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Recent results from Jefferson Lab on measurement of inclusive double polarization asymmetries in the nucleon resonance region are discussed. Preliminary results on the first moment of the structure function g_1(x,Q^2) for protons, and on…

Nuclear Experiment · Physics 2008-11-26 Volker D. Burkert

We present a measurement of the deuteron spin-dependent structure function g1d based on the data collected by the COMPASS experiment at CERN during the years 2002-2004. The data provide an accurate evaluation for Gamma_1^d, the first moment…

High Energy Physics - Experiment · Physics 2008-11-26 The COMPASS Collaboration , V. Yu. Alexakhin

We obtain a pair of second order differential equations in two variables $x$ and $t$ from the coupled DGLAP QCD evolution equations at small $x$ using the standard Taylor series expansion method.To that end we keep terms upto $O(x^2 )$.We…

High Energy Physics - Phenomenology · Physics 2016-12-28 Luxmi Machahari , D. K. Choudhury , P. K. Sahariah

New experimental results on the spin dependent structure functions g_1 and g_2 which are determined from deep-inelastic scattering experiments at CERN, SLAC and DESY are reported. These results are used to evaluate the Bjorken sum rule and…

High Energy Physics - Phenomenology · Physics 2008-02-03 J. Nassalski

We calculate the perturbative component of the DIS structure function F_1 singlet in the Double-Logarithmic Approximation (DLA) and account at the same time for the running QCD coupling effects. By constructing and solving evolution…

High Energy Physics - Phenomenology · Physics 2018-03-06 B. I. Ermolaev , S. I. Troyan

Structures of the disconnected part of higher genus superstring amplitudes restricted to the hyper elliptic cases are investigated in the NSR formalism, based on the DHoker Phong and recent results. A set of equations, which we can regard…

High Energy Physics - Theory · Physics 2015-04-06 A. G. Tsuchiya

We propose a new collapsing mechanism for $G_2$-metrics, with the generic region admitting a circle bundle structure over a K3 fibration over a Riemann surface. The adiabatic description involves a weighted version of the maximal…

Differential Geometry · Mathematics 2020-11-24 Yang Li

We have measured the spin-dependent structure function $g_1^p$ of the proton in deep inelastic scattering of polarized muons off polarized protons, in the kinematic range $0.003<x<0.7$ and $1\,\mbox{GeV}^2<Q^2<60\,\mbox{GeV}^2$. Its first…

High Energy Physics - Phenomenology · Physics 2010-01-15 the SMC

Generalised spin structures, or r-spin structures, on a 2-dimensional orbifold \Sigma are r-fold fibrewise connected coverings (also called r-th roots) of its unit tangent bundle ST\Sigma. We investigate such structures on hyperbolic…

Geometric Topology · Mathematics 2012-08-29 Hansjörg Geiges , Jesús Gonzalo

We present a new measurement of the longitudinal spin asymmetry A_1^d and the spin-dependent structure function g_1^d of the deuteron in the range 1 GeV^2 < Q^2 < 100 GeV^2 and 0.004< x <0.7. The data were obtained by the COMPASS experiment…

High Energy Physics - Experiment · Physics 2009-06-11 The Compass Collaboration , E. S. Ageev

Matrix elements of spin-dependent twist-four operators are extracted from recent data on the spin-dependent g_1 structure function of the proton and deuteron in the resonance region. We emphasize the need to include the elastic…

High Energy Physics - Phenomenology · Physics 2010-01-06 Xiangdong Ji , W. Melnitchouk

We describe a procedure for determining the generalised scaling functions $f_n(g)$ at all the values of the coupling constant. These functions describe the high spin contribution to the anomalous dimension of large twist operators (in the…

High Energy Physics - Theory · Physics 2011-02-17 Davide Fioravanti , Paolo Grinza , Marco Rossi

We consider low-x behavior of the spin structure functions g_1(x) and h_1(x) in the unitarized chiral quark model that combines the ideas on constituent quark structure of hadrons with a geometrical scattering picture and unitarity. A…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sergey Troshin , Nikolai Tyurin

We give necessary and sufficient conditions for the existence of pin+, pin- and spin structures on Riemannian manifolds with holonomy group $Z_2^k$. For any n>3 (resp. n>5) we give examples of pairs of compact manifolds (resp. compact…

Differential Geometry · Mathematics 2007-05-23 Roberto Miatello , Ricardo Podesta

We performed the measurement of the inclusive electron scattering off the proton in the resonance region (W<2.5 GeV) at momentum transfer Q2 below 4.5 (GeV/c)^2 with the CLAS detector. The large acceptance of CLAS provided an access to a…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Osipenko , S. Simula , G. Ricco , G. Fedotov , E. Golovach , B. Ishkhanov , E. Isupov , V. Mokeev

The alternative to the standard formulation of the quark-parton model is proposed. Our relativistically covariant approach is based on the solution of the master equations relating the structure and distribution functions, which…

High Energy Physics - Phenomenology · Physics 2007-05-23 Petr Zavada

We have used QCD and polarized deep-inelastic scattering data to construct x-dependent polarized parton distributions. These flavor dependent distributions evolve under the NLO DGLAP equations, satisfy positivity constraints and agree well…

High Energy Physics - Phenomenology · Physics 2007-05-23 Gordon P. Ramsey

We present a precise measurement of the proton longitudinal double-spin asymmetry $A_1^{\rm p}$ and the proton spin-dependent structure function $g_1^{\rm p}$ at photon virtualities $0.006~({\rm GeV}/c)^2<Q^2 < 1~({\rm GeV}/c)^2$ in the…

