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In this paper, we show what we can learn from the CEBAF experiments on spin-structure functions, and the transition from the Drell-Hearn-Gerasimov sum rule in the real photon limit to the spin dependent sum rules in the deep inelastic…

High Energy Physics - Phenomenology · Physics 2009-10-28 Zhenping Li , Zhujun Li

The exact 2-spinon part of the dynamic spin structure factor $S_{xx}(Q,\omega)$ for the one-dimensional $s$=1/2 $XXZ$ model at $T$=0 in the antiferromagnetically ordered phase is calculated using recent advances by Jimbo and Miwa in the…

Condensed Matter · Physics 2009-10-30 A. Hamid Bougourzi , Michael Karbach , Gerhard Müller

Considering a fixed-flavor number scheme and based on laplace transdormation, we perform a leading-order and next-to-leading-order QCD analysis which are including world data on polarized structure functions $g_1$ and $g_2$. During our…

High Energy Physics - Phenomenology · Physics 2023-03-28 Hoda Nematollahi , Abolfazl Mirjalili , Shahin Atashbar Tehrani

The structure function of the nucleus in the cumulative region $x>1$ is studied in terms of nucleon degrees of freedom. At high $Q^2$ the resulting expressions are presented as a sum of contributions from few-nucleon correlations.…

Nuclear Theory · Physics 2009-11-07 M. A. Braun , V. M. Suslov , B. Vlahovic

We present estimates of possible data on spin-dependent asymmetries in inclusive scattering of high energy polarized electrons by high energy polarized protons at HERA, including statistical errors, and discuss systematic uncertainties. We…

High Energy Physics - Phenomenology · Physics 2007-05-23 Richard D. Ball , Abhay Deshpande , Stefano Forte , Vernon W. Hughes , Jechiel Lichtenstadt , Giovanni Ridolfi

In the leading twist approximation of the Wilson operator product expansion with standard and "frozen" versions of strong copling constant we show that the Bessel-inspired behavior of the structure function $F_2$ at small $x$, obtained for…

High Energy Physics - Phenomenology · Physics 2008-12-31 A. Yu. Illarionov , A. V. Kotikov

We give a brief overview of the perturbative QCD description of the proton deep-inelastic structure function F2(x, Q2) at small x. We discuss GLAP and BFKL approaches, and then we review progress towards a more unified treatment.

High Energy Physics - Phenomenology · Physics 2008-02-03 A. D. Martin

In the leading twist approximation of the Wilson operator product expansion with "frozen" and analytic strong coupling constants we show that Bessel-inspired behavior of the structure function F2 at small x, obtained for a flat initial…

High Energy Physics - Phenomenology · Physics 2014-11-20 A. Yu. Illarionov , A. V. Kotikov

We compute quark structure functions and the intrinsic Fock space distribution of sea quarks in a hadron wavefunction at small x. The computation is performed in an effective theory at small x where the gluon field is treated classically.…

High Energy Physics - Phenomenology · Physics 2009-10-31 Larry McLerran , Raju Venugopalan

Interest in studying the inclusive photon induced processes of Deep-Inelastic Scattering (DIS) and Diffractive DIS (DDIS) at high energies includes their experimental investigation and thorough theoretical description. The conventional…

High Energy Physics - Phenomenology · Physics 2021-11-15 B. I. Ermolaev , S. I. Troyan

We present an update of a phenomenological model for the spin dependent structure functions $g_1(x,Q^2)$ of the proton and neutron. This model is based on a broken SU(6) wavefunction parametrized by the unpolarized structure functions. The…

High Energy Physics - Phenomenology · Physics 2009-10-28 B. Ehrnsperger , A. Schäfer

We set up a procedure to systematically obtain Compton-like amplitudes in an arbitrary-spin theory, exploiting their factorization properties, and colour-kinematics duality. We furthermore investigate the constraining of Wilson coefficients…

High Energy Physics - Theory · Physics 2025-03-31 Ingrid Vazquez-Holm , Andres Luna

We discuss the order alpha_s^2 corrections to the longitudinal spin structure function g_1(x,Q^2,m^2) which are due to heavy flavour contributions. Here Q denotes the virtuality of the photon and m stands for the heavy flavour mass. Since…

High Energy Physics - Phenomenology · Physics 2007-05-23 W. L. van Neerven

We extend the results of Lappi {\em et al.}, Eur.~Phys.~J.~C {\bf 84}, 84 (2024), to show that it is possible to obtain expressions for the longitudinal, singlet and gluon structure functions $F_L$, $F_S$ and $G$ in deep inelastic…

High Energy Physics - Phenomenology · Physics 2026-05-12 G. R. Boroun , Loyal Durand , Phuoc Ha

