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Formation of Galactic Systems in Light of the Magnesium Abundance in Field Stars: The Thin DiskApr 26 2006We analyze the relations between the relative magnesium abundances in stars and their metallicities, Galactic orbital elements, and ages. The relative magnesium abundances in metal-poor ([Fe/H] < -0.4) thin-disk stars have been found to systematically ... More

Stars of extragalactic origin in the solar neighborhoodMar 05 2004We computed the spatial velocities and the galactic orbital elements using Hipparcos data for 77 nearest main-sequence F-G-stars with published the iron, magnesium, and europium abundances determined from high dispersion spectra and with the ages estimated ... More

Young Open Star Clusters: The Spatial Distribution of Metallicity in the Solar NeighborhoodMay 15 2013We perform a comparative analysis of the spatial distribution of young (<50 Myr) open star clusters and field Cepheids with different metallicities. A significant fraction of young clusters are shown to have low metallicities atypical of field Cepheids. ... More

Formation of Galactic Systems in Light of the Magnesium Abundance in Field Stars.III.the HaloJun 23 2006We analyze the relations between the relative magnesium abundances, metallicities, and Galactic orbital elements for halo stars. We show that the relative magnesium abundances in protodisk halo stars are virtually independent of metallicity and lie within ... More

Two populations among the metal-poor field RR Lyrae starsNov 12 2002We compute the spatial velocity components and the galactic orbital elements for 209 metal-poor $([Fe/H] < -1.0)$ RRLyrae (ab) variable stars in the solar neighborhood using proper motions, radial velocities, and photometric distances available in the ... More

Formation of Galactic Systems in Light of the Magnesium Abundance in Field Stars: The Thick DiskJul 06 2005The space velocities and Galactic orbital elements of stars calculated from the currently available high-accuracy observations in our summary catalog of spectroscopic magnesium abundances in dwarfs and subgiants in the solar neighborhood are used to identify ... More

Stellar Objects of Extragalactic Origin in the Galactic HaloOct 24 2007We identified globular clusters and field stars of extragalactic origin and investigated their chemical, physical, and kinematical properties. This objects as supposed was captured by the Galaxy at different times from debris of the dwarf satellite galaxies ... More

A Compiled Catalogue of Spectroscopically Determined Elemental Abundances for Stars with Accurate Parallaxes. I.MagnesiumMar 28 2005Mar 30 2005We present a compiled catalogue of effective temperatures, surface gravities, iron and magnesium abundances, distances, velocity components, and orbital elements for stars in the solar neighborhood. The atmospheric parameters and iron abundances are averages ... More

Distant globular clusters with anomalously small massesJan 16 2003We found that 10 metal-poor globular clusters are greately distinguished for anomalously small masses on the "destruction rate--mass" plain. As it turned out, these poor clusters, situated 15 kpc farther from the Galactic centre, are somewhat younger ... More

Relationship between the Elemental Abundances and the Kinematics of Galactic-Field RR Lyrae StarsDec 20 2017Data of our compiled catalog containing the positions, velocities, and metallicities of 415 RR~Lyrae variable stars and the relative abundances [el/Fe] of 12~elements for 101 RR~Lyrae stars, including four $\alpha$~elements (Mg, Ca, Si, and Ti), are used ... More

Relationship between the Velocity Ellipsoids of Galactic-Disk Stars and their Ages and MetallicitiesAug 10 2009The dependences of the velocity ellipsoids of F-G stars of the thin disk of the Galaxy on their ages and metallicities are analyzed based on the new version of the Geneva-Copenhagen Catalog. The age dependences of the major, middle, and minor axes of ... More

Evolution of the Velocity Ellipsoids in the Thin Disk of the Galaxy and the Radial Migration of StarsApr 08 2011Data from the revised Geneva--Copenhagen catalog are used to study the influence of radial migration of stars on the age dependences of parameters of the velocity ellipsoids for nearby stars in the thin disk of the Galaxy, assuming that the mean radii ... More

