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ON ONE CLASS OF SELF-SIMILAR MOTIONS OF AN ULTRARELATIVISTIC GAS

1.** The relativistic equations of motion of an ideal continuous medium have the form
1961 SovietRxiv: ru-196101.75167

The paper studies centrally symmetric self-similar motions of an ideal ultrarelativistic gas with equation of state ε = 3p, including the photon gas as an exact case. Using dimensional analysis, the relativistic hydrodynamic equations are reduced to ordinary differential equations in the similarity …

Study of the Electrical Resistance of Cerium, Lanthanum, and Neodymium at Pressures up to 250,000 kgf/cm $^2$

Corresponding Member of the Academy of Sciences of the USSR L. F. VERESHCHAGIN,
1961 SovietRxiv: ru-196101.74879

The study examines how high pressure affects the electrical resistance of cerium, lanthanum, and neodymium, extending earlier measurements on these lanthanide metals to pressures up to 250,000 kg/cm². Using a calibrated high-pressure chamber at room temperature, the authors measured resistance chang…

On the Investigation of Vibrational Excitation and Dissociation of Oxygen Molecules at High Temperatures

S. A. Losev and N. A. Generalov
1961 SovietRxiv: ru-196101.74483

This paper examines the relation between vibrational excitation and dissociation of oxygen molecules behind strong shock waves at high temperatures, with particular attention to whether these processes can be treated as separate zones. Using shock-tube absorption measurements and relaxation analysis…

Distribution of the electron density of $3d$-shell electrons responsible for the ferromagnetism of nickel, cobalt, and iron

Academician of the Academy of Sciences of the Belorussian SSR N. N. Sirota and N. M. Olekhnovich
1961 SovietRxiv: ru-196101.73780

This paper examines the spatial distribution of the 3d shell electrons responsible for ferromagnetism in iron, cobalt, and nickel using neutron magnetic scattering form factors. The authors calculate electron density and radial electron density in the unit cell by summing three-dimensional Fourier s…

Quantum Green’s Function Method in the Theory of Optical Bands in Crystals

S. V. TYABLIKOV and V. A. MOSKALENKO
1961 SovietRxiv: ru-196101.73755

This paper applies the method of quantum Green’s functions to optical multiphonon transitions in polarons and F-centers under adiabatic electron, phonon coupling. It formulates the absorption characteristic function using phonon Hamiltonians for the initial and final electronic states, including bot…

Angular distribution of sputtered particles during irradiation of a single crystal with an ion beam

V. A. MOLCHANOV, V. G. TELKOVSKII, and V. M. CHICHEROV
1961 SovietRxiv: ru-196101.71325

This study examines the angular distribution of atoms sputtered from single-crystal copper under ion bombardment, focusing on the formation of characteristic Wehner, or Venus, spots along crystallographic directions. Using an argon ion beam and x-ray film collectors placed at varying distances, the …

On the determination of transition frequencies between different states of the activator molecule in organoluminophores

Unknown
1961 SovietRxiv: ru-196101.66903

This paper addresses the determination of nonradiative transition frequencies between fluorescent, phosphorescent, and normal states of activator molecules in organoluminophores, especially when quenching or temperature changes may alter these rates. Starting from a kinetic scheme with radiative and…

Logarithmic Criterion for Superconductivity

Unknown
1961 SovietRxiv: ru-196101.66850

This paper reexamines the criterion for superconductivity in the presence of both phonon-mediated attraction and Coulomb repulsion, with particular attention to the damping of one-electron excitations far from the Fermi surface. Using Bogolyubov’s formulation of the Feynman diagram technique and ass…

On Dispersion Relations in Nonlocal Field Theory

Unknown
1961 SovietRxiv: ru-196101.65757

This paper examines whether dispersion relations can be derived in nonlocal field theory from a macrocausality condition rather than from local commutation assumptions. Using earlier estimates for scattering matrix elements with finite wave packets, it analyzes the growth of wave-packet derivatives …

On the State of a Gas Moving Near a Solid Surface

S. P. BAKANOV and Corresponding Member of the Academy of Sciences of the USSR B. V. DERYAGIN
1961 SovietRxiv: ru-196101.65532

The paper examines the nonequilibrium state of a gas in the Knudsen layer near a solid wall during plane shear flow, where the molecular distribution differs from the bulk Chapman-Enskog form. Using a Boltzmann-equation formulation with diffuse reflection at the wall, the authors split the distribut…

Anisotropic Scattering of Electrons by Ionized Impurities

A. G. SAMOILOVICH, I. Ya. KORENBLIT, and I. V. DAKHOVSKII
1961 SovietRxiv: ru-196101.64899

This paper analyzes anisotropic scattering of electrons by ionized impurities in semiconductors with ellipsoidal constant energy surfaces, assuming a scalar dielectric constant and a screened Coulomb impurity potential. Using the Born approximation and a spherical harmonic expansion of the kinetic e…

Shift of the Branch Point in the Mass Operator of Formal Perturbation Theory for a Nonideal Fermi-Dirac System

