# V. Tarasov - ITEP

## Contact Details

NameV. Tarasov |
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AffiliationITEP |
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Location |
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## Pubs By Year |
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## External Links |
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## Pub CategoriesMathematical Physics (11) Mathematics - Mathematical Physics (11) Nuclear Experiment (9) High Energy Physics - Experiment (9) Nuclear Theory (8) Physics - Materials Science (7) High Energy Physics - Phenomenology (6) Mathematics - Algebraic Geometry (5) Mathematics - Quantum Algebra (5) Mathematics - Representation Theory (5) Physics - Statistical Mechanics (4) Mathematics - Classical Analysis and ODEs (4) Mathematics - Complex Variables (3) Physics - Instrumentation and Detectors (3) Physics - Classical Physics (3) Mathematics - Metric Geometry (3) Physics - Geophysics (2) Physics - Plasma Physics (2) Mathematics - Combinatorics (1) Solar and Stellar Astrophysics (1) Cosmology and Nongalactic Astrophysics (1) Physics - Fluid Dynamics (1) Mathematics - Dynamical Systems (1) Physics - General Physics (1) |

## Publications Authored By V. Tarasov

**Authors:**GlueX Collaboration, H. Al Ghoul, E. G. Anassontzis, A. Austregesilo, F. Barbosa, A. Barnes, T. D. Beattie, D. W. Bennett, V. V. Berdnikov, T. Black, W. Boeglin, W. J. Briscoe, W. K. Brooks, B. E. Cannon, O. Chernyshov, E. Chudakov, V. Crede, M. M. Dalton, A. Deur, S. Dobbs, A. Dolgolenko, M. Dugger, R. Dzhygadlo, H. Egiyan, P. Eugenio, C. Fanelli, A. M. Foda, J. Frye, S. Furletov, L. Gan, A. Gasparian, A. Gerasimov, N. Gevorgyan, K. Goetzen, V. S. Goryachev, L. Guo, H. Hakobyan, J. Hardin, A. Henderson, G. M. Huber, D. G. Ireland, M. M. Ito, N. S. Jarvis, R. T. Jones, V. Kakoyan, M. Kamel, F. J. Klein, R. Kliemt, C. Kourkoumeli, S. Kuleshov, I. Kuznetsov, M. Lara, I. Larin, D. Lawrence, W. I. Levine, K. Livingston, G. J. Lolos, V. Lyubovitskij, D. Mack, P. T. Mattione, V. Matveev, M. McCaughan, M. McCracken, W. McGinley, J. McIntyre, R. Mendez, C. A. Meyer, R. Miskimen, R. E. Mitchell, F. Mokaya, K. Moriya, F. Nerling, G. Nigmatkulov, N. Ochoa, A. I. Ostrovidov, Z. Papandreou, M. Patsyuk, R. Pedroni, M. R. Pennington, L. Pentchev, K. J. Peters, E. Pooser, B. Pratt, Y. Qiang, J. Reinhold, B. G. Ritchie, L. Robison, D. Romanov, C. Salgado, R. A. Schumacher, C. Schwarz, J. Schwiening, A. Yu. Semenov, I. A. Semenova, K. K. Seth, M. R. Shepherd, E. S. Smith, D. I. Sober, A. Somov, S. Somov, O. Soto, N. Sparks, M. J. Staib, J. R. Stevens, I. I. Strakovsky, A. Subedi, V. Tarasov, S. Taylor, A. Teymurazyan, I. Tolstukhin, A. Tomaradze, A. Toro, A. Tsaris, G. Vasileiadis, I. Vega, N. K. Walford, D. Werthmuller, T. Whitlatch, M. Williams, E. Wolin, T. Xiao, J. Zarling, Z. Zhang, B. Zihlmann, V. Mathieu, J. Nys

**Category:**Nuclear Experiment

We report measurements of the photon beam asymmetry $\Sigma$ for the reactions $\vec{\gamma}p\to p\pi^0$ and $\vec{\gamma}p\to p\eta $ from the GlueX experiment using a 9 GeV linearly-polarized, tagged photon beam incident on a liquid hydrogen target in Jefferson Lab's Hall D. The asymmetries, measured as a function of the proton momentum transfer, possess greater precision than previous $\pi^0$ measurements and are the first $\eta$ measurements in this energy regime. The results are compared with theoretical predictions based on $t$-channel, quasi-particle exchange and constrain the axial-vector component of the neutral meson production mechanism in these models. Read More