The Chemical Composition of Globular Clusters of Different Nature in our GalaxyApr 12 2019A catalog of Galactic globular clusters has been compiled and used to analyze relations between the chemical and kinematic parameters of the clusters. The catalog contains positions, distances, luminosities, metallicites, and horizontal-branch morphology ... More

Two Populations of Open Star Clusters in the GalaxyDec 07 2012Based on our compiled catalogue of fundamental astrophysical parameters for 593 open clusters, we analyze the relations between the chemical composition, spatial positions, Galactic orbital elements, age, and other physical parameters of open star clusters. ... More

Star Formation History in the Galactic Thin DiskOct 26 2007The behavior of the relative magnesium abundances in the thin-disk stars versus their orbital radii suggests that the star formation rate in the thin disk decreases with increasing Galactocentric distance, and there was no star formation for some time ... More

Masses of RR Lyrae Stars with Different Chemical Abundances in the Galactic FieldMar 28 2019The surface gravities and effective temperatures have been added to a compilative catalog published earlier, which includes the relative abundances of several chemical elements for 100 field RR Lyrae stars. These atmoshperic parameters and evolutionary ... More

Heterogeneity of the Population of Open Star Clusters in the GalaxyDec 07 2012Based on published data, we have compiled a catalogue of fundamental astrophysical parameters for 593 open clusters of the Galaxy. In particular, the catalogue provides the Galactic orbital elements for 500 clusters, the masses, central concentrations, ... More

The Age-Metallicity Relation in the Thin Disk of the GalaxyJul 08 2011HST trigonometric distances, photometric metallicities, isochronic ages from the second revised version of the Geneva--Copenhagen survey, and uniform spectroscopic Fe and Mg abundances from our master catalog are used to construct and analyze the age--metallicity ... More

Peculiarities of the abundances of neutron-capture elements in Galactic open clustersFeb 16 2016The properties of the relative abundances of rapid and slow neutron-capture elements are studied using a catalog containing spectroscopic abundance determinations for 14~elements produced in various nuclear-synthesis processes for 90~open clusters. The ... More

Peculiarities of α-element abundances in Galactic open clustersFeb 16 2016A catalog compiling the parameters of 346 open clusters, including their metallicities, positions, ages, and velocities has been composed. The elements of the Galactic orbits for 272 of the clusters have been calculated. Spectroscopic determinations of ... More

About Compiled Catalogue of Spectroscopically Determined $α$-Elements Abundances for Stars with Accurate ParallaxesOct 24 2007We present a new version of the compiled catalogue of nearby stars for which was published the spectoscopically determined effective temperatures, surface gravities, and abundances of iron, magnesium, calcium, silicon, and titanium. Distances, velocity ... More

Spectroscopy of high proper motion stars in the ground--based UVJan 26 2011Based on high quality spectral data (spectral resolution R>60000) within the wavelength range of 3550-5000 AA we determined main parameters (effective temperature, surface gravity, microturbulent velocity, and chemical element abundances including heavy ... More

Radiative decays of basic scalar, vector and tensor mesons and the determination of the P-wave q\bar q multipletAug 23 2001We perform simultaneous calculations of the radiative decays of scalar mesons f_0(980)-> \gamma\gamma, a_0(980)-> \gamma\gamma, vector meson \phi(1020)-> \gamma f_0(980), \gamma a_0(980), \gamma \pi^0, \gamma \eta, \gamma \eta' and tensor mesons a_2(1320)-> ... More

Quark structure of f0(980) from the radiative decays phi(1020)->gamma f0(980), gamma eta, gamma eta', gamma pi0 and f0(980)->gamma gammaNov 15 2000Mar 27 2001Partial widths of the radiative decays $\phi(1020)\to\gamma f_0(980)$, $\gamma\eta$, $\gamma\eta'$, $\gamma\pi^0$ and $f_0(980)\to\gamma\gamma$ are calculated assuming all mesons under consideration to be $q\bar q$ states: $\phi(1020)$ is dominantly an ... More

