# Issue 4, 2018

## Evaluation of the Integrated Cross Sections of Reactions of Exclusive Pion and Kaon Electroproduction off Protons in the Resonance Region at Photon Virtualities from 5 to 12 GeV$^2$

## Evaluation of the Integrated Cross Sections of Reactions of Exclusive Pion and Kaon Electroproduction off Protons in the Resonance Region at Photon Virtualities from 5 to 12 GeV$^2$

### E. N. Golovach$^2$, V. A. Klimenko$^1$, E. L. Isupov$^2$, V. I. Mokeev$^4$, B. S. Ishkhanov$^{1,2}$, J. A. Skorodimina$^3$, G. V. Fedotov$^2$, V. Burkert$^4$, R. Gothe$^3$

**73**. N 4. P. 343

The integrated cross sections of the ep → eπ$^+$n, ep → eπ$^0$p, ep → eK$^+$Λ, and ep → eK$^+$Σ$^0$ reactions are evaluated in the energy range of nucleon resonance excitation at photon virtualities Q$^2$ from 5 to 12 GeV$^2$. These exclusive channels will be explored at photon virtualities Q$^2$ > 5 GeV$^2$ for the first time in future experiments with the CLAS12 detector. The cross-section evaluation is based on the extrapolation of exclusive contributions to the inclusive structure functions F1 and F2 from a region of Q2 < 5 GeV$^2$, in which the experimental data are available, to the region of higher Q2. This evaluation of cross sections is of particular importance in the development of the program of experiments with the CLAS12 detector for studying the structure of the ground and excited nucleon states, which may reveal the dynamics of strong interactions in the nonperturbative regime.

Show Abstract## Is David Bohm’s Quantum Mechanics Interpretation Irrefutable?

## Is David Bohm’s Quantum Mechanics Interpretation Irrefutable?

### A. V. Belinsky

**73**. N 4. P. 351

The theoretical bases of the so-called “pilot-wave” concept interpretation of quantum mechanics, as well as the performed and possible experiments to test its adequacy are considered.

Show Abstract## Observational Constraints on the Chaplygin Gas with Inverse Power Law Potential in Braneworld Inflation

## Observational Constraints on the Chaplygin Gas with Inverse Power Law Potential in Braneworld Inflation

### f. Salamate$^1$, I. Khay$^2$, A. SAFSAFI$^3$, M. Bennai$^4$, H. Chakir$^5$

**73**. N 4. P. 405

We study Chaplygin gas as a candidate for inflation in the context of braneworld inflationary model. We investigate this model in the framework of the Randall–Sundrum type II, considering a original and generalized Chaplygin gas. We use inverse power law potential to examine the behavior of some inflationary spectrum parameters such as the spectral index $n_{s}$, the ratio $r$ and the running of the scalar spectral index $dn_{s}/d\text{ln}k$, our results are in agreement with recent observational data for a particular choice of e-folding number N and parameters space of the model.

Show Abstract## Kinematics in the Special Theory of Ether

## Kinematics in the Special Theory of Ether

### K. F. Szostek$^1$, R. -. Szostek$^2$

**73**. N 4. P. 413

The aim of this paper is to show that the Michelson–Morley and Kennedy–Thorndike experiments are not sufficient for justification of the theory of special relativity because these experiments can be explained using another theory in which a universal reference frame exists. In this paper, we derive a novel theory of body kinematics with a universal reference frame. We call this theory the special theory of ether (STE). The reason that the universal reference frame could not be found using the Michelson–Morley and Kennedy–Thorndike experiments is also explained. As well, based on a geometric analysis of the Michelson– Morley and Kennedy–Thorndike experiments, we derive another coordinate and time transformation that differs from the Lorentz transformation. In addition, the transformation law of speed, the formula for the addition of velocities for the absolute velocity, as well as length-contraction and time-dilation formulas are derived. The paper contains only the investigations of the original authors.

