Issue 6, 1987
Cosmology in the Einstein-Cartan theory. 1. Spin dynamics
Cosmology in the Einstein-Cartan theory. 1. Spin dynamics
V.A. Korotkii, Yu.N. Obukhov
A study is reported of spin dynamics for a Wayssenhoff liquid in a gravitational field. The following theorem is proved: the nontrivial spin of the Wayssenhoff liquid that satisfies the Frenkel condition is conserved if and only if the liquid moves without acceleration.
Show AbstractRayleigh-Schroedinger coefficients for singular perturbations of the discrete spectrum
Rayleigh-Schroedinger coefficients for singular perturbations of the discrete spectrum
V.B. Gostev, A.R. Frenkin
It is shown that the level shift of the even states in the discrete spectrum, produced by the singular perturbation $\lambda |x|^{-\nu}$, can be described by the standard Rayleigh-Schroedinger formulas only for $0 < \nu < 3/2$.
Show AbstractExact dynamic theories operating on a given background
Exact dynamic theories operating on a given background
A.N. Petrov, A.D. Popova
Exact dynamic theories induced by the subdivision of the variables in the original field theory into a background and a finite dynamic part are constructed. They exhibit a certain nonequivalence under different cases of the subidivied variables. Gauge invariance that follows from displacements in 4-space and dynamic theories in GTR are discussed.
Show AbstractSynchrotron neutrinos at ultrahigh energies
Synchrotron neutrinos at ultrahigh energies
A.V. Borisov, I.A. Kelekhsaeva
The probability of emissioт of a pair of muon neutrinos by an electron moving in a constant magnetic field is determined within the framework of the standard theory of electroweak interactions. The dependence of this probability the electron energy and the external magnetic field is investigated.
Show AbstractTransformation from the Mittag-Leffler expansion to the expansion of the potential of an arbitrary body in the region of its analyticity
Transformation from the Mittag-Leffler expansion to the expansion of the potential of an arbitrary body in the region of its analyticity
N.A. Chuikova
A transformation is found between the function 1/(1 - z) of a complex variable, defined a two-dimensional stellar region, to the reciprocal distance $1/\Delta$ that is a function of a real variable defined in three-dimensional space. Formulas relating the coefficients of the expansion of $1/\Delta$ in terms of spherical functions with the coefficients of the Mittag-Leffler expansion of the corresponding complex function 1/(l - z) are derived.
Show AbstractIntermediate-energy behavior of the helicity of massive Dirac neutrinos when they are scattered by nucleons and its astrophysical aspects
Intermediate-energy behavior of the helicity of massive Dirac neutrinos when they are scattered by nucleons and its astrophysical aspects
B.K. Kerimov, A.M. Mourao, V.P. Tsvetkov
The differential and total cross sections for the elastic scattering of massive Dirac neutrinos by nucleons have been evaluated at intermediate energies ($E_{\nu}\ll M_N$), taking into account the neutrino helicity before and after scattering. The behavior of the neutrino helicity under the conditions prevailing in a neutron star has been investigated.
Show AbstractDetermination of the strength functions for giant multipole resonances in the semimicroscopic model of nuclear vibrations
Determination of the strength functions for giant multipole resonances in the semimicroscopic model of nuclear vibrations
A.N. Gol'tsov, B.S. Ishkhanov, V.N. Orlin
A method is described for calculating the strength functions for giant multipole resonances (GMR). The fragmentation of particle and hole excitations is taken into accountt as is the coupling of the GMR to the continuum. The method is used to calculate the photoabsorption cross section of the nucleus $^{12}C$.
Show AbstractDiffraction radiation produced during the excitation of cyclotron waves in a relativistic electron beam
Diffraction radiation produced during the excitation of cyclotron waves in a relativistic electron beam
V.I. Kanavets, A.V. Fedorov, V.A. Cherepenin
Diffraction radiation generated when fast and slow cyclotron waves are excited in a relativistic electron beam is examined theoretically. The focusing magnetic field $H_0$ is shown to play a fundamental role in this process and that it can be used to control the amplitudes of radiated harmonics in multimode diffraction generators.