High Energy Physics - Experiment · Physics 2018-05-23 M. Aghasyan , R. Akhunzyanov , M. G. Alexeev , G. D. Alexeev , A. Amoroso , V. Andrieux , N. V. Anfimov , V. Anosov , A. Antoshkin , K. Augsten , W. Augustyniak , A. Austregesilo , C. D. R. Azevedo , B. Badelek , F. Balestra , M. Ball , J. Barth , R. Beck , Y. Bedfer , J. Bernhard , K. Bicker , E. R. Bielert , R. Birsa , M. Bodlak , P. Bordalo , F. Bradamante , A. Bressan , M. Buechele , V. E. Burtsev , W. -C. Chang , C. Chatterjee , M. Chiosso , I. Choi , A. G. Chumakov , S. -U. Chung , A. Cicuttin , M. L. Crespo , S. Dalla Torre , S. S. Dasgupta , S. Dasgupta , O. Yu. Denisov , L. Dhara , S. V. Donskov , N. Doshita , Ch. Dreisbach , W. Duennweber , R. R. Dusaev , M. Dziewiecki , A. Efremov , P. D. Eversheim , M. Faessler , A. Ferrero , M. Finger , M. Finger , H. Fischer , C. Franco , N. du Fresne von Hohenesche , J. M. Friedrich , V. Frolov , E. Fuchey , F. Gautheron , O. P. Gavrichtchouk , S. Gerassimov , J. Giarra , F. Giordano , I. Gnesi , M. Gorzellik , A. Grasso , A. Gridin , M. Grosse Perdekamp , B. Grube , T. Grussenmeyer , A. Guskov , D. Hahne , G. Hamar , D. von Harrach , F. H. Heinsius , R. Heitz , F. Herrmann , N. Horikawa , N. d'Hose , C. -Y. Hsieh , S. Huber , S. Ishimoto , A. Ivanov , Yu. Ivanshin , T. Iwata , V. Jary , R. Joosten , P. Joerg , E. Kabuss , A. Kerbizi , B. Ketzer , G. V. Khaustov , Yu. A. Khokhlov , Yu. Kisselev , F. Klein , J. H. Koivuniemi , V. N. Kolosov , K. Kondo , K. Koenigsmann , I. Konorov , V. F. Konstantinov , A. M. Kotzinian , O. M. Kouznetsov , Z. Kral , M. Kraemer , P. Kremser , F. Krinner , Z. V. Kroumchtein , Y. Kulinich , F. Kunne , K. Kurek , R. P. Kurjata , I. I. Kuznetsov , A. Kveton , A. A. Lednev , E. A. Levchenko , M. Levillain , S. Levorato , Y. -S. Lian , J. Lichtenstadt , R. Longo , V. E. Lyubovitskij , A. Maggiora , A. Magnon , N. Makins , N. Makke , G. K. Mallot , S. A. Mamon , B. Marianski , A. Martin , J. Marzec , J. Matousek , H. Matsuda , T. Matsuda , G. V. Meshcheryakov , M. Meyer , W. Meyer , Yu. V. Mikhailov , M. Mikhasenko , E. Mitrofanov , N. Mitrofanov , Y. Miyachi , A. Moretti , A. Nagaytsev , F. Nerling , D. Neyret , J. Novy , W. -D. Nowak , G. Nukazuka , A. S. Nunes , A. G. Olshevsky , I. Orlov , M. Ostrick , D. Panzieri , B. Parsamyan , S. Paul , J. -C. Peng , F. Pereira , M. Pesek , M. Peskova , D. V. Peshekhonov , N. Pierre , S. Platchkov , J. Pochodzalla , V. A. Polyakov , J. Pretz , M. Quaresma , C. Quintans , S. Ramos , C. Regali , G. Reicherz , C. Riedl , N. S. Rogacheva , D. I. Ryabchikov , A. Rybnikov , A. Rychter , R. Salac , V. D. Samoylenko , A. Sandacz , C. Santos , S. Sarkar , I. A. Savin , T. Sawada , G. Sbrizzai , P. Schiavon , K. Schmidt , H. Schmieden , K. Schoenning , E. Seder , A. Selyunin , L. Silva , L. Sinha , S. Sirtl , M. Slunecka , J. Smolik , A. Srnka , D. Steffen , M. Stolarski , O. Subrt , M. Sulc , H. Suzuki , A. Szabelski , T. Szameitat , P. Sznajder , M. Tasevsky , S. Tessaro , F. Tessarotto , A. Thiel , J. Tomsa , F. Tosello , V. Tskhay , S. Uhl , B. I. Vasilishin , A. Vauth , J. Veloso , A. Vidon , M. Virius , S. Wallner , T. Weisrock , M. Wilfert , J. ter Wolbeek , K. Zaremba , P. Zavada , M. Zavertyaev , E. Zemlyanichkina , N. Zhuravlev , M. Ziembicki

The spin structure of the system of quasifree fermions having total angular momentum $J=1/2$ is studied in a consistently covariant approach. Within this model the relations between the spin functions are obtained. Their particular cases…

High Energy Physics - Phenomenology · Physics 2009-11-07 Petr Zavada

Deep Inelastic Scattering (DIS) experiments have provided important information on the structure of hadrons and ultimately the structure of matter and on the nature of interactions between leptons and hadrons, since the discovery of…

High Energy Physics - Phenomenology · Physics 2010-04-27 Begum Umme Jamil