V. Petrov

The Compact Muon Solenoid (CMS) detector is described. The detector operates at the Large Hadron Collider (LHC) at CERN. It was conceived to study proton-proton (and lead-lead) collisions at a centre-of-mass energy of 14 TeV (5.5 TeV nucleon-nucleon) and at luminosities up to 1034 cm−2 s−1 (1027 cm−2 s−1). At the core of the CMS detector sits a high-magnetic-field and large-bore superconducting solenoid surrounding an all-silicon pixel and strip tracker, a lead-tungstate scintillating-crystals electromagnetic calorimeter, and a brass-scintillator sampling hadron calorimeter. The iron yoke of the flux-return is instrumented with four stations of muon detectors covering most of the 4π solid angle. Forward sampling calorimeters extend the pseudorapidity coverage to high values (|η| ⩽ 5) assuring very good hermeticity. The overall dimensions of the CMS detector are a length of 21.6 m, a diameter of 14.6 m and a total weight of 12500 t.

An explicit form for the charmed quark fragmentation function DCc(z) into hadrons has been obtained with the help of the “reciprocity relation” and the c-quark distribution function in charmed mesons (the function calculated in terms of the Kuti-Weisskopf model). DCc(z) turns out to peak mainly at z close to 1. The analysis of new data on muon pair production in neutrino reactions points to such a behaviour of the DCc(z) function. The obtained fragmentation function, contrary to those, used earlier, leads to a charmed particle (average) multiplicity in e+e−-annihilation independent of energy.

This is a critical reconsideration of the standard way of account for Coulomb-nuclear interference in elastic scattering amplitude.

The book presents the most general methods for solving inventive problems and obtaining new ideas. It quotes traditional technology for problem solving, based on trials and errors method. Describes the general idea of TRIZ. Describes the main notions of system approach, like system thinking.

The values of the parameters ρpp,σtotpp and Bpp extracted in the region of Coulomb-nuclear interference (CNI) in the ATLAS and TOTEM experiments at energy s=13 TeV are studied based on the general expression for the Coulomb-nuclear amplitude. Due to the significant differences between these data, we undertake both their joint analysis and the retrieval of parameter values separately for each experiment. A significant incompatibility of these parameters published by the ATLAS and TOTEM experiments is shown. This is especially noticeable in the case of σtot and the situation is similar to what once happened at the TEVATRON: the values of σtotATLAS with account of errors do not overlap with σtotTOTEM.

An analysis of the Coulombic amplitude and its interference with the nuclear amplitude which is driven by the three-component Pomeron is presented. It is shown that different approaches towards the Coulomb phase evaluation give approximately uniform result at all energies and the difference is negligible at RHIC and LHC energies. We show that the use of the amplitude which was fitted to accomodate nucleon data only (in the region 0.01 < |t| < 14.5 (GeV^2)) combined with the Coulomb amplitude, reproduces the existing data in the Coulomb interference domain quite accurately without any adjustement of the parameters. As a consequence, we predict the differential cross section in the region of the Coulomb nucleon interference for both RHIC and LHC energies.

We discuss an apparent correlation between the onset of the rising regime for the total cross-sections and the slowdown of the rise of the forward slopes with energy. It is shown that even at highest energies achieved with the LHC the proper sizes of the colliding protons comprise the bulk of the the interaction region. This seems to witness that the "asymptopia" - a hypothetical "truly asymptotic" regime - lies at energies no less than $\mathcal{O}$(100 TeV). In the course of reasoning we also discuss the question of the dependence of the effective sizes of hadrons in collision on the type of their interaction.

The performance of prototypes for the ALICE electromagnetic sampling calorimeter has been studied in test beam measurements at FNAL and CERN. A 4×4 array of final design modules showed an energy resolution of about 11%/E(GeV)⊕1.7% with a uniformity of the response to electrons of 1% and a good linearity in the energy range from 10 to 100 GeV. The electromagnetic shower position resolution was found to be described by 1.5mm⊕5.3mm/E(GeV). For an electron identification efficiency of 90% a hadron rejection factor of >600 was obtained.