The article discusses a generalization of model of economic growth with constant pace, which takes into account the effects of dynamic memory. Memory means that endogenous or exogenous variable at a given time depends not only on their value at that time, but also on their values at previous times. To describe the dynamic memory we use derivatives of non-integer orders. Read More

In this paper we prove that local fractional derivatives of differentiable functions are integer-order derivative or zero operator. We demonstrate that the local fractional derivatives are limits of the left-sided Caputo fractional derivatives. The Caputo derivative of fractional order alpha of function f(x) is defined as a fractional integration of order (n-alpha) of the derivative f^(n)(x) of integer order n. Read More

A generalization of the economic model of natural growth, which takes into account the power-law memory effect, is suggested. The memory effect means the dependence of the process not only on the current state of the process, but also on the history of changes of this process in the past. For the mathematical description of the economic process with power-law memory we used the theory of derivatives of non-integer order and fractional-order differential equation. Read More

Long and short memory in economic processes is usually described by the so-called discrete fractional differencing and fractional integration. We prove that the discrete fractional differencing and integration are the Grunwald-Letnikov fractional differences of non-integer order d. Equations of ARIMA(p,d,q) and ARFIMA(p,d,q) models are the fractional-order difference equations with the Grunwald-Letnikov differences of order d. Read More

Accelerators with power-law memory are proposed in the framework of the discrete time approach. To describe discrete accelerators we use the capital stock adjustment principle, which has been suggested by Matthews.The suggested discrete accelerators with memory describe the economic processes with the power-law memory and the periodic sharp splashes (kicks). Read More

In this paper we present the analytical expression for the neutron scattering law for an isotropic source of neutrons, obtained within the framework of the gas model with the temperature of the moderating medium as a parameter. The obtained scattering law is based on the solution of the kinematic problem of elastic scattering of neutrons on nuclei in the L-system in the general case. I. Read More

**Authors:**The GlueX Collaboration, H. Al Ghoul, E. G. Anassontzis, F. Barbosa, A. Barnes, T. D. Beattie, D. W. Bennett, V. V. Berdnikov, T. Black, W. Boeglin, W. K. Brooks, B. Cannon, O. Chernyshov, E. Chudakov, V. Crede, M. M. Dalton, A. Deur, S. Dobbs, A. Dolgolenko, M. Dugger, H. Egiyan, P. Eugenio, A. M. Foda, J. Frye, S. Furletov, L. Gan, A. Gasparian, A. Gerasimov, N. Gevorgyan, V. S. Goryachev, B. Guegan, L. Guo, H. Hakobyan, H. Hakobyan2, J. Hardin, G. M. Huber, D. Ireland, M. M. Ito, N. S. Jarvis, R. T. Jones, V. Kakoyan, M. Kamel, F. J. Klein, C. Kourkoumeli, S. Kuleshov, M. Lara, I. Larin, D. Lawrence, J. Leckey, W. I. Levine, K. Livingston, G. J. Lolos, D. Mack, P. T. Mattione, V. Matveev, M. McCaughan, W. McGinley, J. McIntyre, R. Mendez, C. A. Meyer, R. Miskimen, R. E. Mitchell, F. Mokaya, K. Moriya, G. Nigmatkulov, N. Ochoa, A. I. Ostrovidov, Z. Papandreou, R. Pedroni, M. Pennington, L. Pentchev, A. Ponosov, E. Pooser, B. Pratt, Y. Qiang, J. Reinhold, B. G. Ritchie, L. Robison, D. Romanov, C. Salgado, R. A. Schumacher, A. Yu. Semenov, I. A. Semenova, I. Senderovich, K. K. Seth, M. R. Shepherd, E. S. Smith, D. I. Sober, A. Somov, S. Somov, O. Soto, N. Sparks, M. J. Staib, J. R. Stevens, A. Subedi, V. Tarasov, S. Taylor, I. Tolstukhin, A. Tomaradze, A. Toro, A. Tsaris, G. Vasileiadis, I. Vega, G. Voulgaris, N. K. Walford, T. Whitlatch, M. Williams, E. Wolin, T. Xiao, J. Zarling, B. Zihlmann

The GlueX experiment at Jefferson Lab ran with its first commissioning beam in late 2014 and the spring of 2015. Data were collected on both plastic and liquid hydrogen targets, and much of the detector has been commissioned. All of the detector systems are now performing at or near design specifications and events are being fully reconstructed, including exclusive production of $\pi^{0}$, $\eta$ and $\omega$ mesons. Read More

