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ON MANIFESTATION OF QUARK-HADRON DUALITY VIA THE ADLER D-FUNCTION O.P. Solovtsova 1,2† and V.G. Teplyakov 2 (1) Gomel Technical University, Gomel 246746, Belarus (2) BLTP, JINR, Dubna 141980, Russia † E-mail: olsol@theor.jinr.ru To compare theoretical results and experimental data one often uses the concept of quark-hadron duality, which establishes a bridge between quarks and gluons, a language oftheoreticians, andreal measurements withhadrons performedby experimentalists. The ideaquark-hadrondualitywasformulatedinthepaperbyPoggio, Quinn,andWeinberg[1] as follows: Inclusive hadronic cross sections, once they are appropriately averaged over an energy interval, must approximately coincide with the corresponding quantities derived from the quark-gluon picture. It is clear that it will be most fruitful to connect measured quantities with “simplest” theoretical objects. Some single-argument functions which are directly connected with experimentally measured quantities can play the role of these objects. In this talk we concentrate on physical quantities and functions connected with the Adler D-function [2]. This function defined in the Euclidean region for positive momentum, Q 2 = −q 2 > 0, is a smooth function without traces of the resonance structure. Therefore one might expect that use of the Adler function is useful and that it more precisely reflects the quark-hadron duality, than, for example, use of the smeared quantity, R ∆ (q 2 ), defined in the timelike region [1]. The D-function was studied in a number of papers (see [4] for more details). Thetheoretical approachthatweuse hereisbased onthenonperturbative a-expansion method (see [3]) which leads to a new small expansion parameter. Even going into the infrared region of small momenta where the running coupling becomes large and the standard perturbative expansion fails, the nonperturbative expansion parameter remains small and the approach holds valid. It is important that this method supports the correct analytic properties of the Adler function. Using the D-function in the theoretical description, we found good agreement between our results and corresponding experimental data downtothelowest energyscale (thatisnot calculablewithin standardperturbative QCD) both for the timelike and Euclidean quantities. We investigate the reason of such good agreement and as a result we formulate a criterion which we call as the R – D self-duality. References [1] E.C. Poggio, H.R. Quinn, and S. Weinberg, Phys. Rev. D13, 1958 (1976). [2] S.L. Adler, Phys. Rev. D10, 3714 (1974). [3] A.N. Sissakian and I.L. Solovtsov, Phys. Part. Nucl. 30, 461 (1999). [4] S.L. Adler, “Adventures in theoretical physics: Selected papers of Stephen L. Adler: Drafts of commentaries”, hep-ph/0505177, 117 pp. 118
MONTE CARLO SIMULATIONS OF NATURAL URANIUM SETUPS IRRADIATED WITH RELATIVISTIC DEUTERONS BY MEANS OF MCNPX CODE M. Suchopár 1,2 for the collaboration “Energy and Transmutation of Radioactive Waste” 1 Nuclear Physics Institute of ASCR, 250 68 Řež near Prague, Czech Republic 2 Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Břehová 7, 115 19 Prague, Czech Republic E-mail: suchopar@ujf.cas.cz The collaboration Energy and Transmutation of Radioactive Waste has used different set-ups consisting of lead, uranium and graphite irradiated by relativistic protons and deuterons to study transmutation of radioactive materials by produced neutrons. Such studies are intended for providing important data serving for the construction of larger-scale Accelerator-Driven Systems. The most recent set-up named QUINTA, consisting of natural uranium target and lead blanket, was irradiated by deuteron beams in the energy range between 1 and 8 GeV in the last three accelerator runs at JINR Nuclotron in 2011 and 2012. Monte Carlo simulations of the target assembly QUINTA concerning overall neutron production as well as spatial and energy distribution of the neutron field inside the set-up have been made using the MCNPX code and they have been compared with experimental data obtained by activation method. 119
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Joint Institute for Nuclear Researc
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Organized by Joint Institute for Nu
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ON THE CONTINUUM LIMIT OF LANDAU GA
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WITTEN PARAMETER IN THE SU (2)-GLUE
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NEW DATA ON THE DIFFERENTIAL CROSS
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RELATIVISTIC CORRECTION TO THE FIRS
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NEUTRON GENERATION BY RELATIVISTIC
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COMPARISON OF THE TRIGGERS OF THE A
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NUCLEAR TRANSPARENCY EFFECT IN PROT
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Only with the value L σ = 12 of σ
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SELF-SIMILARITY OF HIGH-P T HADRON
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Λ and Σ + (1385) HYPERONS RECONST
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ON RESULTS OF Y-89 IRRADIATION WITH
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TIMELIKE STRUCTURE FUNCTIONS AND HA
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MATHEMATIAL MODEL OF DNA LESIONS O.
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ADIABATIC CHEMICAL FREEZE-OUT AND W
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which, according to the finite widt
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STATUS AND RECENT RESULTS OF THE AT
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experimental errors of about 15 % f
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MEASURING THE PHASE BETWEEN STRONG
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ANALYSIS OF DIFFERENCES ON PSEUDORA
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THE SIGNALS OF PARTIAL RESTORATION
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RECENT HEAVY ION RESULTS FROM STAR
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SPECTROSCOPY AND REGGE TRAJECTORIES
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FORWARD-BACKWARD MULTIPLICITY CORRE
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INFRARED CONFINEMENT AND MESON SPEC
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WITTEN PARAMETER IN THE SU (2)-GLUE
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where A is surface coefficient, B i
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MICROSCOPIC PION-NUCLEON AND NUCLEU
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DEUTERONS BEAM PARAMETERS MEASUREME
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PERTURBATIVE STABILITY OF THE QCD P
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OBSERVATION OF LIGHT NUCLEI FORMATI
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RESONANCE RESULTS WITH THE ALICE EX
Page 68 and 69: NEUTRAL PION FLUCTUATION STUDIES AT
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Page 74 and 75: SMALL x BEHAVIOR OF PARTON DENSITIE
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Page 132 and 133: MODELS OF MIXED QUARK-HADRON MATTER
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Page 136 and 137: SPATIAL DISTRIBUTION OF NATURAL U F
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Joint Institute for Nuclear Research Relativistic ... - Index of - JINR

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