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This review article discusses the experimental and theoretical status of various Parton Model sum rules. The basis of the sum rules in perturbative QCD is discussed. Their use in extracting the value of the strong coupling constant is…

High Energy Physics - Phenomenology · Physics 2009-10-28 Ian Hinchliffe , Axel Kwiatkowski

We present the final results for the deuteron spin structure functions obtained from the full data set collected with Jefferson Lab's CLAS in 2000-2001. Polarized electrons with energies of 1.6, 2.5, 4.2 and 5.8 GeV were scattered from…

Nuclear Experiment · Physics 2015-11-11 N. Guler , R. G. Fersch , S. E. Kuhn , P. Bosted , K. A. Griffioen , C. Keith , R. Minehart , Y. Prok , K. P. Adhikari , D. Adikaram , M. J. Amaryan , M. D. Anderson , S. Anefalos Pereira , J. Ball , M. Battaglieri , V. Batourine , I. Bedlinskiy , W. J. Briscoe , W. K. Brooks , S. Bultmann , V. D. Burkert , D. S. Carman , A. Celentano , S. Chandavar , G. Charles , L. Colaneri , P. L. Cole , M. Contalbrigo , D. Crabb , V. Crede , A. D Angelo , N. Dashyan , A. Deur , C. Djalali , G. E. Dodge , R. Dupre , A. El Alaoui , L. El Fassi , L. Elouadrhiri , P. Eugenio , G. Fedotov , S. Fegan , A. Filippi , J. A. Fleming , T. A. Forest , B. Garillon , M. Garcon , N. Gevorgyan , G. P. Gilfoyle , K. L. Giovanetti , F. X. Girod , J. T. Goetz , E. Golovatch , R. W. Gothe , M. Guidal , L. Guo , K. Hafidi , H. Hakobyan , N. Harrison , M. Hattawy , K. Hicks , D. Ho , M. Holtrop , S. M. Hughes , C. E. Hyde , D. G. Ireland , B. S. Ishkhanov , E. L. Isupov , H. S. Jo , K. Joo , S. Joosten , D. Keller , M. Khandaker , A. Kim , W. Kim , A. Klein , F. J. Klein , V. Kubarovsky , S. V. Kuleshov , K. Livingston , H. Y. Lu , I. J. D. MacGregor , B. McKinnon , M. Mirazita , V. Mokeev , R. A. Montgomery , A Movsisyan , C. Munoz Camacho , P. Nadel-Turonski , L. A. Net , I. Niculescu , M. Osipenko , A. I. Ostrovidov , K. Park , E. Pasyuk , S. Pisano , O. Pogorelko , J. W. Price , S. Procureur , M. Ripani , A. Rizzo , G. Rosner , P. Rossi , P. Roy , F. Sabatie , C. Salgado , D. Schott , R. A. Schumacher , E. Seder , A. Simonyan , Iu. Skorodumina , D. Sokhan , N. Sparveris , I. I. Strakovsky , S. Strauch , V. Sytnik , Ye Tian , S. Tkachenko , M. Ungaro , E. Voutier , N. K. Walford , X. Wei , L. B. Weinstein , M. H. Wood , N. Zachariou , L. Zana , J. Zhang , Z. W. Zhao , I. Zonta

These lectures introduce the non-specialist to the evaluation of spin structure functions from asymmetries measured in polarized deep-inelastic scattering experiments. The various steps leading from apparatus dependent counting rate…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Windmolders

Recently, we have introduced a unified theory to deal with perturbative and non-perturbative QCD contributions to hadronic structure functions in deep inelastic scattering. This formulation is realized by combining the coordinate space…

High Energy Physics - Phenomenology · Physics 2016-08-25 A. Harindranath , Rajen Kundu , Wei-Min Zhang

The observation of scaling in processes in which a weakly interacting probe delivers large momentum ${\bf q}$ to a many-body system reflects the dominance of incoherent scattering off target constituents. While a suitably defined scaling…

Nuclear Theory · Physics 2007-05-23 Omar Benhar

The $F_{2}$, $F_{G}$, $R=F_{L}/F_{T}$ proton structure functions are derived in the QCD dipole picture of BFKL dynamics. We get a three parameter fit describing the 1994 H1 proton structure function $F_{2}$ data in the low $x$, moderate…

High Energy Physics - Phenomenology · Physics 2009-10-30 Ch. Royon

The twist--2 contributions to the polarized structure functions in deep inelastic lepton--hadron scattering are calculated including the exchange of weak bosons and using both the operator product expansion and the covariant parton model. A…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Blümlein , N. Kochelev

