Faculty of Physics
M.V.Lomonosov Moscow State University
Theoretical and mathematical physics

## Interaction between a lepton and a Higgs boson in a strong magnetic field

### V.Yu. Lin'kov, I.A. Obukhov, V.C. Perez-Fernandez, V.R. Khalilov

Moscow University Physics Bulletin 1988. 43. N 2. P. 1

The Weinberg-Salam model has been used to examine the effects of Higgs bosons on lepton motion in a magnetic field in the second order of perturbation theory with respect to the electroweak interaction constant.

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## Supersymmetric $\sigma$-model manifold parallelizability as a consequence of current conservation

### V.V. Belokurov, M.Z. Iofa

Moscow University Physics Bulletin 1988. 43. N 2. P. 5

It is shown that field manifold parallelizability follows from the conditions for current conservation in a two-dimensional supersymmetric $\sigma$-model containing a Vessa-Zumino turn.

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## Traveling waves in an inhomogeneous oscillation medium

### A.S. Mikhailov, G. Rasul

Moscow University Physics Bulletin 1988. 43. N 2. P. 10

A traveling wave is considered in an inhomogeneous self-oscillating medium; the wave is partially reflected at the boundary between two regions differing in oscillation frequency.

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## The second moment of the magnetic field in a multiscale flow

### N. Akanbaev

Moscow University Physics Bulletin 1988. 43. N 2. P. 15

An equation is derived for the second moment of the magnetid field in a random multiscale velocity pattern. An asymptotic study is made for an isotropic multiscale flow having mirror symmetry.

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## Optical cross modulation in nematic liquid-crystal films: application to $\chi ^{(3)}$ dispersion measurement on Rayleigh-line flank

### F.N. Gadzhiev, N.I. Koroteev, G.A. Paityan

Moscow University Physics Bulletin 1988. 43. N 2. P. 27

Amplitude modulation is transferred from one laser beam to another in a planar-oriented mixture of nematic liquid crystals to determine the dispersion in the cubic nonlinearity $\chi ^{(3)}$ at a Rayleigh-line flank with a resolution of a few Hz. The anomalously large values are due in part to the collective behavior in the orientation ordering and in part to the anomalously large $\partial {\epsilon} / \partial T$ and dichroism. Measurements have been made on $x_{ijk}^{3}$, relaxation time, elastic moduli, and thermal diffusivity parallel and transverse to the liquid-crystal director.

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## Acoustic nonlinearity in gadolinium molybdate

### L.K. Zarembo, G.P. Morozova, O.Yu. Serdobol'skaya

Moscow University Physics Bulletin 1988. 43. N 2. P. 60

Measurements have been made on the critical behavior of the second-harmonic amplitude in gadolinium molybdate; they agree with theoretical results obtained from the renormalization-group method. The irregular steps in the amplitude at the second harmonic and the phase steps at the fundamental in the range 80-140°C are due to polarization.

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Atomic and nuclear physics

### I.P. Ivanenko, V.V. Sizov

Moscow University Physics Bulletin 1988. 43. N 2. P. 21

The moment method as widely used in cascade theory is extended: scattering and realistic cross sections for other elementary interactions are introduced. A cascade inlet is used in examining the physical and mathematical accuracies.

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Optics and spectroscopy

## Temperature-dependent energy transfer: two-component dye solutions

### A.N. Ponomarev, A.M. Saletskii, V.I. Yuzhakov

Moscow University Physics Bulletin 1988. 43. N 2. P. 33

Excitation transfer has been examined for two-component ethanolic dye solutions at various temperature. Molecular association and inhomogeneous broadening affect the migration. The critical radius and the relative rate constants have been determined as functions of temperature.

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## A Monte Carlo study on energy-transfer time dependence in organic complexes

### A.A. Demidov

Moscow University Physics Bulletin 1988. 43. N 2. P. 38

Monte Carlo calculations with high time resolution have been used to detect the time dependence of the energy transfer in a restricted-volume organic complex of phycobilisome type. A variable time step was used in the calculations to detect the active exciton and perform microscopic calculations on the transfer rate.

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## Direct observations on the dynamic Stark effect in two-photon absorption and parametric interaction

### V.V. Krasnikov, M.S. Pshenichnikov, V.S. Solomatin

Moscow University Physics Bulletin 1988. 43. N 2. P. 42

Measurements have been made on the energy shift in the $4s_{1/2}$ level for the sodium atom in linearly and circularly polarized beams in resonance with the $4s_{1/2} – 4p_{1/2,3/2}$ transition. Two-photon absorption and parametric mixing have been used in the probing. The shift, broadening, and splitting of the $4s_{1/2}$ level have been recorded.

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## Optical features of a multifiber $Nd^{3+}$ laser

### M.L. Karpova, L.S. Kornienko, V.V. Radchenko

Moscow University Physics Bulletin 1988. 43. N 2. P. 47

A free-running $Nd^{3+}$ multifiber laser has been examined for subthreshold emission and the effects of end reflections on the energy and threshold parameters. Measurements have been made on the spectrum width, pulse length, and divergence as the pumping energy is varied.

