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Related papers: Spin dependent structure function $g_1$ at small $…

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The spin dependent structure functions, g$_{1p}$ of the proton and g$_{1n}$ of the neutron, calculated in the nucleon rest frame using a relativistic quark model wave function, are compared with recent experiments.

High Energy Physics - Phenomenology · Physics 2016-09-01 Jerrold Franklin

Our previous calculation of the spin-dependent structure function g_2 is revisited. The interest in this structure function is to a great extent motivated by the fact that it receives contributions from twist-two as well as from twist-three…

High Energy Physics - Lattice · Physics 2008-11-26 M. Gockeler , R. Horsley , W. Kurzinger , H. Oelrich , D. Pleiter , P. E. L. Rakow , A. Schafer , G. Schierholz

The longitudinal double spin asymmetries $A_1^p$ and the spin dependent structure function of the proton $g_1^p$ were extracted from COMPASS data in the region of low Bjorken scaling variable $x$ and low photon virtuality $Q^2$. The data…

High Energy Physics - Experiment · Physics 2019-08-13 A. S. Nunes

We study the $Q^2$ variation of the first moment of the nucleon's spin-dependent structure function $G_1$. As $Q^2 \rightarrow 0$ the moment is determined by the low energy theorem for Compton scattering. In the deep-inelastic region the…

High Energy Physics - Phenomenology · Physics 2009-10-22 Xiangdong Ji , Peter Unrau

The perturbative QCD predictions for the small $x$ behaviour of the nucleon structure functions $F_{2,L}(x,Q^2)$ and $g_1(x,Q^2)$ are summarized. The importance of the double logarithmic terms for the small $x$ behaviour of the spin…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Kwiecinski

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 present a precise measurement of the deuteron longitudinal spin asymmetry A_1^d and of the deuteron spin-dependent structure function g_1^d at Q^2 < 1 GeV^2 and 4*10^-5 < x < 2.5*10^-2 based on the data collected by the COMPASS…

High Energy Physics - Experiment · Physics 2008-11-26 The Compass Collaboration , E. S. Ageev

The perturbative QCD predictions concerning deep inelastic scattering at low $x$ are summarized. The theoretical framework based on the leading log $1/x$ resummation and $k_t$ factorization theorem is described and some recent developments…

High Energy Physics - Phenomenology · Physics 2010-03-25 J. Kwiecinski

Explicit expressions for the non-singlet and singlet structure functions g_1 at the small $x$-region are obtained. They include the total resummation of double-logarithmic contributions and accounting for the running QCD coupling effects.…

High Energy Physics - Phenomenology · Physics 2016-09-06 B. I. Ermolaev , M. Greco , S. I. Troyan

We show that if the Lorentz transformation properties of diffraction are other than scalar, the $x \rightarrow 0$ behaviour of $g_1(x,Q^2)$ can grow. We compare with new data on $g_1^p$ from SMC, assess implications for sum rules and for…

High Energy Physics - Phenomenology · Physics 2009-10-28 F. E. Close , R. G. Roberts

A unified equation for the non-singlet spin dependent structure function $g_1^{ns}(x,Q^2)$ which incorporates the complete leading order Altarelli-Parisi evolution at finite $x$ and double logarithmic $ ln^2(1/x)$ effects at $x \to 0$ is…

High Energy Physics - Phenomenology · Physics 2014-11-17 B. Badełek , J. Kwieciński

Theoretical predictions for polarized nucleon structure function $g_1(x,Q^2)$ at low $Q^2$ are obtained in the framework of the Generalized Vector Meson Dominance model. Contributions from both light and heavy vector mesons are evaluated.…

High Energy Physics - Phenomenology · Physics 2011-09-13 Barbara Badełek , Jan Kwieciński , Beata Ziaja

The structure functions g1p and g1n have been measured over the range 0.014 < x < 0.9 and 1 < Q2 < 40 GeV2 using deep-inelastic scattering of 48 GeV longitudinally polarized electrons from polarized protons and deuterons. We find that the…

High Energy Physics - Phenomenology · Physics 2016-09-06 The E155 Collaboration , P. L. Anthony

We measured the $g_1$ spin structure function of the deuteron at low $Q^{2}$, where QCD can be approximated with chiral perturbation theory ($\chi$PT). The data cover the resonance region, up to an invariant mass of $W\approx1.9$~GeV. The…