We provide a detailed reconsideration of the theoretical basis for the treatment of Coulomb-nuclear interference (CNI) and a corresponding thorough analysis of the procedure of extraction of the basic parameters $\rho^{~pp}, \sigma_{tot}^{~pp}$ and $B^{~pp}$ from the TOTEM data at $\sqrt{s} = 13$ TeV. A more substantiated account of CNI, as well as an in-depth statistical analysis of the TOTEM data at low transferred momenta, give results that differ from those published by the TOTEM collaboration.

Exclusive Double Diffractive Events (EDDE) are analysed as the source of information about the central system.Experimental possibilities for exotic particles searches are considered.From the reggeized tensor current picture some azimuthal angle dependences were obtained to fit the data from WA102 experiment and to make predictions for LHC collider.

We propose an experiment at the LHC with leading neutron production.The latter can be used to extract from it the total $\pi^+ p$ cross-sections. With two leading neutrons we can get access to the total $\pi^+\pi^+$ cross-sections. In this note we give some estimates and discuss related problems and prospects.

The original article can be found.

We argue that the account of Coulomb-nuclear interference (CNI) in the differential cross-section of elastic $ pp $ scattering may be easily treated without introduction of intermediate IR regularization ("photon mass"). We also indicate that the parametrization used earlier misses some terms of the second order in $ \alpha $ while it contains a superfluous term of the first order.

We propose a measurement of leading neutrons spectra at LHC in order to extract inclusive $\pi^+ p$ and $\pi^+\pi^+$ cross-sections with high $p_T$ jets production. The cross-sections for these processes are simulated with the use of parton distributions in hadrons. In this work we estimate the possibility to extract parton distributions in the pion from the data on these cross-sections and also search for signatures of fundamental differences in the pion and proton structure.

A triple-stack MRPC for the TOF system of the [email protected] and the MPD experiments at the future collider NICA was tested. We use three stacks of glass to have symmetrical construction which allows to decrease dispersion and reflections of the signal from the readout strip.

We present a novel device for generating suspension droplets and studying droplet impact against solid substrates. The proposed droplet generator extends beyond previous designs by introducing hydraulic machinery that includes separate hydraulic and test containers. This eliminates mixing between the test liquid and the hydraulic liquid above the latch that connects the two containers, thus ensuring reliable clogless operation. The device can produce droplets of controllable sizes between 0.75 and 4.4 mm, and droplets can contain suspension particles of 45 μm to 300 μm size. Repeatability tests show that, at constant control parameters, the median relative droplet size deviation from the target value is ±0.9% and the maximum relative deviation is ±9.1%. We also explore different collision scenarios, which we change from spreading to bouncing by varying the substrate wettability. In addition, the shape of the stain and the resulting spatial distribution of particles are found to be sensitive to particle size.

We present the results on non-perturbative quantum gravity effects related to extra dimensions which can be comparable, in some cases, with the SM contributions, e.g. in lepton-lepton or lepton-nucleon scattering. The case of cosmic neutrino gravitational interaction with atmospheric nucleons is considered in detail.

A review is given of low-temperature studies of the properties of the two-dimensional electron gas in inversion layers on high-index Si surfaces. The long crystallographic periods associated with such surfaces produce the superlattice effect in the spectrum of the quasi-two-dimensional electron gas. The kinetic coefficients are found to exhibit singularities when the Fermi level and minigaps cross. This was established by measuring the static and the high-frequency conductivities, the Shubnikov-de Haas oscillations, the photoresistivity, the emission of thermal electrons, and the cyclotron resonance in n-type inversion layers near (001) for electron concentrations in the range 1012 – 1014 cm−2. The minigap width varies from 1 to 20 meV, depending on the electron concentration. The position of the minigaps in K-space (but not their size) is in quantitative agreement with theory.