Upper critical field in the model with finite range interaction between electronsOct 27 2016We develop a theory of the upper critical field in a BCS superconductor with a nonlocal interaction between electrons. We have shown that the nonlocal interaction is characterized by the parameter $k_F\rho_0$ where $k_F$ is the Fermi momentum and $\rho_0$ ... More

Ab initio zone-center phonons in LiTaO3: comparison to LiNbO3May 12 2001The four A1-TO Gamma phonon frequencies in lithium tantalate are calculated in the frozen-phonon approach from first principles using the full-potential linearized augmented plane wave method. A good agreement with the experimental data available is found ... More

Optical Observations of PSR J0205+6449Jul 07 2008PSR J0205+6449 is a X-ray and radio pulsar in supernova remnant 3C 58. We report on observations of the central region of 3C 58 using the 4.2-m William Herschel Telescope with the intention of identifying the optical counterpart of PSR J0205+6449 and ... More

$0^{++}$-Glueball/$q \bar q$-State Mixing in the Mass Region near 1500 MeVNov 14 1996Basing on the results of the K-matrix fit of $(IJ^{PC}=00^{++})$ wave, we analyze the analytic structure of the amplitude and $q \bar q$/glueball content of resonances in the mass region 1200-1900 MeV, where an extra state for $q \bar q$-systematics exists ... More

Calculation of energy levels and transition amplitudes for barium and radiumOct 17 2006The radium atom is a promising system for studying parity and time invariance violating weak interactions. However, available experimental spectroscopic data for radium is insufficient for designing an optimal experimental setup. We calculate the energy ... More

Exponential increase of energy level density in atoms: Th and Th IIMar 24 2010We present analytical estimates and numerical calculations showing that the energy level density in open-shell atoms increases exponentially with increase of excitation energy. As an example, we use the relativistic Hartree-Fock and configuration interaction ... More

Sensitivity of the energy levels of singly ionized cobalt to the variation of the fine structure constantFeb 09 2010We use relativistic Hartree-Fock and configuration interaction methods to calculate the dependence of transition frequencies for singly ionized cobalt on the fine structure constant. The results are to be used in the search for variation of the fine structure ... More

Fine Structure Anomalies and Search for Variation of the Fine Structure Constant in Laboratory ExperimentsOct 10 2005Configuration interaction in many-electron atoms may cause anomalies in the fine structure which make the intervals small and very sensitive to variation of the fine structure constant. Repeated precision measurements of these intervals over long period ... More

Superconductivity with angular dependent coupling: stripes, Coulomb repulsion and enhanced TcDec 06 1999We have analysed the effect of intrinsic doping inhomogeneity and the presence of stripes in high-T_c superconductors on coupling \lambda by using a simple analytically solvable model with an angular dependent \lambda (\phi) represented by a square-well ... More

Reactions gamma gamma -> pi pi and gamma gamma -> K \bar K: the (IJ^{PC}=00^{++})-wave spectra at E_{gamma gamma}^{(c.m.)} = 300- 1900 MeVJun 22 1999We calculate the $00^{++}$-wave two-meson spectra for the reactions $\gamma\gamma\to\pi^0\pi^0$, $\gamma\gamma\to\pi^+\pi^-$, $\gamma\gamma\to K^0\bar K^0$ and $\gamma\gamma\to K^+ K^-$ on the basis of: (i) the results of the $K$-matrix analysis of the ... More

Ponderomotive forces in electrodynamics of moving media: Minkowski and Abraham approachesApr 06 2016In the general setting of the problem, the explicit compact formulae are derived for the ponderomotive forces in the macroscopic electrodynamics of moving media in the Minkowski and Abraham approaches. Taking account of the Minkowski constitutive equations ... More

K-matrix analysis of the (IJ^{PC}=00^{++})-wave in the mass region below 1900 MeVApr 29 2002May 14 2002We present the results of the current analysis of the partial wave IJ^{PC}=00^{++} based on the available data for meson spectra (pi-pi, K\bar K, eta-eta, eta-eta', pi-pi-pi-pi). In the framework of the K-matrix approach, the analytical amplitude has ... More