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## Contributions from continuum states to the Raman-scattering cross section for the excited hydrogen atom

Moscow University Physics Bulletin 1988. 43. N 2. P. 52

Perturbation theory is applied to continuum contributions to the Raman-scattering RS cross sections for the hydrogen atom; in some cases, the contributions from continuum states to the scattering cross sections are comparable with those from the discrete spectrum.

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## The relation between lasing and fluorescent radiative transport in a lasing system

### M.B. Levin, M.G. Reva, V.V. Rodchenkova, B.M. Uzhinov

Moscow University Physics Bulletin 1988. 43. N 2. P. 56

Rhodamine 6G has been used with oxazine 17 and cresyl violet, as well as rhodamine C with oxazine 17, to examine the relation between fluorescent radiation transport and lasing as affected by acceptor concentration on laser excitation. Measurements have been made on the acceptor concentrations at which donor lasing ceases, which agree with theoretical estimates derived from the spectra.

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Solid state physics

## Emission-electronics methods in diagnosing high-temperature transition-metal characteristics

### L.Yu. Goloskokova, B.B. Shishkin

Moscow University Physics Bulletin 1988. 43. N 2. P. 64

A temperature dependence is demonstrated for S, the point-defect thermal entropy of formation, and a method is proposed for determining S(T) by measuring the voltage-current characteristics for recombination-emission currents.

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## The static magnetic susceptibility of a polymeric hydrocarbon chain

### M.N. Zubtsov, V.V. Ishchenko

Moscow University Physics Bulletin 1988. 43. N 2. P. 69

A method is given for calculating polymer-chain static magnetic susceptibilities on the basis of simulating the $\pi$-electron density distribution for a hydrocarbo n molecule of any length from the $\pi$-electron distributions for C-C pairs with variable distances between the C ions. The $\sigma$ core susceptibility is incorporated as the sum of the $\sigma$ bonds in the molecule.

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Theoretical and mathematical physics

## Relativistic gravitational theory and spatial topology

### A.A. Vlasov

Moscow University Physics Bulletin 1988. 43. N 2. P. 73

It is shown that the following occur in relativistic gravitational theory: 1) no nontrivial spatial topologies arise in gravitational collapse and 2) there are no models of the universe having nontrivial topology.

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## The Stark shift for electrons localized over liquid helium

### O.F. Dorofeev, B.A. Lysov, O.S. Pavlova

Moscow University Physics Bulletin 1988. 43. N 2. P. 75

The Stark shifts have been calculated for the first three levels for electrons localized over liquid helium in the third order in perturbation theory. The results agree well with measurements for $^4Не$ and $^3Не$.

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Atomic and nuclear physics

## Dirac optical model calculations on elastic proton scattering at 500 Mev by $^{90}Zr$

### Yu.M. Sheinov

Moscow University Physics Bulletin 1988. 43. N 2. P. 78

Calculations are presented on the differential cross section and polarization characteristics for elastic proton scattering at $Т_p$ = 500 MeV by $^{90}Zr$ in the eikonal approximation within a relativistic optical model.

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## Argon $3p^53d$ level excitation in the Born distorted-wave approximation

### V.V. Balashov, A.N. Grum-Grzhimailo, A.A. Khrapov

Moscow University Physics Bulletin 1988. 43. N 2. P. 80

Differential and total cross sections have been derived for the excitation of $3p^53d$ ($J = l$) levels in argon by intermediate-energy electrons; electron-photon correlations in emission from these levels via transition to the ground and $Зр^54р$ states are considered.

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Solid state physics

## Effects of $Cr^{3+}$ on magnetization in structure-Y hexaferrites

### L.G. Antoshina, E.G. Kondrat'eva

Moscow University Physics Bulletin 1988. 43. N 2. P. 88

Magnetization measurements have been made on $Ba_2Ni_2Fe_{12-x} Cr_хO_{22}$ (x = 0.0, 1.5, and 3.0). The magnetization is dependent in a complicated fashion on the chromium content. It is suggested that there is noncollinear magnetic ordering in chromium-substituted hexaferrites.

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## The contributions from short-range order and the size effect to Cu-Zn alloy resistivity

### A.A. Katsnel'son, O.V. Kris'ko, V.M. Silonov, T.V. Skorobogatova

Moscow University Physics Bulletin 1988. 43. N 2. P. 91

A model potential has been used in calculating the residual resistivity for Cu + 15 at.% Zn. The size effect has an anomalous influence on the residual resistivity in Cu-Zn alloys (reduces it).

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## Effects of emitter parameters on the resolving power in a scanning tunneling microscope

### S.D. Alekperov, S.I. Vasil'ev, S.P. Molchanov

Moscow University Physics Bulletin 1988. 43. N 2. P. 93

Conditions are considered under which the probe-emitter parameters provide the maximum resolution in a scanning tunneling microscope; a method is described for making emitters with preset features.

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## The magnetocaloric effect and magnetic phase transitions in dysprosium

### S.A. Nikitin, A.M. Tishin, S.E. Bykhover, S.V. Red'ko

Moscow University Physics Bulletin 1988. 43. N 2. P. 96

Measurements have been made on the magnetocaloric effect in a dysprosium single crystal up to 60 kOe. Above 20 kOe, there are two peaks on the temperature-dependence curve. The entropy change in the phase transition has been determined as a function of the field.

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