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We present a detailed derivation of the two sum rules relating the spin polarizabilities measured in real, virtual, and doubly-virtual Compton scattering. For example, the polarizability $\delta_{LT}$, accessed in inclusive electron…

High Energy Physics - Phenomenology · Physics 2017-04-04 Vadim Lensky , Vladimir Pascalutsa , Marc Vanderhaeghen , Chung Wen Kao

We study spin-dependent sum rules for forward virtual Compton scattering(VVCS) off the nucleon in heavy baryon chiral perturbation theory at order $O(p^4)$. We show how these sum rules can be evaluated from low energy expansions (in the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Chung Wen Kao , Thomas Spitzenberg , Marc Vanderhaeghen

In this paper we discuss effective strong coupling constants. Those are well behaved in the low-Q^2 domain, contrarily to alpha_s from pQCD. We present an extraction of an effective strong coupling constant from Jefferson Lab polarized data…

High Energy Physics - Phenomenology · Physics 2009-08-24 A. Deur

I review the constituent contributions to the spin of the proton extracted from recent data at CERN, SLAC and DESY. The valence, sea quark and antiquark spin-weighted distributions are determined separately. The data appear to imply a small…

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

We present new data on the Bjorken sum $\overline \Gamma_1^{p-n}(Q^2)$ at 4-momentum transfer $ 0.021 \leq Q^2 \leq 0.496$ GeV$^2$. The data were obtained in two experiments performed at Jefferson Lab: EG4 on polarized protons and…

The Gerasimov-Drell-Hearn sum rule is one of several dispersive sum rules that connect the Compton scattering amplitudes to the inclusive photoproduction cross sections of the target under investigation. Being based on such universal…

Nuclear Theory · Physics 2009-11-10 Dieter Drechsel , Lothar Tiator

The experimental data obtained for the polarized Bjorken sum rule \Gamma^{(p-n)}_1(Q^2) for small values of Q2 are approximated by the predictions obtained in the framework of analytic QCD up to the 5th order perturbation theory, whose…

High Energy Physics - Phenomenology · Physics 2023-09-26 I. R. Gabdrakhmanov , N. A Gramotkov , A. V. Kotikov , D. A. Volkova , I. A. Zemlyakov

We study the polarized Bjorken sum rule at low momentum transfer squared Q2<3GeV2 in the twist-two approximation and to the next-to-next-to-leading order accuracy.

High Energy Physics - Phenomenology · Physics 2013-01-01 A. V. Kotikov , B. G. Shaikhatdenov

We present a NLO perturbative analysis of all available data on the polarized structure function g_1(x,Q^2) with the aim of making a quantitative test of the validity of the Bjorken sum rule, of measuring \alpha_s, and of deriving helicity…

High Energy Physics - Phenomenology · Physics 2009-10-30 Guido Altarelli , Richard D. Ball , Stefano Forte , Giovanni Ridolfi

New relations between Bjorken polarized, Gross-Llewellyn Smith and Bjorken unpolarized sum rules are proposed. They are based on the ``universality'' of the perturbative and non-perturbative $\rm{1/Q^2}$ contributions to these sum rules.…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. L. Kataev

We present the results of [1], where good agreement was obtained between calculations within the framework of analytic QCD and experimental data on polarized Bjorken sum rule. The photoproduction limit was also considered and a new…

High Energy Physics - Phenomenology · Physics 2024-07-04 I. R. Gabdrakhmanov , N. A Gramotkov , A. V. Kotikov , O. V. Teryaev , D. A. Volkova , I. A. Zemlyakov

In the past year, polarized deep inelastic scattering experiments at CERN and SLAC have obtained structure function measurements off proton, neutron and deuteron targets at a level of precision never before achieved. The measurements can be…

High Energy Physics - Phenomenology · Physics 2010-04-06 T. Gehrmann , W. J. Stirling

A phenomenological parameterization of the proton polarized structure function has been developed for x > 0.02 using deep inelastic data up to ~ 50 (GeV/c)**2 as well as available experimental results on both photo- and electro-production…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. Simula , M. Osipenko , G. Ricco , M. Taiuti

We present details of study of the Bjorken polarized sum rule carried out recently in [1] within the range of energies where the data were collected by JLAB collaboration, 0.05 GeV2 < Q2 < 3 GeV2. Three approaches to QCD with analytic…

High Energy Physics - Phenomenology · Physics 2018-02-14 C. Ayala , G. Cvetic , A. V. Kotikov , B. G. Shaikhatdenov

New results for the double spin asymmetry $A_1^{\rm p}$ and the proton longitudinal spin structure function $g_1^{\rm p}$ are presented. They were obtained by the COMPASS collaboration using polarised 200 GeV muons scattered off a…