Influence of Rashba and Dresselhaus spin-orbit interactions of equal strengths on electron states in a circular quantum ring in the presence of a magnetic fieldDec 18 2012Solutions of the Schr\"odinger equation are obtained for an electron in a two-dimensional circular semiconductor quantum ring in the presence of both external uniform constant magnetic field and the Rashba and Dresselhaus spin-orbit interactions of equal ... More

Surface States of 3D Dirac Fermions in Cylindrical NanowireSep 24 2015We derive a theory for 3D Dirac fermions confined in a cylindrical nanowire. The system is described by the isotropic Dirac equation supplemented by time-reversal-invariant boundary condition at surface of the nanowire. In this approach properties of ... More

Symmetric energy-momentum tensor: The Abraham form and the explicitly covariant formulaApr 21 2015Nov 03 2016We compare the known in literature, explicitly covariant 4-dimensional formula for the symmetric energy-momentum tensor of electromagnetic field in a medium and the energy-momentum tensor derived by Abraham in the 3-dimensional vector form. It is shown ... More

Interaction of a dipole point vortex with flat boundaryApr 20 2012In this work we have found an exact solution for the problem of the movement of a dipole type point vortex in an area of fluid limited by a flat boundary. We also present a solution to the problem of dipole point vortex motion in a right angle. It is ... More

Effects of broadening and electron overheating in tunnel structures based on metallic clustersJun 26 2009We study the influence of energy levels broadening and electron subsystem overheating in island electrode (cluster) on current-voltage characteristics of three-electrode structure. A calculation scheme for broadening effect in one-dimensional case is ... More

Tunneling of slow quantum packets through the high Coulomb barrierFeb 16 2014We study the tunneling of slow quantum packets through a high Coulomb barrier. We show that the transmission coefficient can be quite different from the standard expression obtained in the plane wave (WKB) approximation (and larger by many orders of magnitude), ... More

Miniversal deformations of matrices under *congruence and reducing transformationsMay 11 2011Oct 06 2013V.I. Arnold [Russian Math. Surveys 26(2) (1971) 29-43] constructed a miniversal deformation of a square complex matrix under similarity; that is, a simple normal form to which not only a given square matrix A but all matrices B close to it can be reduced ... More

Decay $φ(1020)\to γf_0(980)$: analysis in the non-relativistic quark model approachMar 11 2004Dec 30 2004We demonstrate the possibility of a good description of the processes $\phi (1020)\to \gamma\pi\pi$ and $\phi (1020)\to \gamma f_0(980)$ within the framework of non-relativistic quark model assuming $f_0(980)$ to be dominantly quark--antiquark system. ... More

Very massive runaway stars from three-body encountersJul 28 2010Very massive stars preferentially reside in the cores of their parent clusters and form binary or multiple systems. We study the role of tight very massive binaries in the origin of the field population of very massive stars. We performed numerical simulations ... More

Extension of the Schiff theorem to ions and moleculesDec 20 2011According to the Schiff theorem the nuclear electric dipole moment (EDM) is screened in neutral atoms. In ions this screening is incomplete. We extend a derivation of the Schiff theorem to ions and molecules. The finite nuclear size effects are considered ... More

One-Dimensional Random Walk in Multi-Zone EnvironmentOct 24 2016We study a symmetric random walk (RW) in one spatial dimension in environment, formed by several zones of finite width, where the probability of transition between two neighbouring points and corresponding diffusion coefficient are considered to be differently ... More

Kinetics of dilute polymers with the viscous memoryNov 24 2001The Zimm equation for the position vector of a polymer segment is generalized taking into account the effect of viscous memory. The Oseen tensor is built on the basis of the nonstationary Navier-Stokes equation. After the preliminary averaging of the ... More

Dispersion Relation Bounds for pi pi ScatteringJan 21 2008May 26 2008Axiomatic principles such as analyticity, unitarity and crossing symmetry constrain the second derivative of the pi pi scattering amplitudes in some channels to be positive in a region of the Mandelstam plane. Since this region lies in the domain of validity ... More