Show Abstract## Generation of coherent radiation in close Roentgen band in cascade FEL with two-frequency undulator

## Generation of coherent radiation in close Roentgen band in cascade FEL with two-frequency undulator

### K. V. Zhukovsky

**73**. N 4. P. 364

Generation of X-ray radiation in a cascade self-amplified spontaneous emission free-electron laser (SASE FEL) using the harmonics of a two-frequency undulator is studied. The advanced phenomenological model of a one-pass FEL that accounts for the main losses in real FELs is presented: the electron energy spread in the beam, the beam divergence, diffraction, and the fact that emission losses are greater at higher harmonics than in the main frequency range. The FEL mathematical model was performed using the Mathematica software and calibrated within the experiment carried out at the operating SPARC facility via complex three-dimensional numerical simulations. The phenomenological model is used to analyze FEL dynamics for generation of a high-energy X-ray emission at a relatively short length. It is proposed to use a two-frequency undulator for the initial electron grouping and subsequent frequency multiplication in a cascade FEL with higher harmonic amplification (HGHG). The advantages of the two-frequency undulator are presented for electron grouping at higher harmonics of the undulator radiation (UR). The operation of several types of FEL is simulated with amplification of the seed laser wave frequency in two and three cascades to generate the soft X-ray radiation. A seed laser with a wavelength of 11.43 nm corresponding to the peak reflectivity of mirror coatings with MoRu/Be is proposed for generating the intensive X-ray laser radiation with λ ~ 1.27–3.37 nm. Here, the intensive radiation power reaches 50 MW at a length of only 35 meters; the radiation shows good temporal coherence corresponding to the performance of a low-power seed laser with a lower frequency.

Show Abstract## Interaction Energies in Sistems of Three Organic Molecules versus their Structures and Mutual Induction

## Interaction Energies in Sistems of Three Organic Molecules versus their Structures and Mutual Induction

### V. V. Komarov

**73**. N 4. P. 372

A method of analysis interaction energies in three-molecular nanocluster containing hydrocarbon moleculas with double carbon-carbon bonds. One of the molecule (pentene) has dipole moment, others (aromatic volecules) has no dipole moments. The molecules in the considered nanocluster are bounded by long-range dispersion and induction forces with Coulomb repulsive forces at short intermolecular distances. Analytical expressions for calculations of intermolecular forces versus intermolecular distances were obtained in the frame of the presented method with Colomb repulsive taking into account. By this, specific charge properties of the double bonds, which leads to the rest positive charges of the carbon atoms, were considered. It was shown, that the summing interaction energies reached their minimum by smaller intermolecular distances in the considered three-molecular hydrocarbon nanocluster comparing to the two - molecular isolated nanocluster consisted from the same molecules

Show Abstract## Bacteriochlorophyll Fluorescence of Green Sulfur Bacteria in Anaerobic Zone of Two Natural Water Bodies

## Bacteriochlorophyll Fluorescence of Green Sulfur Bacteria in Anaerobic Zone of Two Natural Water Bodies

### A. V. Kharcheva$^1$, A. A. Zhiltsova$^1$, O. N. Lunina$^2$, E. D. Krasnova$^3$, D. A. Voronov$^{4,5}$, A. S. Savvichev$^2$, S. V. Patsaeva$^1$

**73**. N 4. P. 377

Absorption and fluorescence spectra for living cells of green sulfur bacteria inhabiting the anaerobic zone of two meromictic lakes separated from the White Sea have been studied. The spectral-optical properties of pure cultures of green-colored and brown-colored species of green sulfur bacteria Chlorobium phaeovibrioides have been compared, and the content of bacteriochlorophyll molecules in one bacterial cell of each species has been estimated. The method of separating the contributions of different groups of green sulfuric bacteria to bacteriochlorophyll fluorescence was applied for a mixture of two species of bacteria with different pigmentation. The depth distributions of fluorescence intensity and concentration of bacteriochlorophylls for microorganisms inhabiting the Trekhtzvetnoe and Elovoe lakes at the Kandalaksha Gulf of the White Sea were plotted.