We extract parton distribution functions (PDFs) and structure functions from recent experimental data of polarized lepton-DIS on nucleons at next-to-leading order (NLO) Quantum Chromodynamics. We apply the Jacobi polynomial method to the…

High Energy Physics - Phenomenology · Physics 2011-03-22 Ali N. Khorramian , S. Atashbar Tehrani , S. Taheri Monfared , F. Arbabifar , F. I. Olness

We perform a new extraction of polarized parton distribution functions (PPDFs) from the spin structure function experimental data in the fixed-flavor number scheme (FFNS). In this analysis, we include recent proton and deuteron spin…

High Energy Physics - Phenomenology · Physics 2018-09-28 M. Salimi-Amiri , A. Khorramian , H. Abdolmaleki , F. I. Olness

The Gerasimov-Drell-Hearn integral $I_{GDH}(Q^2)$, and its relation to polarized nucleon structure functions, is discussed from the lattice perspective. Of particular interest is the variation of $I_{GDH}(Q^2)$ with $Q^2$, and what it may…

High Energy Physics - Phenomenology · Physics 2017-08-23 G. Schierholz

While much attention has been focussed on the successes of perturbative QCD in describing the $Q^2$-dependence of deep-inelastic structure functions, the starting distributions themselves contain important, non-perturbative information on…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. W. Thomas

We report on a precision measurement of the neutron spin structure function $g^n_1$ using deep inelastic scattering of polarized electrons by polarized ^3He. For the kinematic range 0.014<x<0.7 and 1 (GeV/c)^2< Q^2< 17 (GeV/c)^2, we obtain…

High Energy Physics - Experiment · Physics 2012-08-03 The SLAC E154 Collaboration , K. Abe

The results on polarized parton densities (PDFs) obtained using different methods of QCD analysis of the present polarized DIS data are discussed. Their dependence on the method used in the analysis, accounting or not for the kinematic and…

High Energy Physics - Phenomenology · Physics 2009-11-05 Elliot Leader , Aleksander V. Sidorov , Dimiter B. Stamenov

The nucleon spin structure is studied at COMPASS via the measurement of the spin dependent properties of deep inelastic muon-deuteron scattering. Both inclusive and semi-inclusive observables are investigated, with the emphasis put on the…

High Energy Physics - Experiment · Physics 2015-06-25 Yann Bedfer

We show that the Bjorken sum rule for the first moment of the polarized nucleon structure function $g_1$ is not necessarily satisfied in QCD if the axial anomaly is taken into account. We argue that nonperturbative QCD effects should lead…

High Energy Physics - Phenomenology · Physics 2009-10-22 Stefano Forte

We present a new NLO QCD analysis of the world data on inclusive polarized deep inelastic scattering. Comparing to our previous analysis: i) the values of g_A and a_8=3F-D are updated ii) the MRST'99 instead of the MRST'98 parametrization…

High Energy Physics - Phenomenology · Physics 2015-06-25 Elliot Leader , Aleksander V. Sidorov , Dimiter B. Stamenov

After the initial discovery of the so-called "spin crisis in the parton model" in the 1980's, a large set of polarization data in deep inelastic lepton-nucleon scattering was collected at labs like SLAC, DESY and CERN. More recently, new…

High Energy Physics - Phenomenology · Physics 2009-06-09 S. E. Kuhn , J. -P. Chen , E. Leader

We apply analytic perturbation theory to the QCD analysis of the xF_3(x,Q^2) structure function considering a combined set of deep inelastic scattering data presented by several collaborations, and extract values of the scale parameter…

High Energy Physics - Phenomenology · Physics 2014-11-26 A. V. Sidorov , O. P. Solovtsova

The impact of the recent very precise CLAS and COMPASS g_1/F_1 data on polarized parton densities and higher twist effects is discussed. We demonstrate that the low Q^2 CLAS data improve essentially our knowledge of higher twist corrections…

High Energy Physics - Phenomenology · Physics 2007-07-12 Elliot Leader , Aleksander V. Sidorov , Dimiter B. Stamenov

The fact that analyses of semi-inclusive deep inelastic scattering suggest that the polarized strange quark density $\Delta s(x) + \Delta \bar{s}(x)$ is positive in the measured region of Bjorken x, whereas all analyses of inclusive deep…

High Energy Physics - Phenomenology · Physics 2015-07-10 Elliot Leader , Alexander V. Sidorov , Dimiter B. Stamenov