K-Matrix Analysis of the (${IJ}^{PC}=00^{++}$) Amplitude in the Mass Region up to 1550 MeVMar 12 1996K-matrix analysis of the $00^{++}$ wave is performed in the channels $\pi\pi,~K\bar K,~\eta\eta$ and $4\pi$ in the mass region up to 1550 MeV. The fit is based on the following data: $p\bar p ~(at~rest)\to \pi^0\pi^0\pi^0$, $\pi^0\pi^0\eta,~\pi^0\eta\eta$ ... More

Binding and Off-Mass-Shell Effects in Deep Inelastic Scattering on DeuteronMar 04 1997The role of relativistic off-mass-shell kinematics in the deep inelastic scattering on deuteron is analyzed. It is shown that the relativistic impulse approximation reproduces effects from the binding, Fermi motion, and two-nucleon contribution. The nonrelativistic ... More

Dynamical Casimir Effect in two-atom cavity QEDMar 16 2012Jun 08 2012We study analytically and numerically the dynamical Casimir effect in a cavity containing two stationary 2-level atoms that interact with the resonance field mode via the Tavis-Cummings Hamiltonian. We determine the modulation frequencies for which the ... More

The effect of projection on the observed gas velocity fields in barred galaxiesNov 12 2000The problem of determining the pattern of gas motions in the central cases -- noncircular motions in the triaxial bar potential and motions in circular orbits but with orientation parameters different from those of the main disk -- are shown to have similar ... More

Hyperfine-induced electric dipole contributions to the electric octupole and magnetic quadrupole atomic clock transitionsFeb 26 2016Hyperfine-induced electric dipole contributions may significantly increase probabilities of otherwise very weak electric octupole and magnetic quadrupole atomic clock transitions (e.g. transitions between $s$ and $f$ electron orbitals). These transitions ... More

Calculation of parity nonconservation in neutral ytterbiumFeb 25 2011We use configuration interaction and many-body perturbation theory techniques to calculate spin-independent and spin-dependent parts of the parity nonconserving amplitudes of the transitions between the $6s^2 \ ^1$S$_0$ ground state and the $6s5d \ ^3$D$_1$ ... More

Core-valence correlations for atoms with open shellsMar 11 2007We present an efficient method of inclusion of the core-valence correlations into the configuration interaction (CI) calculations. These correlations take place in the core area where the potential of external electrons is approximately constant. A constant ... More

Quantum computation and hidden variablesJul 12 2010Many physicists limit oneself to an instrumentalist description of quantum phenomena and ignore the problems of foundation and interpretation of quantum mechanics. This instrumentalist approach results to "specialization barbarism" and mass delusion concerning ... More

Chain of Superconducting Loops as a Possible Quantum RegisterDec 21 2004The idea of the quantum computation is based on paradoxical principles of quantum physics, superposition and entanglement of quantum states. This idea looks well-founded on the microscopic level in spite of the absence of an universally recognized interpretation ... More

Affine homogeneous strictly pseudoconvex hypersurfaces of the type (1/2,0) in $\mathbb{C}^3$Jan 10 2014In this paper we denote a type of affine homogeneous real hypersurface of $\mathbb{C}^3$ and present a classification of homogeneous surfaces of the type (1/2,0). The result was obtained by reducing the classification problem mentioned above to the problem ... More

Radiative decays of mesons in the quark model: relativistic and non-relativistic approachesMay 20 2003Jan 30 2004Different conclusions about quark nature of f0(980) based on the analysis of data on the reaction phi(1020) -> gamma f0(980) make it necessary to perform detailed comparison of formulae used by various groups for the calculation of partial widths of radiative ... More

Anomalies of Transport in Reflectionally Noninvariant TurbulenceJun 06 1997We consider the transport of passive admixture in locally homogeneous isotropic reflectionally noninvariant turbulence of incompressible fluid. It is shown that anomalous convective flow appears which direction does not coincide with that of a mean flow. ... More