Unknown
1961 SovietRxiv: ru-196101.64115

This paper examines divergent diagrams in the formal perturbation expansion for the mass operator of a nonideal Fermi Dirac system and relates them to the displacement of branch points in the one-particle Green function. Using diagrammatic rules for particle and hole contributions, partial self-ener…

The Effect of Polymorphism on Thermal Conductivity

Unknown
1961 SovietRxiv: ru-196101.62938

This study examines how solid state polymorphic transformations affect thermal conductivity in an organic compound, using dichlorobenzene as a model substance. Thermal conductivity was measured from 98 to minus 40 degrees Celsius in liquid and solid states by a calibrated steady state relative metho…

Division of antimony nuclei by fast protons

A. K. LAVRUKHINA, E. E. RAKOVSKII, SU HUN-GUI, and S. KHOJNACKI
1961 SovietRxiv: ru-196101.62882

This study investigates the fission of antimony nuclei induced by 660 MeV protons, addressing the limited experimental information available for fission in medium atomic weight elements. Highly purified antimony targets were irradiated, fission products with atomic numbers from 11 to 37 were chemica…

Self-similar relativistic motions in the case of point symmetry

K. P. STANYUKOVICH
1961 SovietRxiv: ru-196101.61726

This paper analyzes self-similar relativistic gas motions with plane, cylindrical, and spherical symmetry for adiabatic equations of state. It derives reduced systems for two classes of self-similar solutions, showing that relativistic velocity bounds force the similarity exponent associated with ve…

Statistical Operator for Nonequilibrium Systems

D. N. ZUBAREV
1961 SovietRxiv: ru-196101.61112

This paper proposes a statistical operator for nonequilibrium systems intended to generalize the Gibbs distribution while remaining consistent with Liouville’s theorem. Using local conservation laws for energy and particle number, it constructs local integrals of motion that include time integrals o…

Low-frequency infrared absorption spectrum of the hydrogen bond in liquid water and crystal hydrates

Unknown
1961 SovietRxiv: ru-196101.60973

The paper investigates low-frequency infrared absorption associated with hydrogen-bond vibrations in liquid ordinary and heavy water, and in several crystal hydrates. Using long-wavelength infrared spectrometry over roughly 42 to 200 micrometers, the authors observe weak structure within the broad t…

On Electrostatic Effects During the Motion of a Rarefied Plasma in an Inhomogeneous Magnetic Field

Yu. S. SIGOV
1961 SovietRxiv: ru-196101.60333

This paper investigates electrostatic effects arising when a rarefied two-component plasma moves through an inhomogeneous magnetic field, where unequal electron and ion motion produces charge separation and a finite potential jump. Using a drift kinetic description for a plane stationary flow with m…

Experimental and Calculated Cross Sections of the $\mathrm{Bi}^{209}(p,xn)\mathrm{P}_0$ Reaction at a Bombarding Proton Energy of 135 MeV

B. N. Belyaev, A. V. Kalyamin, and A. N. Murin
1961 SovietRxiv: ru-196101.60211

This paper compares measured and calculated formation cross sections for polonium isotopes produced in the reaction Bi-209(p,xn)Po at a bombarding proton energy of 135 MeV. Experimental yields of Po-200 through Po-209 were determined from alpha activity and daughter-product activity after chemical s…

On the Quantum Theory of Unstable Elementary Particles

L. A. Khalfin
1961 SovietRxiv: ru-196101.59330

This paper examines the quantum description of unstable elementary particles in terms of their energy, or mass, distribution and its relation to the observable decay law. Using the Fock-Krylov framework and dispersion relations for the decay amplitude, it analyzes the inverse problem of reconstructi…

On the Proof of the Impossibility of Strong Deflagrations and Weak Detonations

Corresponding Member of the Academy of Sciences of the USSR K. I. SHCHELKIN
1961 SovietRxiv: ru-196101.56347

This paper reexamines the standard proof that strong deflagrations and, in the Zel’dovich Neumann model, weak detonations are impossible. It argues that the usual energy barrier argument depends on an implicit assumption about the sign of the chemical reaction rate along the Michelson line and is th…

SENSITIVITY OF THE POLYDISPERSE INDICATRIX TO THE SHAPE OF THE DISTRIBUTION CURVE

1. The light-scattering indicatrix of a polydisperse colloidal system is determined by the relation
1961 SovietRxiv: ru-196101.56122

This paper examines how the light-scattering indicatrix of a polydisperse colloidal or aerosol system depends on the assumed particle-size distribution, with emphasis on the stability of the inverse problem for determining that distribution from measured scattering. The authors discuss the reduction…

ON THE STABILITY OF DETONATION WAVES IN GAS MIXTURES

Unknown
1961 SovietRxiv: ru-196101.55919

The paper analyzes the linear stability of detonation waves in gas mixtures, motivated by the problem of spin detonation and by earlier qualitative instability criteria. A simplified two-zone model is used, with a constant chemical spike, an instantaneous transition to final products after a pressur…