**Authors:**Igor Strakovsky

^{1}, William Briscoe

^{2}, Alexander Kudryavtsev

^{3}, Viacheslav Kulikov

^{4}, Maxim Martemianov

^{5}, Vladimir Tarasov

^{6}, Ron Workman

^{7}

**Affiliations:**

^{1}GW,

^{2}GW,

^{3}ITEP/GW,

^{4}ITEP,

^{5}ITEP,

^{6}ITEP,

^{7}ITEP

An overview of the GW SAID and ITEP groups' effort to analyze pion photoproduction on the neutron-target will be given. The disentanglement of the isoscalar and isovector EM couplings of N* and Delta* resonances does require compatible data on both proton and neutron targets. The final-state interaction plays a critical role in the state-of-the-art analysis in extraction of the gn-->piN data from the deuteron target experiments. Read More

Commutative sets of Jucys-Murphyelements for affine braid groups of $A^{(1)},B^{(1)},C^{(1)},D^{(1)}$ types were defined. Construction of $R$-matrix representations of the affine braid group of type $C^{(1)}$ and its distinguish commutative subgroup generated by the $C^{(1)}$-type Jucys--Murphy elements are given. We describe a general method to produce flat connections for the two-boundary quantum Knizhnik-Zamolodchikov equations as necessary conditions for Sklyanin's type transfer matrix associated with the two-boundary multicomponent Zamolodchikov algebra to be invariant under the action of the $C^{(1)}$-type Jucys--Murphy elements. Read More

Using the DIANA data on the charge-exchange reaction $K^+n \rightarrow pK^0$ on a bound neutron, in which the s-channel formation of the pentaquark baryon $\Theta^+(1538)$ has been observed, we analyze the dependence of the background-subtracted $\Theta^+ \rightarrow pK^0$ signal on the $K^0$ emission angle in the $pK^0$ rest frame. In order to describe the observed $\cos\Theta_K^\mathrm{cms}$ distribution, invoking the interference between the nonresonant s-wave and the $\Theta^+$-mediated higher-wave contributions to the amplitude of the charge-exchange reaction is required at a 2.8$\sigma$ level. Read More

Using HF+BCS method we study light nuclei with nuclear charge in the range $2 \leq Z \leq 8$ and lying near the neutron drip line. The HF method uses effective Skyrme forces and allows for axial deformations. We find that the neutron drip line forms stability peninsulas at $^{18}$He and $^{40}$C. Read More

We classify spherical quadrilaterals up to isometry in the case when one inner angle is a multiple of pi while the other three are not. This is equivalent to classification of Heun's equations with real parameters and one apparent singularity such that the monodromy consists of unitary transformations. Read More

The main aim of this paper is to solve the technological problems of the TWR based on the technical concept described in our priority of invention reference, which makes it impossible, in particular, for the fuel claddings damaging doses of fast neutrons to excess the ~200 dpa limit. Thus the essence of the technical concept is to provide a given neutron flux at the fuel claddings by setting the appropriate speed of the fuel motion relative to the nuclear burning wave. The basic design of the fast uranium-plutonium nuclear traveling-wave reactor with a softened neutron spectrum is developed, which solves the problem of the radiation resistance of the fuel claddings material. Read More

**Authors:**V. E. Tarasov

^{1}, W. J. Briscoe

^{2}, M. Dieterle

^{3}, B. Krusche

^{4}, A. E. Kudryavtsev

^{5}, M. Ostrick

^{6}, I. I. Strakovsky

^{7}

**Affiliations:**

^{1}ITEP,

^{2}GW,

^{3}Basel U.,

^{4}Basel U.,

^{5}ITEP/GW,

^{6}JGU,

^{7}GW

We discuss the procedure of extracting the photoproduction cross section for neutral pseudoscalar mesons off neutrons from deuteron data. The main statement is that the final-state interaction (FSI) corrections for the proton and neutron target are in general not equal, but for pi0 production there are special cases were they have to be identical and there are large regions in the parameter space of incident photon energy and pion polar angle, \theta^*, where they happen to be quite similar. The corrections for both target nucleons are practically identical for $\pi_0$ production in the energy range of the Delta(1232)3/2+ resonance due to the specific isospin structure of this excitation. Read More