Sudden extinction of a critical branching process in random environmentSep 05 2008Let $T$ be the extinction moment of a critical branching process $Z=(Z_{n},n\geq 0) $ in a random environment specified by iid probability generating functions. We study the asymptotic behavior of the probability of extinction of the process $Z$ at moment ... More

The KdV in Cosmology: a useful tool or a distraction?May 25 2014Jun 02 2014The letter is a response to the recent article by J. Lidsey. We demonstrate that the Schwarzian derivative technique developed therein is but a consequence of linearizabiliy of the original cosmological equations. Furthermore, we show the required linearized ... More

The analysis of reactions $πN\to two mesons + N$ within reggeon exchanges. 1. Fit and resultsJun 10 2008Mar 03 2009The novel point of this analysis is a direct use of reggeon exchange technique for the description of the reactions $\pi N\to two mesons + N$ at large energies of the initial pion. This approach allows us to describe simultaneously distributions over ... More

Effected of Feshbach resonance on dynamics of matter waves in optical latticesSep 26 2004Sep 06 2005Mean-filed dynamics of a Bose-Einstein condensate (BEC) loaded in an optical lattice (OL), confined by a parabolic potentials, and subjected to change of a scattering length by means of the Feshbach resonance (FR), is considered. The system is described ... More

Rashba spin-orbit interaction in a circular quantum ring in the presence of a magnetic fieldDec 05 2012Exact wave functions and energy levels are obtained for an electron in a two-dimensional semiconductor circular quantum ring with a confining potential of finite depth in the presence of both an external magnetic field and the Rashba spin-orbit interaction. ... More

Macroscopic approach to the Casimir friction forceMar 13 2014Apr 23 2014The general formula is derived for the vacuum friction force between two parallel perfectly flat planes bounding two material media separated by a vacuum gap and moving relative to each other with a constant velocity $\mathbf{v}$. The material media are ... More

Canonical isomorphism of two Lie algebras arising in CR-geometryApr 09 1998We show that the maximal prolongation of a certain algebra associated with a non-degenerate Hermitian form on ${\Bbb C}^n\times{\Bbb C}^n$ with values in ${\Bbb R}^k$ is canonically isomorphic to the Lie algebra of infinitesimal holomorphic automorphisms ... More

Dynamical Casimir Effect in cavity with N-level detector or N-1 two-level atomsMay 15 2012We study the photon generation from vacuum via the Dynamical Casimir Effect in a cavity containing a N-level detector in equally-spaced resonant ladder configuration or N-1 identical resonant two-level atoms. If the modulation frequency equals exactly ... More

Calculation of nuclear-spin-dependent parity nonconservation in s-d transitions of Ba$^+$, Yb$^+$ and Ra$^+$ ionsApr 01 2011We use correlation potential and many-body perturbation theory techniques to calculate spin-independent and nuclear spin-dependent parts of the parity nonconserving amplitudes of the transitions between the $6s_{1/2}$ ground state and the $5d_{3/2}$ excited ... More

Search for variation of the fundamental constants in atomic, molecular and nuclear spectraMay 05 2008May 07 2008The search for variation of the fundamental constants such as the fine structure constant $\alpha$ ($\alpha=e^2/\hbar c$) and the ratios of fundamental masses (e.g., electron to proton mass ratio $\mu=m_e/m_p$) is reviewed. Strong emphasis is given to ... More

Relativistic corrections to transition frequencies of Fe I and search for variation of the fine structure constantNov 28 2007Relativistic energy shifts of the low energy levels of Fe have been calculated using the Dirac-Hartree-Fock and configuration interaction techniques. The results are to be used in the search for the space-time variation of the fine structure constant ... More

Parity violation and electric dipole moments in atoms and moleculesSep 11 2012We review the current status of the study of parity and time invariance violation in atoms, nuclei and molecules. We focus on parity non-conservation in cesium and three of the most promising areas of research: (i) parity non-conservation in a chain of ... More

Highly charged ions for atomic clocks and search for variation of the fine structure constantFeb 04 2015We review a number of highly charged ions which have optical transitions suitable for building extremely accurate atomic clocks. This includes ions from Hf$^{12+}$ to U$^{34+}$, which have the $4f^{12}$ configuration of valence electrons, the Ir$^{17+}$ ... More