Show Abstract## Improving the Accuracy of Broad-Band Monitoring of Optical Coating Deposition

## Improving the Accuracy of Broad-Band Monitoring of Optical Coating Deposition

### T. F. Isaev, I. V. Kochikov, D. V. Lukyanenko, A. V. Tikhonravov, A. G. Yagola

**73**. N 4. P. 382

A method for improving the accuracy of the broad-band monitoring of the process of depositing optical coatings is proposed. The method is based on determining the actual set of thicknesses of deposited layers in the deposition process. The effectiveness of the proposed approach is demonstrated in a series of model numerical experiments using a simulator of deposition process.

Show Abstract## Studying the Concentration Dependences of IR Spectra for Aqueous Solutions of Alkali Metal Chlorides at a Negative Temperature

## Studying the Concentration Dependences of IR Spectra for Aqueous Solutions of Alkali Metal Chlorides at a Negative Temperature

### A. V. Koroleva, V. K. Matveev

**73**. N 4. P. 388

In this work, the concentration dependences of IR spectra were studied for aqueous LiCl, NaCl, RbCl, and CsCl solutions within the range from 4 to 0.2 M and an aqueous KCl solution within the range from 3 to 0.2 M at a temperature of –3.5°C in the middle IR region. The wavenumbers of the absorption band maxima were determined for stretching (ν1, ν3), combined (ν2 + νL), and bending ν2 vibrations at these concentrations. The established trends of the shift in the considered absorption bands provided a basis to make several conclusions about the structural transformations of the studied solutions with a decrease in concentration within the studied range. The calculations demonstrated an increase in the energy of hydrogen bonds between water molecules and their reduction in length with decreasing concentration for all of the studied solutions.

Show Abstract## The Critical Behavior of the Antiferromagnetic Ising Model with Long-Range Interaction Effects

## The Critical Behavior of the Antiferromagnetic Ising Model with Long-Range Interaction Effects

### S. V. Belim, I. B. Larionov

**73**. N 4. P. 394

In this paper, the antiferromagnetic Ising model with ferromagnetic long-range interaction is modeled by the Monte Carlo method. The case of ferromagnetic long-range forces decreasing by a power law is considered. The dependence of the phase-transition temperature on long-range interaction parameters is obtained. The phase diagram was constructed at different values of long-ran

Show Abstract## The Stability Criterion of a Semiconductor Superlattice in the Drift–Diffusion Approximation

## The Stability Criterion of a Semiconductor Superlattice in the Drift–Diffusion Approximation

### В. Ч. Жуковский$^1$, Н. С. Прудских$^2$, С. Е. Головатюк$^2$, В. Д. Кревчик$^3$, М. Б. Семенов$^3$, A. V. Shorokhov$^2$

**73**. N 4. P. 398

A criterion for the electric stability of a semiconductor superlttice placed in a longitudinal electric field has been obtained using the drift–diffusion approximation. It is demonstrated that the account for the contact ohmicity yields a stability criterion that is different from that related to the negative differential conductivity.

Show Abstract## The Effect of an Iodine-Free Diet on the Pharmacokinetics of the $^{211}$At Preparation

## The Effect of an Iodine-Free Diet on the Pharmacokinetics of the $^{211}$At Preparation

### O. A. Yuminov$^1$, D. A. Bondarenko$^2$, V. A. Drozdov$^1$, D. O. Eremenko$^{1,3}$, A. N. Murashev$^2$, A. A. Pashalov$^1$, S. Yu. Platonov$^{1,3}$, O. V. Fotina$^{1,4}$

**73**. N 4. P. 401

The pharmacokinetics of the Astatine-211 radiopharmaceutical was investigated after a single injection in male SD (Sprague–Dawley) rats that had normal and iodine-free diets. Twelve groups of SD male rats were examined in the study. The tested drug was intravenously injected into the tail vein of the animals once at a volume of 10 mL/kg and dose of 100 μCi per animal. In the study, the animals were subjected to necropsy at specific time points with retrieval of the organs and tissues for further analysis of the activity of the samples using a well-type scintillation gamma spectrometer. It was found that the $^{211}$At absorption by the thyroid in the male rats that had an iodine-free diet was greater than in the rats that had a conventional diet.