Using a generalization of vector calculus for the case of non-integer dimensional space we consider a Poiseuille flow of an incompressible viscous fractal fluid in the pipe. Fractal fluid is described as a continuum in non-integer dimensional space. A generalization of the Navier-Stokes equations for non-integer dimensional space, its solution for steady flow of fractal fluid in a pipe and corresponding fractal fluid discharge are suggested. Read More

Electric fields in non-local media with power-law spatial dispersion are discussed. Equations involving a fractional Laplacian in the Riesz form that describe the electric fields in such non-local media are studied. The generalizations of Coulomb's law and Debye's screening for power-law non-local media are characterized. Read More

In this paper we propose a lattice analog of phase-space fractional Liouville equation. The Liouville equation for phase-space lattice with long-range jumps of power-law types is suggested. We prove that the continuum limit transforms this lattice equation into Liouville equation with conjugate Riesz fractional derivatives of non-integer orders with respect to coordinates of continuum phase-space. Read More

Lattice models for the second-order strain-gradient models of elasticity theory are discussed. To combine the advantageous properties of two classes of second-gradient models, we suggest a new lattice model that can be considered as a discrete microstructural basis for gradient continuum models. It was proved that two classes of the second-gradient models (with positive and negative sign in front the gradient) can have a general lattice model as a microstructural basis. Read More

Equation of long-range particle drift and diffusion on three-dimensional physical lattice is suggested. This equation can be considered as a lattice analogof space-fractional Fokker-Planck equation for continuum. The lattice approach gives a possible microstructural basis for anomalous diffusion in media that are characterized by the non-locality of power-law type. Read More

Fractional diffusion equations for three-dimensional lattice models based on fractional-order differences of the Grunwald-Letnikov type are suggested. These lattice fractional diffusion equations contain difference operators that describe long-range jumps from one lattice site to other. In continuum limit, the suggested lattice diffusion equations with non-integer order differences give the diffusion equations with the Grunwald-Letnikov fractional derivatives for continuum. Read More

Using a generalization of vector calculus for space with non-integer dimension, we consider elastic properties of fractal materials. Fractal materials are described by continuum models with non-integer dimensional space. A generalization of elasticity equations for non-integer dimensional space, and its solutions for equilibrium case of fractal materials are suggested. Read More

A review of different approaches to describe anisotropic fractal media is proposed. In this paper differentiation and integration non-integer dimensional and multi-fractional spaces are considered as tools to describe anisotropic fractal materials and media. We suggest a generalization of vector calculus for non-integer dimensional space by using a product measure method. Read More

We suggest a generalization of vector calculus for the case of non-integer dimensional space. The first and second orders operations such as gradient, divergence, the scalar and vector Laplace operators for non-integer dimensional space are defined. For simplification we consider scalar and vector fields that are independent of angles. Read More

Lattice model with long-range interaction of power-law type that is connected with difference of non-integer order is suggested. The continuous limit maps the equations of motion of lattice particles into continuum equations with fractional Grunwald-Letnikov-Riesz derivatives. The suggested continuum equations describe fractional generalizations of the gradient and integral elasticity. Read More

We consider some possible approaches to the fractional-order generalization of definition of variation (functional) derivative. Some problems of formulation of a fractional-order variational derivative are discussed. To give a consistent definition of the fractional-order variations, we use a fractional generalization of Gateaux differential. Read More

Lattice models with long-range interactions of power-law type are suggested as a new type of microscopic model for fractional non-local elasticity. Using the transform operation, we map the lattice equations into continuum equation with Riesz derivatives of non-integer orders. The continuum equations that are obtained from the lattice model describe fractional generalization of non-local elasticity models. Read More

Fractional dynamics is a field of study in physics and mechanics investigating the behavior of objects and systems that are characterized by power-law non-locality, power-law long-term memory or fractal properties by using integrations and differentiation of non-integer orders, i.e., by methods of the fractional calculus. Read More