Relativistic energy shifts in Ge II, Sn II and Pb II and search for cosmological variation of the fine structure constantJan 21 2005Sensitivity of atomic transition frequencies to variation of the fine structure constant $\alpha=e^2/\hbar c$ increases proportional to $Z^2$ where $Z$ is the nuclear charge. Recently several lines of heavy ions Ge II, Sn II and Pb II have been detected ... More

Could nanostructure be unspeakable quantum system?Jun 28 2010Heisenberg, Bohr and others were forced to renounce on the description of the objective reality as the aim of physics because of the paradoxical quantum phenomena observed on the atomic level. The contemporary quantum mechanics created on the base of ... More

Spectral caustic in two-color high harmonic generation: role of Coulomb effectsJan 29 2019The high-order harmonic spectrum generated in two-color intense laser field under certain conditions has a pronounced maximum caused by the so called spectral caustic. Using a numerical solution of the 3D time-dependent Schr\"odinger equation we study ... More

Commutative Poisson subalgebras for the Sklyanin bracket and deformations of known integrable modelsDec 08 2001A hierarchy of commutative Poisson subalgebras for the Sklyanin bracket is proposed. Each of the subalgebras provides a complete set of integrals in involution with respect to the Sklyanin bracket. Using different representations of the bracket, we find ... More

The rate of weak convergence for n-point motions of Harris flowsJun 05 2016In this paper we discuss the Wasserstein distance between the n-point motions of Harris flows whose covariance functions have compact support. We prove that it can be estimated by the diameters of their support provided the latter are sufficiently small. ... More

Point X-ray sources in the SNR G 315.4-2.30 (MSH 14-63, RCW 86)Aug 01 2002Dec 25 2002We report the results of a search for a point X-ray source (stellar remnant) in the southwest protrusion of the supernova remnant G 315.4-2.30 (MSH 14-63, RCW 86) using the archival data of the Chandra X-ray Observatory. The search was motivated by a ... More

On bi-hamiltonian geometry of some integrable systems on the sphere with cubic integral of motionDec 01 2008Dec 12 2008We obtain bi-Hamiltonian structure for a family of integrable systems on the sphere S with an additional integral of third order in momenta. These results are applied to the Goryachev system and Goryachev-Chaplygin top for which we give an explicit procedure ... More

The 26 December 2001 Solar Event Responsible for GLE63. I. Observations of a Major Long-Duration Flare with the Siberian Solar Radio TelescopeSep 08 2016Ground Level Enhancements (GLEs) of cosmic-ray intensity occur, on average, once a year. Due to their rareness, studying the solar sources of GLEs is especially important to approach understanding their origin. The SOL2001-12-26 eruptive-flare event responsible ... More

Spin-hybrid-phonon resonance in anisotropic quantum dotsJan 04 2008We have studied the absorption of electromagnetic radiation of an anisotropic quantum dot taking into account the spin-flip processes that is associated with the interaction of the electrons with optical phonons. It is shown that these processes lead ... More

Hybrid-impurity resonances in anisotropic quantum dotsDec 28 2007May 16 2008The absorption of electromagnetic radiation of an anisotropic quantum dot is theoretically investigated taking into account the processes associated with simultaneous scattering from ionized impurities. It is shown that the scattering of electrons by ... More

Hadron multiplicity in e+e- events induced by top quark pairs at the ILC energyNov 20 2007Mar 25 2008The average charged hadron multiplicity in the $e^+e^-$ events with the primary $t\bar{t}$-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 $86.7 \pm 1.11$ and ... More

Operator product expansion coefficient functions in terms of composite operators only. Nonsinglet caseFeb 14 2005Mar 31 2005A 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 ... More

Can universality of the QCD evolution be checked in W boson decays into hadrons?Dec 22 2008Hadron multiplicity from $W$ boson is calculated in pQCD. The agreement of our theoretical predictions with the LEP data says in favor of universality of the QCD evolution in hard processes.