The spin structure functions of the proton and the deuteron were measured during the EG4 experiment at Jefferson Lab in 2006. Data were collected for longitudinally polarized electron scattering off longitudinally polarized NH$_3$ and…

Nuclear Experiment · Physics 2026-01-06 A. Deur , S. E. Kuhn , M. Ripani , X. Zheng , A. G. Acar , P. Achenbach , K. P. Adhikari , J. S. Alvarado , M. J. Amaryan , W. R. Armstrong , H. Atac , H. Avakian , L. Baashen , N. A. Baltzell , L. Barion , M. Bashkanov , M. Battaglieri , B. Benkel , F. Benmokhtar , A. Bianconi , A. S. Biselli , W. A. Booth , F. B ossu , P. Bosted , S. Boiarinov , K. Th. Brinkmann , W. J. Briscoe , S. Bueltmann , V. D. Burkert , D. S. Carman , P. Chatagnon , J. P. Chen , G. Ciullo , P. L. Cole , M. Contalbrigo , V. Crede , A. D'Angelo , N. Dashyan , R. De Vita , M. Defurne , S. Diehl , C. Djalali , V. A. Drozdov , R. Dupre , H. Egiyan , A. El Alaoui , L. El Fassi , L. Elouadrhiri , P. Eugenio , J. C. Faggert , S. Fegan , R. Fersch , A. Filippi , K. Gates , G. Gavalian , G. P. Gilfoyle , R. W. Gothe , L. Guo , H. Hakobyan , M. Hattawy , F. Hauenstein , D. Heddle , A. Hobart , M. Holtrop , D. G. Ireland , E. L. Isupov , H. Jiang , H. S. Jo , S. Joosten , H. Kang , C. Keith , M. Khandaker , W. Kim , F. J. Klein , V. Klimenko , P. Konczykowski , K. Kovacs , A. Kripko , V. Kubarovsky , L. Lanza , S. Lee , P. Lenisa , X. Li , E. Long , I. J. D. MacGregor , D. Marchand , V. Mascagna , D. Matamoros , B. McKinnon , D. Meekins , S. Migliorati , T. Mineeva , M. Mirazita , V. Mokeev , C. Munoz-Camacho , P. Nadel-Turonski , T. Nagorna , K. Neupane , S. Niccolai , M. Osipenko , A. I. Ostrovidov , P. Pandey , M. Paolone , L. L. Pappalardo , R. Paremuzyan , E. Pasyuk , S. J. Paul , W. Phelps , S. K. Phillips , J. Pierce , N. Pilleux , M. Pokhrel , J. W. Price , Y. Prok , A. Radic , T. Reed , J. Richards , G. Rosner , P. Rossi , A. A. Rusova , C. Salgado , A. Schmidt , R. A. Schumacher , Y. G. Sharabian , E. V. Shirokov , U. Shrestha , S. Sirca , K. Slifer , N. Sparveris , M. Spreafico , S. Stepanyan , I. I. Strakovsky , S. Strauch , V. Sulkosky , J. A. Tan , M. Tenorio , N. Trotta , R. Tyson , M. Ungaro , D. W. Upton , S. Vallarino , L. Venturelli , H. Voskanyan , E. Voutier , D. P. Watts , X. Wei , M. H. Wood , N. Zachariou , J. Zhang , M. Zurek

Exact integral representations of spin one-point functions (ground state expectation values) are reported for the spin-1 analog of the XXZ model in the region $-1<q<0$. The method enables one to calculate arbitrary $n$-point functions in…

High Energy Physics - Theory · Physics 2008-02-03 Makoto Idzumi

We demonstrate that the large-spin expansion of the energy of Gubser-Klebanov-Polyakov (GKP) strings that rotate in RxS2 and AdS3 can be expressed in terms of Lambert's W-function. We compute the leading, subleading and next-to-subleading…

High Energy Physics - Theory · Physics 2021-05-27 Emmanuel Floratos , George Georgiou , Georgios Linardopoulos

We analyse the proton and deutron data on spin dependent asymmetry $A_1(x,Q^2)$ supposing the DIS structure functions $g_1(x,Q^2)$ and $F_3(x,Q^2)$ have the similar $Q^2$-dependence.

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Kotikov , D. V. Peshekhonov

We report on new results of the spin dependent structure functions $g_1$ and $h_1$ of the nucleon. An attempt is made to convert the moments, which is what one computes on the lattice, to quark distribution functions.

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Göckeler , R. Horsley , H. Perlt , P. Rakow , G. Schierholz , A. Schiller , P. Stephenson

A measurement of the proton spin structure function g1p(x,Q^2) in deep-inelastic scattering is presented. The data were taken with the 27.6 GeV longitudinally polarised positron beam at HERA incident on a longitudinally polarised pure…

High Energy Physics - Experiment · Physics 2009-04-15 A. Airapetian