**Authors:**SELEX Collaboration, G. A. Nigmatkulov, A. K. Ponosov, U. Akgun, G. Alkhazov, J. Amaro-Reyes, A. Asratyan, A. G. Atamantchouk, A. S. Ayan, M. Y. Balatz, A. Blanco-Covarrubias, N. F. Bondar, P. S. Cooper, L. J. Dauwe, G. V. Davidenko, U. Dersch, A. G. Dolgolenko, G. B. Dzyubenko, R. Edelstein, L. Emediato, A. M. F. Endler, J. Engelfried, I. Eschrich, C. O. Escobar, N. Estrada, A. V. Evdokimov, I. S. Filimonov, A. Flores-Castillo, F. G. Garcia, V. L. Golovtsov, P. Gouffon, E. Gülmez, M. Iori, S. Y. Jun, M. Kaya, J. Kilmer, V. T. Kim, L. M. Kochenda, I. Konorov, A. P. Kozhevnikov, A. G. Krivshich, H. Krüger, M. A. Kubantsev, V. P. Kubarovsky, A. I. Kulyavtsev, N. P. Kuropatrkin, V. F. Kurshetsov, A. Kushnirenko, J. Lach, L. G. Landsberg, I. Larin, E. M. Leikin, G. López-Hinojosa, T. Lungov, V. P. Maleev, D. Mao, P. Mathew, M. Mattson, V. Matveev, E. McCliment, M. A. Moinester, V. V. Molchanov, A. Morelos, A. V. Nemitkin, P. V. Neoustroev, C. Newsom, A. P. Nilov, S. B. Nurushev, A. Ocherashvili, Y. Onel, S. Ozkorucuklu, A. Penzo, S. V. Petrenko, M. Procario, V. A. Prutskoi, B. V. Razmyslovich, D. A. Romanov, V. I. Rud, J. Russ, J. L. Sánchez-López, A. A. Savchenko, J. Simon, G. V. Sinev, A. I. Sitnikov, V. J. Smith, M. Srivastava, V. Steiner, V. Stepanov, L. Stutte, M. Svoiski, V. V. Tarasov, N. K. Terentyev, I. Torres, L. N. Uvarov, A. N. Vasiliev, D. V. Vavilov, E. Vázquez-Jáuregui, V. S. Verebryusov, V. A. Victorov, V. E. Vishnyakov, A. A. Vorobyov, K. Vorwalter, J. You, R. Zukanovich-Funchal

We report on the measurement of the one-dimensional charged kaon correlation functions using 600~GeV/{\it c} $\Sigma^-$, $\pi^-$ and 540~GeV/{\it c} $p$ beams from the SELEX~(E781) experiment at the Fermilab Tevatron. $K^{\pm}K^{\pm}$ correlation functions are studied for three transverse pair momentum, $k_T$, ranges and parameterized by a Gaussian form. The emission source radii, $R$, and the correlation strength, $\lambda$, are extracted. Read More

**Authors:**Igor I. Strakovsky

^{1}, William J. Briscoe

^{2}, Alexander E. Kudryavtsev

^{3}, Viacheslav V. Kulikov

^{4}, Maxim A. Martemyanov

^{5}, Vladimir E. Tarasov

^{6}

**Affiliations:**

^{1}GW,

^{2}GW,

^{3}ITEP, GW,

^{4}ITEP,

^{5}ITEP,

^{6}ITEP

An overview of the GW SAID and ITEP groups effort to analyze pion photoproduction on the neutron-target will be given. The disentanglement the isoscalar and isovector EM couplings of N* and Delta* resonances does require compatible data on both proton and neutron targets. The final-state interaction plays a critical role in the state-of-the-art analysis in extraction of the gamma n --> pi N data from the deuteron target experiments. Read More

New lattice model for the gradient elasticity is suggested. This lattice model gives a microstructural basis for second-order strain-gradient elasticity of continuum that is described by the linear elastic constitutive relation with the negative sign in front of the gradient. Moreover the suggested lattice model allows us to have a unified description of gradient models with positive and negative signs of the strain gradient terms. Read More

A lattice model with a spatial dispersion corresponding to a power-law type is suggested. This model serves as a microscopic model for elastic continuum with power-law non-locality. We prove that the continuous limit maps of the equations for the lattice with the power-law spatial dispersion into the continuum equations with fractional generalizations of the Laplacian operators. Read More

We consider the cotangent bundle $T^*F_\lambda$ of a $GL_n$ partial flag variety, $\lambda=(\lambda_1,... Read More

For a fissile medium, originally consisting of uranium-238, the investigation of fulfillment of the wave burning criterion in a wide range of neutron energies is conducted for the first time, and a possibility of wave nuclear burning not only in the region of fast neutrons, but also for cold, epithermal and resonance ones is discovered for the first time. For the first time the results of the investigation of the Feoktistov criterion fulfillment for a fissile medium, originally consisting of uranium-238 dioxide with enrichments 4.38%, 2. Read More

