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The formulation of the Gerasimov-Drell-Hearn sum rule is revisited, showing its connection with other sum rules occurring in electron scattering and discussing the problem of its saturation, both from the theoretical and experimental point…

Nuclear Theory · Physics 2017-08-23 M. M. Giannini

The Gerasimov-Drell-Hearn sum rule is evaluated for the deuteron by explicit integration up to a photon energy of 550 MeV including contributions from the photodisintegration channel and from coherent and incoherent single pion production…

Nuclear Theory · Physics 2009-10-30 H. Arenhoevel , G. Kress , R. Schmidt , P. Wilhelm

We elaborate on a recently proposed extension of the Gerasimov-Drell-Hearn (GDH) sum rule which is achieved by taking derivatives with respect to the anomalous magnetic moment. The new sum rule features a {\it linear} relation between the…

High Energy Physics - Phenomenology · Physics 2014-11-18 B. R. Holstein , V. Pascalutsa , M. Vanderhaeghen

The Gerasimov-Drell-Hearn sum rule is evaluated for the deuteron by explicit integration up to 550 MeV including contributions from the photodisintegration channel and from coherent and incoherent single pion production as well. The…

Nuclear Theory · Physics 2015-06-26 H. Arenhoevel , G. Kress , R. Schmidt , P. Wilhelm

The generalized Gerasimov-Drell-Hearn sum rule $I^{GDH}_{\gamma^*d}(Q^2)$ for deuteron electrodisintegration $d(e,e')np$ as function of the squared four-momentum transfer $Q^2$ is evaluated by explicit integration. The calculation is based…

Nuclear Theory · Physics 2009-11-10 Hartmuth Arenhoevel

We examine the energy dependence of single-meson photoproduction as it contributes to the Gerasimov-Drell-Hearn (GDH) sum rule. For photon energies above approximately 1 GeV, through the full resonance region, this contribution dominates…

Nuclear Theory · Physics 2009-11-11 R. A. Arndt , W. J. Briscoe , I. I. Strakovsky , R. L. Workman

A description of the generalized Gerasimov-Drell-Hearn sum rule for neutron is suggested, using its relation to the Burkhardt-Cottingham sum rule.

High Energy Physics - Phenomenology · Physics 2009-10-30 J. Soffer , O. V. Teryaev

The long-standing discrepancy between the Gerasimov-Drell-Hearn sum rule and the analysis of pion photoproduction multipoles is greatly diminished by use of s-wave multipoles that are in accord with the predictions of chiral perturbation…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. Drechsel , G. Krein

We show that the Drell-Hearn-Gerasimov sum rule for the nucleon is entirely saturated by the \Delta resonance in the limit of a large number of colors, N_c \to \infty. Corrections are at relative order 1/N_c^2.

High Energy Physics - Phenomenology · Physics 2009-10-31 Thomas D. Cohen , Xiangdong Ji

All derivations of the GDH sum rule are presented and discussed in detail, focussing particularly on the validity of the underlying assumptions. Several tests of the sum rule within perturbative models are reviewed. Various possible sources…

High Energy Physics - Phenomenology · Physics 2009-09-25 Ralf Pantfoerder

The Drell-Hearn-Gerasimov sum rule for the deuteron is studied in nuclear effective field theory. The low-energy theorem for the spin-dependent Compton amplitude $f_1(\omega)$ is derived to the next-to-leading order in low-energy expansion.…

Nuclear Theory · Physics 2010-04-05 Jiunn-Wei Chen , Xiangdong Ji , Yingchuan Li

We calculate the forward spin-dependent photon-nucleon Compton amplitudes $S_1$ and $S_2$ as functions of photon energy $\nu$ and mass $Q^2$ at the next-to-leading (${\cal O}(p^4)$) order in chiral perturbation theory, from which we extract…

High Energy Physics - Phenomenology · Physics 2008-11-26 Xiangdong Ji , Chung-Wen Kao , Jonathan Osborne

Starting from very high energy inelastic electron-nucleon scattering with a production of a hadronic state $X$ to be moved closely to the direction of the initial nucleon, then utilizing analytic properties of parts of forward virtual…

High Energy Physics - Phenomenology · Physics 2011-07-19 E. Bartos , E. A. Kuraev , S. Dubnicka

The nucleon has been used as a laboratory to investigate its own spin structure and Quantum Chromodynamics. New experimental data on nucleon spin structure at low to intermediate momentum transfers combined with existing high momentum…

Nuclear Experiment · Physics 2009-11-11 J. -P. Chen , A. Deur , Zein-Eddine Meziani

The virtual photon absorption cross section differences [sigma_1/2-sigma_3/2] for the proton and neutron have been determined from measurements of polarised cross section asymmetries in deep inelastic scattering of 27.5 GeV longitudinally…

High Energy Physics - Experiment · Physics 2008-11-26 K. Ackerstaff

The Drell-Hearn-Gerasimov sum-rule is really two sum-rules: one for each of the valence and the sea/glue contributions to the nucleon wavefunction. The convergence of these sum-rules follows from the Froissart bound for spin dependent…

High Energy Physics - Phenomenology · Physics 2009-10-28 S. D. Bass

The generalized Baldin sum rule for virtual photon scattering, the unpolarized analogy of the generalized Gerasimov-Drell-Hearn integral, provides an important way to investigate the transition between perturbative QCD and hadronic…

Nuclear Experiment · Physics 2014-11-18 Y. Liang , M. E. Christy , R. Ent , C. E. Keppel

The theoretical uncertainty of $(g-2)_\mu $ is currently dominated by hadronic contributions. In order to express those in terms of directly measurable quantities, we consider a sum rule relating $g-2$ to an integral of a photo-absorption…

High Energy Physics - Phenomenology · Physics 2018-03-02 Franziska Hagelstein , Vladimir Pascalutsa

A description of the virtual photon absorption cross section difference \sigma_{1/2}-\sigma_{3/2} for the proton and the neutron is obtained with a parameterisation based on a Regge type approach. The parameterisation is obtained from…

High Energy Physics - Phenomenology · Physics 2009-10-31 Nicola Bianchi , Eric Thomas