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We emphasise the relation between the spin structure of the proton and the axial U(1) problem. New experiments motivated by the proton spin problem which could shed light on the nature of U(1) symmetry breaking in QCD are discussed.

High Energy Physics - Phenomenology · Physics 2009-11-07 Steven D. Bass

In the isovector reaction, the sum rule for the spin dependent function $g_1$ which is related to the cross section of the photoproduction is derived. In the small $Q^2$ region, the sum rule is dominated by the low energy contribution and…

High Energy Physics - Phenomenology · Physics 2014-11-18 Susumu Koretune

Spin is a fundamental degree of freedom, whose existence was proven by Dirac for an electron by imposing the relativity to quantum mechanics, leading to the triumph to derive the Dirac equation. Spin of a photon should be linked to…

Optics · Physics 2024-07-23 Shinichi Saito

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

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

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

Nucleon structure study is one of the most important research areas in modern physics and has challenged us for decades. Spin has played an essential role and often brought surprises and puzzles to the investigation of the nucleon structure…

Nuclear Experiment · Physics 2011-01-28 Jian-ping Chen

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

The Cottingham formula expresses the electromagnetic part of the mass of a particle in terms of the virtual Compton scattering amplitude. At large photon momenta, this amplitude is dominated by short distance singularities associated with…

High Energy Physics - Phenomenology · Physics 2021-01-27 J. Gasser , H. Leutwyler , A. Rusetsky

We examine the role of consistency with causality and quantum mechanics in determining the properties of gravitation. We begin by examining two different classes of interacting theories of massless spin 2 particles -- gravitons. One…

High Energy Physics - Theory · Physics 2020-12-24 Mark P. Hertzberg

The Burkhardt--Cottingham sum rule is an exact superconvergence relation for a spin-structure function, derived from general principles of light absorption and scattering, and valid at any momentum transfer $Q^2$. I illustrate how a class…

High Energy Physics - Phenomenology · Physics 2025-10-22 Vladimir Pascalutsa

So far, the Standard Model of Elementary Particles has not succeeded getting a trustworthy account of the proton spin, which remains an enigma. This hindrance is known as the proton spin crisis, owing to the experimental evidence already…

General Physics · Physics 2009-12-31 G. Sardin

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

A relativistic interpretation for why the proton's $G_E/G_M$ falls and $QF_2/F_1$ is approximately constant is presented. Reproducing the observed $G_E^n$ mandates the inclusion of the effects of the pion cloud. The full relativistic model…

Nuclear Theory · Physics 2007-05-23 Gerald A. Miller

We review the status of a Fubini-Furlan-Rossetti sum rule for the photoproduction of pions from nucleons, indicating how well this sum rule is satisfied using a recent analysis of pion photoproduction data. Our results are discussed in…

Nuclear Theory · Physics 2016-09-08 Richard A. Arndt , Ron L. Workman

In this work we suggest a simple theoretical model of the proton able to effectively solve proton spin crisis. Within domain of applicability of this simple model proton consists only of two u quarks and one d quarks (two of which have spin…

General Physics · Physics 2014-12-16 Vladan Pankovic

The proton spin puzzle has inspired a vast programme of experiments and theoretical work challenging our understanding of QCD and its role in the structure of hadrons.The proton's internal spin structure is connected to chiral symmetry and,…

High Energy Physics - Phenomenology · Physics 2024-01-26 Steven D. Bass

Spin-polarizabilities are predicted by calculating the cross-section difference $\sigma_{3/2}-\sigma_{1/2}$ from available data for the resonance couplings $A_{3/2}$ and $A_{1/2}$ and CGLN amplitudes. The forward spin-polarizabilities are…

High Energy Physics - Phenomenology · Physics 2013-06-26 Martin Schumacher , M. I. Levchuk

It is shown that the widely used parton model expression for $ g_1$ in polarized proton-lepton scattering is incorrect as it ignores gluon-quark spin entanglement. Therefore, there is no spin crisis. A brief summary of results of the…

High Energy Physics - Phenomenology · Physics 2025-08-19 J. Pasupathy , Janardhan P. Singh

The forward Compton scattering off the proton is determined by substituting the empirical total photoabsorption cross sections into dispersive sum rules. In addition to the spin-independent amplitude evaluated previously [Phys. Rev. D 92,…

Nuclear Theory · Physics 2016-09-07 Oleksii Gryniuk , Franziska Hagelstein , Vladimir Pascalutsa
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