The nonlinearity of Regge trajectories at real negative values of the argument is discussed as their general QCD-inspired property. The processes of elastic diffractive scattering $p+p\to p+p$ and $\bar p+p\to\bar p+p$ at collision energies $\sqrt{s}>23 GeV$ and transferred momenta squared $0.005 GeV^2<-t<3 GeV^2$ are considered in the framework of the Regge-eikonal model \cite{arnold}. By comparison of phenomenological estimates with available experimental data on angular distributions it is demonstrated that in this kinematical range the data can be satisfactorily described as if taking into account only three nonlinear Regge trajectories with vacuum quantum numbers (``soft'' pomeron, C-even $f_2/a_2$-reggeon and $C$-odd $\omega/\rho$-reggeon). It is also shown that their nonlinearity is essential and not to be ignored. The correspondence of the Kwiecinski $q\bar q$-pole \cite{kwiecinski} to the secondary reggeons and the relevance of the Kirschner-Lipatov ``hard'' pomeron pole \cite{kirschner} to elastic diffraction are discussed.

We discuss the possibility of measuring leading neutron production at the LHC. These data could be used to extract from it $\pi^+ p$ and $\pi^+\pi^+$ cross-sections. In this note we give some estimates for the case of elastic cross-sections and discuss related problems and prospects.

The ISR and the 7 TeV LHC data indicate that the differential cross-section of elastic proton–proton scattering remains almost energy-independent at the transferred momentum t≈−0.21GeV2 at the level of ≈7.5 mb/GeV2. This property of dσ/dt (the “first” stationary point) appears due to the correlated growth of the total cross-section and the local slope parameter and can be expressed as a relation between the latter quantities. We anticipate that this property will be true up to 13 TeV. This enables us to normalize the preliminary TOTEM data for dσ/dt at 13 TeV and 0.05<|t|<3.4GeV2 and predict the values of dσ/dt at this energy. These data give an evidence of the second stationary point at t≈−2.3GeV2 at the level of ≈33 nb/GeV2. The energy evolution of dσ/dt looks as if the high energy elastic scattering amplitude is a sum of two similar terms. We argue that the existence of the two stationary points and the two-component structure of the high energy elastic scattering amplitude are general properties for all elastic processes.

Charged particle multiplicities ine + e − annihilation into hadronic states have been studied. Events with light and heavy initial quarks are treated separately. Particular attention is paid to multiple production int $$\bar t$$ events at LEP energies.

The experimentally measurable effects related to extra dimensional gravity in a RS-type brane world are estimated. Two options of the RS framework (with small and large curvature) are considered. It is shown that physical signals of both can be detected by the joint experiment of the CMS and TOTEM Collaborations at the LHC.

Exclusive double diffractive (EDD) Higgs boson production is analyzed in the framework of the Regge-eikonal approach. Total and differential cross-sections for the process $p + p\to p + H + p$ are calculated. Experimental possibilities to find the Higgs boson at LHC are discussed.

We discuss the shape of the interaction region of the elastically scattered protons stipulated by the high-energy Pomeron exchange which turns out to be very similar with the shape of the static string representing the confining QCD flux tube. This similarity disappears when we enter the LHC energy region, which corresponds to many-Pomeron exchanges. Reversing the argument we conjecture a modified relationship between the width and the length of the confining string at very large lengths.

We analyse the difference in the energy behaviour of hadron multiplicities associated withe + e − events induced by light and heavy quarks in the framework of two approaches: the so-called Naïve Model and the QCD-motivated one. Expectations of both approaches are presented in comparison with the existing data (LEP, SLC).

We study the possibilities to analyse the data on leading neutrons production at first LHC runs. These data could be used to extract from it π + p and π + π + cross-sections. In this note we estimate relative contributions of π, ρ and a 2 reggeons to charge exchanges and discuss related problems of measurements.

Diffractive dissociation processes are analysed in the framework of covariant reggeization. We have considered the general form of hadronic tensor and its asymptotic behaviour for $t\rightarrow 0$ in the case of conserved tensor currents before reggeization. Resulting expressions for differential cross-section of single dissociation (SD) process ($pp \rightarrow p M$), double dissociation (DD) ($pp\rightarrow M_1 M_2$) and for the proton-Pomeron cross-section are given in detail, and corresponding problems of the approach are discussed.