Show Abstract## GNSS Reflectometry of the Black Sea Level in the Experiments at the Stationary Oceanographic Platform

## GNSS Reflectometry of the Black Sea Level in the Experiments at the Stationary Oceanographic Platform

### A. M. Padokhin$^1$, G. A. Kurbatov$^1$, M. O. Nazarenko$^1$, V. E. Smolov$^2$

**73**. N 4. P. 422

The results of sea level estimation by GNSS reflectometry (GNSS-R) in the Black Sea in the experiments at the stationary oceanographic platform are presented. The influence of the layout of the antennas and the characteristics of the wind waves on the GNSS-R sea level estimates is studied with the use of multi-antenna GPS/GLONASS receiver and wire resistance wave gauge. For the selected geometry of the experiment, the threshold amplitudes and frequencies of the wind waves at which estimation of the sea level by GNSS reflectometry becomes impossible are determined.

Show Abstract## The Influence of the Duration of Wind Impact on the Formation of Currents and a Thermal Bar in a Freshwater Reservoir over the Period of Melting of the Ice Cover

## The Influence of the Duration of Wind Impact on the Formation of Currents and a Thermal Bar in a Freshwater Reservoir over the Period of Melting of the Ice Cover

### N. S. Blokhina

**73**. N 4. P. 428

The impact of wind of different strengths, directions, and durations on the development of a thermal bar and accompanying currents in reservoirs over the period of ice cover melting was studied using mathematical modeling. It is shown that as the duration of the wind impact on the reservoir increases, the role of energy exchange at the water-air interface in the formation of currents in the reservoir increases. The passage of surface waters through the temperature of maximum density (4°C) leads to the formation of a thermal bar and convective structures to the right and to the left of it. In this case, the increase in the energy exchange as the duration of the wind grows occurs with different degrees of intensity on different sides of the thermal bar. In certain hydrometeorological situations (when the wind is directed offshore) this can increase the intensity of the convective vortex in the deep part of the reservoir and weaken it in the shore part, which will slow the propagation of the thermal bar towards the center of the reservoir.

Show Abstract## Numerical Modeling of the Effect of Inflow Water Mineralization in the Dynamics of the Autumnal Thermal Bar in Kamloops Lake

## Numerical Modeling of the Effect of Inflow Water Mineralization in the Dynamics of the Autumnal Thermal Bar in Kamloops Lake

### B. O. Tsydenov

**73**. N 4. P. 435

The results of numerical modeling of hydrodynamic processes that occur during the period of existence of an autumnal thermal bar in Kamloops Lake, Canada are presented. These results were obtained using a nonhydrostatic 2.5D model in the Boussinesq approximation with allowance for the diurnal variability of radiative and turbulent heat fluxes at the surface of the lake. A series of numerical experiments with various values of water mineralization in the Thompson River have been performed. The calculations show that the mineralization of inflow river waters has a significant effect on the dynamics of horizontal movements of the thermal front and on the pattern of circulation flows induced by the thermal bar during the period of lake cooling.

Show Abstract## The Features of Hydroabrasive Cutting of Honeycomb Panels of Space Vehicles

## The Features of Hydroabrasive Cutting of Honeycomb Panels of Space Vehicles

### A. A. Ilukhina$^1$, V. I. Kolpakov$^1$, A. L. Galinovsky$^1$, A. V. Khakhalin$^2$

**73**. N 4. P. 441

We substantiate the recommendations for improving the efficiency of hydro- and hydroabrasive cutting of the honeycomb structures that are widely used in aircraft and rockets, obtained by numerical solving of the spatial dynamic problem with allowance for the physico-mechanical and kinematic parameters of a high-speed jet, the physico-mechanical and structural parameters of the treated honeycomb structure, and the parameters of the technological treatment (feeding and the impact angle of the jet with the face surface of the blanks). A physico-mathematical model and a method of numerical analysis of the process have been developed. The influence of the above parameters on the quality of the surfaces of the treated blanks is illustrated. The results of the calculations are compared with the experimental data.

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