A spherical quadrilateral is a bordered surface homeomorphic to a closed disk, with four distinguished boundary points called corners, equipped with a Riemannian metric of constant curvature 1, except at the corners, and such that the boundary arcs between the corners are geodesic. We discuss the problem of classification of these quadrilaterals and perform the classification up to isometry in the case that two angles at the corners are multiples of pi. The problem is equivalent to classification of Heun's equations with real parameters and unitary monodromy. Read More

**Authors:**The GlueX Collaboration, M. Dugger, B. Ritchie, I. Senderovich, E. Anassontzis, P. Ioannou, C. Kourkoumeli, G. Vasileiadis, G. Voulgaris, N. Jarvis, W. Levine, P. Mattione, W. McGinley, C. A. Meyer, R. Schumacher, M. Staib, F. Klein, D. Sober, N. Sparks, N. Walford, D. Doughty, A. Barnes, R. Jones, J. McIntyre, F. Mokaya, B. Pratt, W. Boeglin, L. Guo, E. Pooser, J. Reinhold, H. Al Ghoul, V. Crede, P. Eugenio, A. Ostrovidov, A. Tsaris, D. Ireland, K. Livingston, D. Bennett, J. Bennett, J. Frye, M. Lara, J. Leckey, R. Mitchell, K. Moriya, M. R. Shepherd, O. Chernyshov, A. Dolgolenko, A. Gerasimov, V. Goryachev, I. Larin, V. Matveev, V. Tarasov, F. Barbosa, E. Chudakov, M. Dalton, A. Deur, J. Dudek, H. Egiyan, S. Furletov, M. Ito, D. Mack, D. Lawrence, M. McCaughan, M. Pennington, L. Pentchev, Y. Qiang, E. Smith, A. Somov, S. Taylor, T. Whitlatch, B. Zihlmann, R. Miskimen, B. Guegan, J. Hardin, J. Stevens, M. Williams, V. Berdnikov, G. Nigmatkulov, A. Ponosov, D. Romanov, S. Somov, I. Tolstukhin, C. Salgado, P. Ambrozewicz, A. Gasparian, R. Pedroni, T. Black, L. Gan, S. Dobbs, K. Seth, X. Ting, A. Tomaradze, T. Beattie, G. Huber, G. Lolos, Z. Papandreou, A. Semenov, I. Semenova, W. Brooks, H. Hakobyan, S. Kuleshov, O. Soto, A. Toro, I. Vega, N. Gevorgyan, H. Hakobyan, V. Kakoyan

We propose to enhance the kaon identification capabilities of the GlueX detector by constructing an FDIRC (Focusing Detection of Internally Reflected Cherenkov) detector utilizing the decommissioned BaBar DIRC components. The GlueX FDIRC would significantly enhance the GlueX physics program by allowing one to search for and study hybrid mesons decaying into kaon final states. Such systematic studies of kaon final states are essential for inferring the quark flavor content of hybrid and conventional mesons. Read More

A spherical n-gon is a bordered surface homeomorphic to a closed disk, with n distinguished boundary points called corners, equipped with a Riemannian metric of constant curvature 1, except at the corners, and such that the boundary arcs between the corners are geodesic. We discuss the problem of classification of these polygons and enumerate them in the case that two angles at the corners are not multiples of pi. The problem is equivalent to classification of some second order linear differential equations with regular singularities, with real parameters and unitary monodromy. Read More

We give lower bounds for the numbers of real solutions in problems appearing in Schubert calculus in the Grassmannian Gr(n,d) related to osculating flags. It is known that such solutions are related to Bethe vectors in the Gaudin model associated to gl(n). The Gaudin Hamiltonians are selfadjoint with respect to a nondegenerate indefinite Hermitian form. Read More

Derivatives and integrals of non-integer order may have a wide application in describing complex properties of materials including long-term memory, non-locality of power-law type and fractality. In this paper we consider extensions of elasticity theory that allow us to describe elasticity of materials with fractional non-locality, memory and fractality. The basis of our consideration is an extension of the usual variational principle for fractional non-locality and fractality. Read More

We demonstrate that a violation of the Leibniz rule is a characteristic property of derivatives of non-integer orders. We prove that all fractional derivatives D^a, which satisfy the Leibniz rule D^(fg)=(D^a f) g + f (D^a g), should have the integer order a=1, i.e. Read More