In this paper it is shown that a measurement of the relative luminosity changes at the LHC may be obtained by analysing the currents drawn from the high voltage power supplies of the electromagnetic section of the forward calorimeter of the ATLAS detector. The method was verified with a reproduction of a small section of the ATLAS forward calorimeter using proton beams of known beam energies and variable intensities at the U-70 accelerator at IHEP in Protvino, Russia. The experimental setup and the data taking during a test beam run in April 2008 are described in detail. A comparison of the measured high voltage currents with reference measurements from beam intensity monitors shows a linear dependence on the beam intensity. The non-linearities are measured to be less than 0.5 % combining statistical and systematic uncertainties.

The full-scale scientific research complex IREN will comprise a 200-MeV linear accelerator LUE-200 with a beam power about 10 kW, a subcritical multiplying target, and beam infrastructure with experimental pavilions, as well as technological, control, safety and service systems. The characteristics of the full-scale complex IREN (integral neutron yield 1015n/s and pulse width 0.6 μs) will allow it to rank among the best neutron sources of such class GELINA (Belgium) and ORELA (USA). The realization of the project is conducted in several stages. The first stage includes the construction of the LUE-200 linear accelerator and nonmultiplying target. This will make possible to carry out experiments which require precision neutron spectroscopy in the energy range from fractions of eV to hundreds of eV already at the first stage of IREN. The results of the physical start-up of the first stage of IREN facility at the Frank Laboratory of Neutron Physics of the Joint Institute for Nuclear Research are presented. General scheme and current status of the electron linac are described. Achieved parameters are: pulsed electron beam current – 2.0 A; electron energy – 30 MeV; pulse width – 100 ns; repetition rate – 25 Hz; integral neutron yield (3÷5)•1010 n/s.

This note highlights the predictive power of the 3-component Pomeron model designed by the authors ten years ago with a partial account of the multiplicity of Pomerons in QCD. The model is put to the test by comparing its predictions with the recent data from DO and TOTEM Collaborations at 1.96 and 7 TeV, respectively. We also compare model predictions for inelastic cross section to experimental measurement by TOTEM, CMS, ALICE, and ATLAS collaborations. It is shown that the DO data are perfectly predicted by the model. Total, elastic, and inelastic cross section predictions are in agreement with the measurements by TOTEM, CMS, ALICE, and ATLAS Collaborations. Differential cross section data at 7 TeV show slight disagreement with predictions of the model in high-$t$ region. Discussions on the origin of the disagreement and conclusions are presented.

In this paper, we describe optical feedback system of VUV Regenerative FEL Amplifier (RAFEL) at the TESLA test facility at DESY. The aim of the RAFEL experiment is to construct fully coherent, tunable VUV radiation source by means of applying narrow-band optical feedback in the VUV SASE FEL operating currently at DESY. One of the problem of the realization of the RAFEL is severe requirements for the angular stability of the optical elements (about few microradians). This problem has been solved by means of installation of active alignment system with reference laser. Another problem is alignment of optical elements separated by 65m within complicated experimental conditions connected with aperture limitations (down to 6mm). This problem has been solved in two steps. Preliminary alignment with an accuracy of about 80μrad has been performed with laser alignment system and OTR screens used at the TTF accelerator for electron beam diagnostics. Final alignment has been performed with VUV SASE FEL radiation. Measured feedback coefficient is about 1 percent and is in agreement with the designed value.

We generalize the Froissart–Martin upper bound for the scattering amplitude in spaces with compactified extra dimensions.

Exclusive double diffractive events (EDDE) are considered in the framework of the Regge-eikonal approach and perturbative calculations for "hard" subprocesses. Total and differential cross-sections for processes $p+p\to p+X+p$ are calculated.

The multiple hadron production in the events induced by the heavy primary quarks in e+e- annihilation is reconsidered with account of corrected experimental data. A new value for the multiplicity in bb̄ events is presented on the basis of pQCD estimates.

Perturbative asymptotics for Regge trajectories at large negative t seem to leed to a contradiction with their proposed string-like behaviour at large positive t, and, more generally, to confined versions of QCD.