Nuclear Experiment · Physics 2022-02-21 K. P. Adhikari , A. Deur , L. El Fassi , H. Kang , S. E. Kuhn , M. Ripani , K. Slifer , X. Zheng , S. Adhikari , Z. Akbar , M. J. Amaryan , H. Avakian , J. Ball , I. Balossino , L. Barion , M. Battaglieri , I. Bedlinskiy , A. S. Biselli , P. Bosted , W. J. Briscoe , J. Brock , S. Bueltmann , V. D. Burkert , F. Thanh Cao , C. Carlin , D. S. Carman , A. Celentano , G. Charles , J. -P. Chen , T. Chetry , S. Choi , G. Ciullo , L. Clark , P. L. Cole , M. Contalbrigo , V. Crede , A. D'Angelo , N. Dashyan , R. De Vita , E. De Sanctis , M. Defurne , C. Djalali , G. E. Dodge , V. Drozdov , R. Dupre , H. Egiyan , A. El Alaoui , L. Elouadrhiri , P. Eugenio , G. Fedotov , A. Filippi , Y. Ghandilyan , G. P. Gilfoyle , E. Golovatch , R. W. Gothe , K. A. Griffioen , M. Guidal , N. Guler , L. Guo , K. Hafidi , H. Hakobyan , C. Hanretty , N. Harrison , M. Hattawy , D. Heddle , K. Hicks , M. Holtrop , C. E. Hyde , Y. Ilieva , D. G. Ireland , E. L. Isupov , D. Jenkins , H. S. Jo , S. C. Johnston , K. Joo , S. Joosten , M. L. Kabir , C. D. Keith , D. Keller , G. Khachatryan , M. Khachatryan , M. Khandaker , W. Kim , A. Klein , F. J. Klein , P. Konczykowski , K. Kovacs , V. Kubarovsky , L. Lanza , P. Lenisa , K. Livingston , E. Long , I . J . D. MacGregor , N. Markov , M. Mayer , B. McKinnon , D. G. Meekins , C. A. Meyer , T. Mineeva , M. Mirazita , V. Mokeev , A Movsisyan , C. Munoz Camacho , P. Nadel-Turonski , G. Niculescu , S. Niccolai , M. Osipenko , A. I. Ostrovidov , M. Paolone , L. Pappalardo , R. Paremuzyan , K. Park , E. Pasyuk , D. Payette , W. Phelps , S. K. Phillips , J. Pierce , O. Pogorelko , J. Poudel , J. W. Price , Y. Prok , D. Protopopescu , B. A. Raue , A. Rizzo , G. Rosner , P. Rossi , F. Sabatie , C. Salgado , R. A. Schumacher , Y. G. Sharabian , T. Shigeyuki , A. Simonyan , Iu. Skorodumina , G. D. Smith , N. Sparveris , D. Sokhan , S. Stepanyan , I. I. Strakovsky , S. Strauch , V. Sulkosky , M. Taiuti , J. A. Tan , M. Ungaro , E. Voutier , X. Wei , L. B. Weinstein , J. Zhang , Z. W. Zhao.

Two spin-dependent structure functions $\hat g_1$ and $\hat g_2$ for the inclusive spin-half baryon production in electron-positron annihilation are studied in the context of QCD factorization as well as in the naive quark parton model. As…

High Energy Physics - Phenomenology · Physics 2009-10-28 Wei Lu , Xue Qian Li , Haiming Hu

The recent high statistics NMC data on the Tin to Carbon structure function ratio seems to indicate, for the first time, a significant $Q^2$ dependence, especially at small values of Bjorken $x$, $x < 0.05$, and $Q^2 > 1 GeV^2$. Pure…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Indumathi

We discuss perturbative evolution of the polarized structure function g_1 in the (x,Q^2) plane, with special regard to the small-x region. We determine g_1 in terms of polarized quark and gluon distributions using coefficient functions to…

High Energy Physics - Phenomenology · Physics 2009-10-28 R. D. Ball , S. Forte , G. Ridolfi

We examine the behaviour of the polarised structure function data for g_1(x) in the region of small x (~0.01 to 0.1) for the various available targets (proton, neutron and deuteron) with the aim of clarifying what may be safely deduced with…

High Energy Physics - Phenomenology · Physics 2007-05-23 Mehrdad Goshtasbpour , Philip G. Ratcliffe

A recent lattice calculation of the spin-dependent structure function g_2 is revisited. It has been recognized that the twist-three operator, which gives rise to d_2, mixes non-perturbatively with operators of lower dimensions under…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Göckeler , R. Horsley , W. Kürzinger , H. Oelrich , P. Rakow , G. Schierholz

Measurements are reported of the proton and deuteron spin structure functions g1 at beam energies of 29.1, 16.2, and 9.7 GeV and g2 at a beam energy of 29.1 GeV. The integrals of g1 over x have been evaluated at fixed Q**2 = 3 (GeV/c)**2…

High Energy Physics - Phenomenology · Physics 2012-08-27 E143 collaboration