Show AbstractRichardson plot for the (110) plane of a tungsten single crystal
Richardson plot for the (110) plane of a tungsten single crystal
E.E. Azizov, V.A. Mashtakova, B.B. Shishkin
Thermionic emission from the (110) plane of a tungsten single crystal was investigated and it was shown that there is a threshold temperature at which the emission parameters determined from the Richardson plot undergo an increase.
Show AbstractDiffraction of acoustic waves by a half-plane parallel to the free surface of a stratified compressible liquid
Diffraction of acoustic waves by a half-plane parallel to the free surface of a stratified compressible liquid
R.R. Gabdullin, A.K. Shatov
An analysis is given of the diffraction of acoustic waves by a rigid-half plane parallel to the free surface of a stratified compressible liquid. The solution is given in the form of an integral whose asymptotic behavior in the far-field zone is examined.
Show AbstractSecond viscosity in a vibrationally nonequilibrium gas
Second viscosity in a vibrationally nonequilibrium gas
A.I. Osipov, A.V. Uvarov
The relevance of the concept of second viscosity in hydrodynamic processes in a nonequilibrium gas is discussed with allowance for the presence of a pump and heat transfer. It is shown that the second viscosity coefficient may be negative under certain particular conditions but this does not affect the overall positive sign of the total production of entropy in the system.
Show AbstractEnhancement of the luminescence of rhodamine 6G in a colloidal solution of silver
Enhancement of the luminescence of rhodamine 6G in a colloidal solution of silver
B.D. Ryzhikov, R.E. Shikhlinskaya
An enhancement of the luminescence and absorption of rhodamine 6G in a colloidal water solution of silver has been found. The enhancement coefficient has been investigated as a function of the optical properties of the colloidal solution, the exciting wavelength, and the thickness of the solution. Electronic resonances in the metal particles are discussed as a possible mechanism of enhancement.
Show AbstractSecular and long-term perturbations of the inner orbit of the multiple system $\xi U.Ma.$
Secular and long-term perturbations of the inner orbit of the multiple system $\xi U.Ma.$
A.A. Orlov, N.A. Solovaya
Perturbations of the inner orbit of the multiple stellar system $\xi U.Ma.$ are calculated usirig formulas derived in previously published papers. Secular changes in the elements $e_1$, $\Omega_1$ and $I_1$ are reported. The results show that the perturbations of the inner orbit are substantial and must be taken into account.
Show AbstractSimulation of back and transmission sputtering of atoms under the ion bombardment of single-crystal and quasiamorphous two-component targets
Simulation of back and transmission sputtering of atoms under the ion bombardment of single-crystal and quasiamorphous two-component targets
V.N. Samoilov, V.A. El'tekov, B. Fritzsch, N.G. Anan'eva
A dynamic model of a block of atoms is used to compare the sputtering parameters of two-component single-crystal and amorphous targets. The simulation is performed for the case of ion bombardment of the (0001) plane of VSi$_2$ single crystal and a corresponding quasiamorphous target with Ne$^+$ ions with energies of 10 keV, incident normally.
Show AbstractMass formulas for charmed baryons
Mass formulas for charmed baryons
L. Gelmi, V.S. Zamiralov, S.N. Lepshokov
The hypothesis of quark-biquark structure of ordinary and charmed baryons can be used to express unambiguously the constants in the mass formulas of the quark models with flavors u, d, s, c in terms of the F- and D-coupling constants in the baryonic symmetry SU(4). The result is generalized to SU(n) symmetry.
Show AbstractLocal cathodoluminescence of graded-gap semiconductors
Local cathodoluminescence of graded-gap semiconductors
V.I. Petrov, E.E. Skvortsova, A.V. Shabalin
An expression is obtained for the spatial distribution of nonequilibrium carriers in a graded-gap semiconductor excited by a focused electron probe. Comparison between calculated and experimental spectra is used to estimate the diffusion length and the reduced surface recombination rate.
Show AbstractQuasisynchronous excitation of plane acoustic waves of finite amplitude by a moving $\delta$-localized source
Quasisynchronous excitation of plane acoustic waves of finite amplitude by a moving $\delta$-localized source
V.E. Gusev
An analytic description is obtained for the generation of nonlinear sound by moving $\delta$-localized sources.
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