretical explanation of the compensation effect observed in self-diffusion in solids, where the Arrhenius pre-exponential factor increases strongly with activation energy. The authors model the elementary diffusion act as a collective fluctuation in which energy is randomly …