**Authors:**Igor Strakovsky

^{1}, William Briscoe

^{2}, Alexander Kudryavtsev

^{3}, Vladimir Tarasov

^{4}, Ron Workman

^{5}

**Affiliations:**

^{1}GWU,

^{2}GWU,

^{3}ITEP/GWU,

^{4}ITEP,

^{5}GWU

We present an overview of the GW SAID group effort to analyze on new pion photoproduction on both proton- and neutron-targets. The main database contribution came from the recent CLAS and MAMI unpolarized and polarized measurements. The differential cross section for the processes gamma n --> pi- p was extracted from new measurements accounting for Fermi motion effects in the impulse approximation (IA) as well as NN and piN effects beyond the IA. Read More

An extension of gradient elasticity through the inclusion of spatial derivatives of fractional order to describe power-law type of non-locality is discussed. Two phenomenological possibilities are explored. The first is based on the Caputo fractional derivatives in one-dimension. Read More

A microscopic model in the framework of fractional kinetics to describe spatial dispersion of power-law type is suggested. The Liouville equation with the Caputo fractional derivatives is used to obtain the power-law dependence of the absolute permittivity on the wave vector. The fractional differential equations for electrostatic potential in the media with power-law spatial dispersion are derived. Read More

The charge-exchange reaction K^+ Xe --> K^0 p Xe' is investigated using the data of the DIANA experiment. The distribution of the pK^0 effective mass shows a prominent enhancement near 1538 MeV formed by \sim 80 events above the background, whose width is consistent with being entirely due to the experimental resolution. Under the selections based on a simulation of K^+Xe collisions, the statistical significance of the signal reaches 5. Read More

**Authors:**V. E. Tarasov

^{1}, W. J. Briscoe

^{2}, W. Gradl

^{3}, A. E. Kudryavtsev

^{4}, I. I. Strakovsky

^{5}

**Affiliations:**

^{1}ITEP,

^{2}GWU,

^{3}Mainz U.,

^{4}ITEP/GWU,

^{5}GWU

**Category:**High Energy Physics - Phenomenology

The photoproduction processes gp-->a0(980)p and gp-->f0(980)p at energies close to threshold are considered. These reactions are studied in the \pi\pi p, \pi\eta p, and K-barK p channels. Production cross sections are estimated in different models. Read More

Non-local elasticity models in continuum mechanics can be treated with two different approaches: the gradient elasticity models (weak non-locality) and the integral non-local models (strong non-locality). This article focuses on the fractional generalization of gradient elasticity that allows us to describe a weak non-locality of power-law type. We suggest a lattice model with spatial dispersion of power-law type as a microscopic model of fractional gradient elastic continuum. Read More

We show the existence of the strong inverse correlation between the temporal variations of the toroidal component of the magnetic field in the solar tachocline (the bottom of the convective zone) and the Earth magnetic field (the Y-component). The possibility that the hypothetical solar axions, which can transform into photons in external electric or magnetic fields (the inverse Primakoff effect), can be the instrument by which the magnetic field of the Sun convective zone modulates the magnetic field of the Earth is considered. We propose the axion mechanism of Sun luminosity and "solar dynamo -- geodynamo" connection, where the energy of one of the solar axion flux components emitted in M1 transition in 57Fe nuclei is modulated at first by the magnetic field of the solar tachocline zone (due to the inverse coherent Primakoff effect) and after that is resonantly absorbed in the core of the Earth, thereby playing the role of the energy modulator of the Earth magnetic field. Read More

We consider a tensor product $V(b)= \otimes_{i=1}^n\C^N(b_i)$ of the Yangian $Y(gl_N)$ evaluation vector representations. We consider the action of the commutative Bethe subalgebra $B^q \subset Y(gl_N)$ on a $gl_N$-weight subspace $V(b)_\lambda \subset V(b)$ of weight $\lambda$. Here the Bethe algebra depends on the parameters $q=(q_1,. Read More

We describe hypergeometric solutions of the quantum differential equation of the cotangent bundle of a gl_n partial flag variety. These hypergeometric solutions manifest the Landau-Ginzburg mirror symmetry for the cotangent bundle of a partial flag variety. Read More

We consider the cotangent bundle T^*F_\lambda of a GL_n partial flag variety, \lambda = (\lambda_1,... Read More