In this paper we present an analysis of the multiple hadron production induced by primary heavy quarks in e + e − annihilation with an account of the most complete and corrected experimental data. In the framework of perturbative QCD, new theoretical bounds on the asymptotically constant differences of the multiplicities in processes with light and heavy quarks are given.

With use of a new $ C+N $ amplitude which correctly accounts for CNI to all orders in $\alpha$ the values of the parameters $\rho^{pp},\sigma_{\mbox{tot}}^{pp}$ and $B^{pp}$ are analysed on the basis of data published by the TOTEM and ATLAS collaborations at energy $\sqrt{s}= 13$ TeV . The result of both joint and separate analyses of these data confirmed, in particular, a noticeable difference between the central values of $\sigma^{pp}_{tot}$, as measured by the TOTEM and by the ATLAS-ALFA, reaching up to 8 standard deviations.

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This work is about maritime safety. The paper considers the problem of planning a route for a vessel to cross water areas with heavy traffic. It should be borne in mind that the trajectory of the vessel should be consistent with established navigational practices and collective navigation experience. In this case, it seems productive to plan a route based on data on the movement of other ships that were in the water area earlier (the same idea underlies the methods of "big data" tasks). In the works published earlier, such route planning was based on a cluster analysis of retrospective data on the movement of ships, which involved dividing the water area into sections and highlighting characteristic values of speeds and courses in them. The problem with this approach was the choice of partitioning parameters, which had to be set for each specific water area separately. In this paper, another approach is proposed, when the graph of possible routes includes a selection of the trajectories of individual ships that were previously implemented in the selected water area. This work is a further development of methods for solving the problem of ship route planning in areas with heavy traffic. The proposed method is based on the formation of a graph of possible routes from a set of intersecting broken lines, each of which represents a previously implemented route. Each edge of the graph is assigned a measure of its "popularity", which characterizes the proximity of other edges to it. The shortest path on a weighted graph is constructed considering not only the geometric length of the edges, but also the measure of their "popularity". The route found in this way will lie among the most frequently used trajectories. Samples of route panning for Vladivostok water area are presenting in this paper.

We give a new and simple proof of the inconsistency of the Bethe-West-Yennie parametrization for Coulomb-nuclear interference.

BM@N (Baryonic Matter at Nuclotron) is the first experiment operating and taking data at the Nuclotron/NICA ion-accelerating complex.The aim of the BM@N experiment is to study interactions of relativistic heavy-ion beams with fixed targets. We present a technical description of the BM@N spectrometer including all its subsystems.

The creation of livestock complexes with the introduction of new methods of organization and technologies has led to a wide manifestation of technological stresses in cattle. Stress reduces the natural resistance and the level of humoral immunity, as a result of which conditions are created for the activation of conditionally pathogenic microflora, which leads to digestive disorders, respiratory diseases, decreased productivity, increased morbidity and mortality of animals. Therefore, the analysis of adaptive reactions of blood in cows under technological stress will allow us to assess the state of the body and timely develop measures to prevent emerging disorders. The marker of the general adaptation process is the blood system. The study of the content of leukocytes, erythrocytes, ATP in erythrocytes, electrophoretic mobility of erythrocytes (EFPE) of cattle blood under technological stress.It was shown that in animals after technological stress there was a significant increase in the number of leukocytes on the 3rd- 14th day of the study compared with the control group of animals, the development of neutrophilosis, monocytosis and lymphopenia was noted. The number of red blood cells, hemoglobin concentration, EFPE and ATP content after technological stress were lower compared to the control group for 3 days. Thus, to correct technological stress in cows, means are needed that increase the overall adaptive capabilities of the animal organism.