Box Anomaly and $η' \to π^+ π^- γ$ DecayMar 20 1998In the framework of the "current scheme" of $\eta - \eta'$ mixing we calculate the amplitude of the decay $\eta' \to \pi ^+ \pi ^- \gamma $ in the soft limit and compare our results with recently reported values of the phenomenological additive terms ... More

Hadron Multiplicities at the Energies of LEP-1.5 and LEP-2Nov 13 1996Total hadron multiplicities and multiplicities of hadrons in events with heavy quarks in $e^+e^-$ annihilation at the energies of LEP-1.5 and LEP-2 are calculated on the basis of QCD.

Description of the Proton Structure Function $F_2^p(x,Q^2)$ in the Framework of Extended Regge - Eikonal ApproachDec 06 1999The proton structure function $F_2^p(x,Q^2)$ is described in the framework of the off-shell extention of the Regge-eikonal approach which automatically takes into account off-shell unitarity. We achieved a good quality of description for $x<10^{-2}$ and ... More

Correlation functions in conformal Toda field theory IIOct 16 2008Jan 14 2009This is the second part of the paper 0709.3806v2. Here we show that three-point correlation function with one semi-degenerate field in Toda field theory as well as four-point correlation function with one completely degenerate and one semi-degenerate ... More

On AGT conjectureDec 02 2009Dec 10 2009In these notes we consider relation between conformal blocks and the Nekrasov partition function of certain $\mathcal{N}=2$ SYM theories proposed recently by Alday, Gaiotto and Tachikawa. We concentrate on $\mathcal{N}=2^{*}$ theory, which is the simplest ... More

Correlation functions in conformal Toda field theory ISep 24 2007Oct 03 2007Two-dimensional sl(n) quantum Toda field theory on a sphere is considered. This theory provides an important example of conformal field theory with higher spin symmetry. We derive the three-point correlation functions of the exponential fields if one ... More

Several questions and hypotheses concerning the limit polynomials for Chacon transformationJul 03 2012We study the weak closure $L$ of powers $T^k$ of the non-singular Chacon transformation $T$ with 2-cuts. This is still an open question does $L$ contain any Markov operator except an orthogonal projector to the constants $\Theta$ and some polynomials ... More

Traveling magnetopause distortion related to a large-scale magnetosheath plasma jet: THEMIS and ground-based observationsFeb 15 2013Here, we present a case study of THEMIS and ground-based observations on the dayside magnetopause, and geomagnetic field perturbations related to the interaction of an interplanetary directional discontinuity (DD), as observed by ACE, within the magnetosphere ... More

Three-dimensional artificial neural network model of the dayside magnetopauseFeb 07 2013Artificial Neural Networks (ANN) from package NeuroShell 2 are applied for modeling of dayside magnetopause. The model data set is based on the magnetopause crossings and on the corresponding hour-averaged measurements of solar wind plasma and interplanetary ... More

Pressure balance at the magnetopause: Experimental studiesOct 24 2011The pressure balance at the magnetopause is formed by magnetic field and plasma in the magnetosheath, on one side, and inside the magnetosphere, on the other side. In the approach of dipole earth's magnetic field configuration and gas-dynamics solar wind ... More

On the reduction of Feynman integrals to master integralsJul 26 2007The reduction of Feynman integrals to master integrals is an algebraic problem that requires algorithmic approaches at the modern level of calculations. Straightforward applications of the classical Buchberger algorithm to construct Groebner bases seem ... More

Applying Groebner Bases to Solve Reduction Problems for Feynman IntegralsSep 30 2005Jan 20 2006We describe how Groebner bases can be used to solve the reduction problem for Feynman integrals, i.e. to construct an algorithm that provides the possibility to express a Feynman integral of a given family as a linear combination of some master integrals. ... More

S-bases as a tool to solve reduction problems for Feynman integralsJun 22 2006We suggest a mathematical definition of the notion of master integrals and present a brief review of algorithmic methods to solve reduction problems for Feynman integrals based on integration by parts relations. In particular, we discuss a recently suggested ... More