Plane sound wave of finite amplitude in a moving medium

A. L. POLYAKOVA
1961 SovietRxiv: ru-196101.55348

This paper generalizes the Riemann solution for plane finite-amplitude sound waves to media moving with constant velocity and examines propagation with and against the flow. It derives nonlinear expressions for the wave field under three configurations: a stationary source and observer in a wind, a …

Formal Definition of the $R$-Operation

Unknown
1961 SovietRxiv: ru-196101.55011

The paper gives a formal definition of the Bogolyubov-Parasyuk R-operation intended for practical use in perturbative quantum field theory, with spinor electrodynamics used as the illustrative setting. It defines a class of graphs built from elementary vertices, introduces a commutative and associat…

On the Determination of the Total Angular Momentum of a System of $n$ Particles for the Configuration $j^n$

G. I. ZELTSER
1961 SovietRxiv: ru-196101.54988

The paper addresses the determination of possible total angular momenta and their multiplicities for systems of identical particles in a shell configuration with fixed single-particle angular momentum, allowing for arbitrary permutation symmetry described by Young diagrams. It derives character form…

Effect of Temperature on the Angular Correlation of $\gamma$ Quanta Arising from Positron and Electron Annihilation in Bismuth

Unknown
1961 SovietRxiv: ru-196101.54333

This paper examines how temperature affects the angular correlation of gamma quanta produced by positron-electron annihilation in a bismuth single crystal, with attention to anisotropy in the basal plane. Using a positron source and bismuth crystal mounted in a Dewar on a goniometric table, angular-…

Optical Absorption of Polycrystalline $\mathrm{CdS}$ Layers

K. V. SHALIMOVA, T. S. TRAVINA, and L. L. GODIK
1961 SovietRxiv: ru-196101.53387

This study examines the optical absorption of polycrystalline cadmium sulfide layers produced by evaporating CdS powder onto insulating substrates in vacuum, argon, and hydrogen sulfide, with substrate temperatures ranging from room temperature to 550 degrees Celsius. More than 600 films were prepar…

EQUATIONS OF RELATIVISTIC RADIATION HYDRODYNAMICS

Unknown
1961 SovietRxiv: ru-196101.52926

This paper formulates relativistic hydrodynamic equations for a moving radiating medium within special relativity, addressing inconsistencies that arise when radiation quantities are not distinguished between laboratory and comoving frames. It derives Lorentz transformation laws for radiation intens…

On the Question of the Fermion Mass in a $\gamma^5$-Invariant Model of Quantum Field Theory

B. A. Arbuzov, A. N. Tavkhelidze, and R. N. Faustov
1961 SovietRxiv: ru-196101.50286

The paper examines whether finite fermion masses can arise dynamically in gamma5-invariant quantum field models, despite vanishing mass corrections in ordinary perturbation theory. Using Bogolyubov’s idea of removing degeneracy, the authors introduce infinitesimal symmetry-breaking terms and formula…

Photoelectric emission from the surface of $\mathrm{Cr}_2\mathrm{O}_3$ , $\mathrm{NiO}$ , $\mathrm{ZnO}$

Unknown
1961 SovietRxiv: ru-196101.49775

This paper investigates the kinetic energy distributions of photoelectrons emitted from chromium oxide, nickel monoxide, and zinc oxide surfaces under ultraviolet irradiation. Using a retarding-field method in a spherical condenser, the study compares samples prepared by several methods and interpre…

Measurement of fluctuations in ionization produced by $\alpha$ particles in argon

Academician of the Academy of Sciences of the Ukrainian SSR A. P. KOMAR, A. A. VOROB'EV, and V. A. KOROLEV
1961 SovietRxiv: ru-196101.49534

This paper reports an experimental measurement of fluctuations in the number of ion pairs produced by alpha particles in argon, a quantity that limits the resolving power of ionization spectrometry and is commonly described by Fano’s theory. Using a gridded pulsed ionization chamber filled with high…

Current buildup in dielectrics under gamma irradiation

Unknown
1961 SovietRxiv: ru-196101.47728

This paper examines the time dependence of radiation-induced electrical current in dielectrics exposed to gamma irradiation, with attention to the role of electron traps and recombination centers. Using a simplified kinetic model for free-electron generation, recombination, and trap capture, it expl…

Quantum-Mechanical Theory of Absorption and Luminescence Spectra of Complex Molecules

Academician of the Academy of Sciences of the Belorussian SSR B. I. STEPANOV
1961 SovietRxiv: ru-196101.46504

This paper develops a quantum mechanical account of the continuous absorption and luminescence bands of complex molecules, focusing on band contours and the origin of Stokes losses. It models electronic excitation as coupled directly to one or a few vibrational degrees of freedom, while the remainin…

On the Photoconductivity of Polycrystalline Cadmium Sulfide Layers

K. V. SHALIMOVA, T. S. TRAVINA, and R. R. REZVYI
1961 SovietRxiv: ru-196101.45791

This paper investigates the photoconductivity of polycrystalline cadmium sulfide films over wavelengths from 225 to 700 nm as a function of preparation conditions. More than 600 films were deposited on insulating substrates in vacuum, argon, or hydrogen sulfide, with varied substrate temperature and…