The study of clinical-hematologic parameters under technological stress at cows and the effect of low-intensity laser radiation (LILR) under technological stress was carried out. The study was carried out on high-yielding Holstein black-breed cows which were modeled technological stress and subsequently exposed to LILR on the withers or ear with exposure time of 5 or 15 depending on the group of animals. LILR with a wavelength of 830 nm was used. The study of hematological parameters of blood under technological stress in animals showed an increase in the number of leukocytes up to 14 days, a decrease in the number of erythrocytes and hemoglobin by 3 days of the experiment relative to the values of intact animals. At action of LILR under technological stress the increase of erythrocytes and hemoglobin in blood was registered. The content of leukocytes in blood corresponded to the level of intact animals, their functional activity increased. The concentration of reduced glutathione in animals under technological stress was decreased throughout the entire observation period. When using LILR under technological stress in animals, changes in reduced glutathione were less pronounced compared to animals after technological stress. When cows were exposed to LILR on the withers, an increase in the content of reduced glutathione in blood was registered. The obtained results indicate that the changes in blood parameters are directed to the activation of compensatory-adaptive reactions of the organism under the action of LILR under technological stress.

Поверхность с высокими кристаллографическими индексами &mdash; сверхрешетка для двумерных электронов, Волков В.А., Петров В.А., Сандомирский В.Б.

The gravity effects in high-energy scattering, described by a four-dimensional eikonal amplitude related to gravireggeons induced by compact extra dimensions are studied. It is demonstrated that the real part of the eikonal (with a massless mode subtracted) dominates its imaginary part at both small and large impact parameters, in contrast with the usual case of hadronic high-energy behavior. The real part of the scattering amplitude exhibits an exponential falloff at large momentum transfer, similar to that of the imaginary part of the amplitude.

A concise survey of problems in modern strong interaction physics at high energies is given.

The average charged hadron multiplicity in the e+e- events with the primary -pair at the collision energy 500 GeV, as well as the average multiplicity of charged hadrons from the top quark are calculated in QCD to be 86.7 ± 1.11 and 41.0 ± 0.54, respectively. PACS Codes: 14.65.Ha, 13.66.Bc, 12.38.Bx

We analyse the basic premises of the `` Froissaron-Maximal Odderon" (FMO) model which was claimed to be ``the only existing model which describes the totality of experimental data ". It is shown that the FMO model suffers from serious theoretical flaws while its quality of the data description is such that the probability that it describes the selected set of data is not satisfactory enough.

This is an improved and extended exposition of the modified formulas for accounting for Coulomb-nuclear interference in hadron scattering which is intended to dispel recently claimed doubts.

This paper is devoted to a problem of the optimal design of the electrodynamic structure of the X-band klystron for a linear collider. It is shown that the optimal design should provide a large aperture and a high power gain, about 80 dB. The most severe problem arising here is that of parasitic self-excitation of the klystron, which becomes more complicated at increasing aperture and power gain. Our investigations have shown that traditional methods for suppressing the self-excitation become ineffective at the desired technical parameters of the klystron. In this paper we present a novel concept of a wide aperture klystron with distributed suppression of parasitic oscillations. Results of an experimental study of the wide-aperture relativistic klystron for VLEPP are presented. Investigations have been performed using the driving beam of the JINR LIA-3000 induction accelerator (E = 1 MeV, I = 250 A, τ = 250 ns). To suppress self-excitation parasitic modes we have used the technique of RF absorbing drift tubes. As a result, we have obtained design output parameters of the klystron and achieved a level of 100 MW output power.

Abstract The similirity and difference of particle production in deep inelastic scattering and e + e − annihilation is discussed. Comparison with the EMC data is given and predictions for higher energies are made.

Памяти Анатолия Алексеевича Логунова, Герштейн С.С., Денисов С.П., Зайцев А.М., Иванов С.В., Матвеев В.А., Мествиришвили М.А., Петров В.А., Рубаков В.А., Садовничий В.А., Славнов А.А., Скринский А.Н., Трутнев Ю.А., Тюрин Н.Е.

We argue that a Regge-pole modification of the VDM puts on equal footing the asymptotic behavior of electromagnetic and neutral vector meson currents.

Exclusive photoproduction of heavy quarkonia at HERA is analyzed in the framework of the Regge-eikonal approach together with the nonrelativistic bound state formalism. Total and differential cross-sections for the process $\gamma+p\to (Q\bar{Q})_{1S}+p$ are calculated. The model predicts cross-sections of Exclusive Double Diffractive Events (EDDE) at TeVatron and LHC.