High Energy Physics - Experiment · Physics 2016-01-20 C. Adolph , R. Akhunzyanov , M. G. Alexeev , G. D. Alexeev , A. Amoroso , V. Andrieux , V. Anosov , A. Austregesilo , C. Azevedo , B. Badelek , F. Balestra , J. Barth , G. Baum , G. R. Beck , Y. Bedfer , J. Bernhard , K. Bicker , E. R. Bielert , R. Birsa , J. Bisplinghoff , M. Bodlak , M. Boer , P. Bordalo , F. Bradamante , C. Braun , A. Bressan , M. Buechele , E. Burtin , L. Capozza , W. -C. Chang , M. Chiosso , I. Choi , S. U. Chung , A. Cicuttin , M. L. Crespo , Q. Curiel , S. Dalla Torre , S. S. Dasgupta , S. Dasgupta , O. Yu. Denisov , L. Dhara , S. V. Donskov , N. Doshita , V. Duic , M. Dziewiecki , A. Efremov , P. D. Eversheim , W. Eyrich , 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 , F. Giordano , I. Gnesi , M. Gorzellik , S. Grabmüller , A. Grasso , M. Grosse-Perdekamp , B. Grube , T. Grussenmeyer , A. Guskov , F. Haas , D. Hahne , D. von Harrach , R. Hashimoto , F. H. Heinsius , F. Herrmann , F. Hinterberger , N. Horikawa , N. d'Hose , C. -Yu Hsieh , S. Huber , S. Ishimoto , A. Ivanov , Yu. Ivanshin , T. Iwata , R. Jahn , V. Jary , P. Jörg , R. Joosten , E. Kabuß , B. Ketzer , G. V. Khaustov , Yu. A. Khokhlov , Yu. Kisselev , F. Klein , K. Klimaszewski , J. H. Koivuniemi , V. N. Kolosov , K. Kondo , K. Koenigsmann , I. Konorov , V. F. Konstantinov , A. M. Kotzinian , O. Kouznetsov , M. Kraemer , P. Kremser , F. Krinner , Z. V. Kroumchtein , N. Kuchinski , F. Kunne , K. Kurek , R. P. Kurjata , A. A. Lednev , A. Lehmann , M. Levillain , S. Levorato , J. Lichtenstadt , R. Longo , A. Maggiora , A. Magnon , N. Makins , N. Makke , G. K. Mallot , C. Marchand , A. Martin , J. Marzec , J. Matousek , H. Matsuda , T. Matsuda , G. Meshcheryakov , W. Meyer , T. Michigami , Yu. V. Mikhailov , Y. Miyachi , A. Nagaytsev , T. Nagel , F. Nerling , D. Neyret , V. I. Nikolaenko , J. Novy , W. -D. Nowak , A. S. Nunes , A. G. Olshevsky , I. Orlov , M. Ostrick , D. Panzieri , B. Parsamyan , S. Paul , J. -C. Peng , F. Pereira , M. Pesek , D. V. Peshekhonov , S. Platchkov , J. Pochodzalla , V. A. Polyakov , J. Pretz , M. Quaresma , C. Quintans , S. Ramos , C. Regali , G. Reicherz , C. Riedl , E. Rocco , N. S. Rossiyskaya , D. I. Ryabchikov , A. Rychter , V. D. Samoylenko , A. Sandacz , C. Santos , S. Sarkar , I. A. Savin , G. Sbrizzai , P. Schiavon , K. Schmidt , H. Schmieden , K. Schoenning , S. Schopferer , A. Selyunin , O. Yu. Shevchenko , L. Silva , L. Sinha , S. Sirtl , M. Slunecka , F. Sozzi , A. Srnka , M. Stolarski , M. Sulc , H. Suzuki , A. Szabelski , T. Szameitat , P. Sznajder , S. Takekawa , J. ter Wolbeek , S. Tessaro , F. Tessarotto , F. Thibaud , F. Tosello , V. Tskhay , S. Uhl , J. Veloso , M. Virius , T. Weisrock , M. Wilfert , K. Zaremba , M. Zavertyaev , E. Zemlyanichkina , M. Ziembicki , A. Zink

We discuss various estimates of the magnitude of higher-twist corrections to the Bjorken sum rule in polarized deep inelastic scattering.

High Energy Physics - Phenomenology · Physics 2007-05-23 Lech Mankiewicz , Eckart Stein , Andreas Schäfer

We study the available data in polarized e-p deep inelastic scattering to test two different solutions to the so called spin crisis: one of them based on the axial gluon anomaly and consistent with the Bjorken sum rule and another one,…

High Energy Physics - Phenomenology · Physics 2008-02-03 C. Bourrely , F. Buccella , O. Pisanti , P. Santorelli , J. Soffer

The spin structure of the nucleon is analyzed in the framework of a Lorentz-invariant formulation of baryon chiral perturbation theory. The structure functions of doubly virtual Compton scattering are calculated to one-loop accuracy (fourth…

High Energy Physics - Phenomenology · Physics 2009-11-07 Véronique Bernard , Thomas R. Hemmert , Ulf-G. Meißner

We review the theory of polarized deep inelastic scattering in light of the most recent experimental data. We discuss the nucleon spin decomposition and the Bjorken sum rule. The latter is used for extraction of…

High Energy Physics - Phenomenology · Physics 2008-02-03 John Ellis , Marek Karliner

In the leading order of the heavy quark expansion, we propose a method within the OPE and the trace formalism, that allows to obtain, in a systematic way, Bjorken-like sum rules for the derivatives of the elastic Isgur-Wise function…

High Energy Physics - Phenomenology · Physics 2011-01-25 A. Le Yaouanc , L. Oliver , J. -C. Raynal