We argue that the difference between the structure functions corresponding to deep inelastic scattering with and without heavy quarks in the current fragmentation region scales at high Q2 and fixed (low) x Bj.

The processes of exclusive photo- and electroproduction of vector mesons ${\ensuremath{\rho}}^{0}(770)$, $\ensuremath{\phi}(1020)$, and $J/\ensuremath{\psi}(3096)$ at collision energies $30\text{ }\text{ }\mathrm{GeV}&lt;W&lt;300\text{ }\text{ }\mathrm{GeV}$ and transferred momenta squared $0&lt;\ensuremath{-}t&lt;2\text{ }\text{ }{\mathrm{GeV}}^{2}$ are considered in the framework of a phenomenological Regge-eikonal scheme with nonlinear Regge trajectories in which their QCD asymptotic behavior is taken into account explicitly. By comparison of available experimental data from ZEUS and H1 Collaborations with the model predictions it is demonstrated that corresponding angular distributions and integrated cross sections in the above-mentioned kinematical range can be quantitatively described with use of two $C$-even vacuum Regge trajectories. These are the ``soft'' Pomeron dominating the high-energy reactions without a hard scale and the ``hard'' Pomeron giving an essential contribution to photo- and electroproduction of heavy vector mesons and deeply virtual electroproduction of light vector mesons.

Possible modes of asymptotic behavior of the amplitudes of hadron scattering in QCD are discussed. It is shown that the condition of triviality of the scattering matrix when the interaction of the fundamental fields is turned off leads to the impossibility of cross-sections that do not decrease with energy in the case of pure gluodynamics. It is also shown that in the presence of at least one type of massive quark the ban is lifted. Some consequences of the presence of an infrared fixed point are also discussed.

The average hadron multiplicity in deep inelastic scattering at small x is calculated in this paper. Its relationship with the average multiplicity in e+e− annihilation is established. As shown the results do not depend on a choice of the gauge vector. The important role of coherence effects in both space-like and time-like jet evolution is clarified.

The multiplicity of charged hadrons in the current fragmentation region of both the c.m.s. and the Breit frame of deep inelastic scattering is calculated and compared with the HERA data. The results are in agreement with Yang's hypothesis that the efficiency of high energy processes increases at larger momentum transfer, although the effect is rather weak numerically at present values of $Q^2$ .

This is a brief analysis of the basic formula from arXiv:2007.07827. Some inconsistency has been identified.

The difference in the energy dependence of hadron multiplicities in e+e− events induced by heavy and light quarks in the framework of two approaches (Naïve Model, QCD-based Model) is discussed. Results of both approaches for the case of the b-quarks are compared with data from LEP and SLC. Predictions are presented for e+e− events induced by the charm quarks.

Different approaches towards the Coulomb phase evaluation are tested altogether with the nuclear amplitude driven by the three-component Pomeron [V.A. Petrov, A.V. Prokudin, Eur. Phys. J. C 23 (2002) 135-143]. It is shown that the Coulombic amplitude and its interference with the nuclear amplitude are described well by three different approaches at all energies and the difference is negligible at RHIC and LHC energies. The model reproduces the existing data in the Coulomb interference domain quite accurately without any adjustment of the parameters. As a consequence, we predict the differential cross section in the region of the Coulomb nucleon interference for both RHIC and LHC energies.

On the basis of some peculiar scaling properties of the OPE coefficient functions, we give the lower bounds for F2c and F2b independently of the properties of the gluon density function. Predictions for F2b within reach of HERA are made.

A new method for calculating the coefficient functions of the operator product expansion is proposed which does not depend explicitly on elementary fields. Coefficient functions are defined entirely in terms of composite operators. The method is illustrated in the case of QCD nonsinglet operators.

We calculate the forward and backward multiplicities in deep inelastic processes. We obtain the asymptotic values for these multiplicities and discuss an ambiguity of their interpretation in terms of quark-gluon jets in QCD.

Quark mass effects are analyzed at high Q2 in the current fragmentation region of DIS. It is found that the linear combination F 2 -2.75F c 2 scales at large Q2 and small x. We obtained a lower bound for the ratio F c 2/F 2 which lies very close to the data from HERA.

We discuss a curious observation: at energies from the ISR and up to the LHC, inclusively, the differential cross-section of elastic proton-proton scattering remains almost energy-independent at the transferred momentum t =-0.21 GeV^2 at the level of 7,5 mb/GeV^2.The latter value can be considered as a prediction for dsigma/dt at 13 TeV. We also obtain a lower bound for the forward pp slope at 13 GeV.

Петров В. С. Окремі проблеми застосування положень законодавства про примус до виконання обов'язку у натурі / В. С. Петров // Правове життя сучасної України: матеріали Міжнар. наук. конф. проф.-викл. та аспірант. складу / відп. за вип. В. М. Дрьомін; НУ ОЮА, Півд. регіон. центр НАПрН України. – Одеса: Фенікс, 2014. – Т. 1. – С. 453-456.

This is a cursory review of diffractive studies ( mostly elastic scattering)at the LHC with physical interpretation of the experimental data and comments to related problems of theory.

We discussed here the ME properties of ferrite–piezoelectric composites, to create new ME composites with enhanced ME couplings that would enable them for application in functional electronics devices. To address this important scientific and technical goal, a generalization of various theoretical and experimental studies of ME composites has been given. One of the main tasks according to the formulated approach is a comparative analysis of ME composites that have different connectivity types.

MonChER is a Monte Carlo event generator for simulation of single and double charge exchange reactions in proton-proton collisions at energies from 0.9 to 14 TeV. Such reactions, $pp\to n+X$ and $pp\to n+X+n$, are characterized by leading neutron production. They are dominated by $π^+$ exchange and could provide us with more information about total and elastic $π^+ p$ and $π^+π^+$ cross sections and parton distributions in pions in the still unexplored kinematical region.

The basic thesis of this paper is that any system develops in two opposite directions. Therefore, each law of system development should be considered in two opposite directions.

The amplitude of the decay η′ → π+π−γ is derived in the soft limit of the current scheme of η-η′ mixing. The results are compared with experimental values of the phenomenological contribution additive to the ρ-meson contribution.

A special beta applicator was designed for irradiation of amimals. The active layer of the beta applicator contuined 460 mc of Sr/sup 90/ and einitted 25 r per minute on the surface. Mice were irradiated with 65, 125, 250, and 500 r. The percentage of survival was investigated, as well as hematological changes and rapidity of wound healing. (tr-auth)

The problem of determining the effectiveness of capital investment in the national economy of the USSR has been inadequately studied and poorly worked out. This is partly explained by the fact that many authors of works on the problem of effectiveness of capital investment underestimated earlier studies and renewed the investigation of the entire problem. Some of the problems have been sufficiently examined and there is no sense returning to them.

We solve numerically a deconvolution problem to extract the undisturbed spectrum from the measured distribution contaminated by the finite resolution of the measuring device. A problem of this kind emerges when one wants to infer the momentum distribution of the neutral pions by detecting the π0 decay photons using the photon spectrometer of the ALICE LHC experiment at CERN [1]. The underlying integral equation connecting the sought for pion spectrum and the measured gamma spectrum has been discretized and subsequently reduced to a system of linear algebraic equations. The latter system, however, is known to be ill-posed and must be regularized to obtain a stable solution. This task has been accomplished here by means of the Tikhonov regularization scheme combined with the L-curve method. The resulting pion spectrum is in an excellent quantitative agreement with the pion spectrum obtained from a Monte Carlo simulation.

The distribution of dose rate at a flat interface from BETA emitters distributed in semi-infinite media and in a flat layer of finite thickness was calculated, The calculations were made by summating the dose rate from the monoenergetic components, the totality of which approximately makes up the BETA spectrum, The distribution of dose rate was obtained graphically for the entire important interval of the depth of the penetration of electrons. It has been deterrmined that the distribution of dose rate of BETA emission for semi- infinite medium and fiat layers over a considerable interval of depths is of an exponential nature, Simple formulas were accordingly derived for calculating the distribution of dose rate of, BETA emission in the conditions considered, (auth)