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Related papers: The Drell-Hearn Sum Rule at Order Alpha**3

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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 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 propose to measure the high-energy behavior of the integrand of the Gerasimov-Drell-Hearn (GDH) sum rule on the proton and the neutron up to 12 GeV. The convergence of the GDH integral will be investigated for the first time and to high…

Nuclear Experiment · Physics 2020-08-26 M. M. Dalton , A. Deur , C. D. Keith , S. Širca , J. Stevens

The elastic contribution to the first moment of $g_2(x,Q^2)$ is analysed using a Drell-Yan-West type of relation and is shown to be negative. For a qualitative estimate the one-loop contributions to the polarized DIS sum rules in QED are…

High Energy Physics - Phenomenology · Physics 2009-10-30 I. V. Musatov , O. V. Teryaev , A. Schäfer

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 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

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

The status of the Gerasimov-Drell-Hearn sum rules for polarized inclusive photo-production on nucleons is reviewed. It is shown that results from currently available data compare favorably with an estimate based on an extended current…

High Energy Physics - Phenomenology · Physics 2009-10-28 Lay Nam Chang , Yigao Liang , Ron L. Workman

We study binding corrections to the gyromagnetic factor g_e of an electron in hydrogen-like ions. We argue that the leading order binding effects in radiative corrections Delta g_rad are universal to all orders in alpha/pi and the complete…

High Energy Physics - Phenomenology · Physics 2009-10-31 Andrzej Czarnecki , Kirill Melnikov , Alexander Yelkhovsky

Employing higher order perturbation theory, we obtain charged rotating black holes in odd dimensions, where the Einstein-Maxwell Lagrangian may be supplemented with a Chern-Simons term. Starting from the Myers-Perry solutions, we use the…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Masoud Allahverdizadeh , Jutta Kunz , Francisco Navarro-Lerida

Electron-impact ionization of atomic hydrogen with the electron's anomalous mag- netic moment (AMM) effects are examined. The formulas for the laser-assisted relativis- tic triple differential cross section (TDCS) in the coplanar binary…

Atomic Physics · Physics 2012-10-30 S. Taj , B. Manaut , M. El Idrissi , Y. Attaourti , L. Oufni

The spin structure of the nucleon resonance region is analyzed on the basis of our phenomenological model MAID. Predictions are given for the Gerasimov-Drell-Hearn sum rule as well as generalized integrals over spin structure functions. The…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. Drechsel , S. S. Kamalov , L. Tiator

The Schwinger sum rule is presented as a new promising tool to study the hadronic contributions to the muon anomalous magnetic moment. In particular, we show preliminary results for the light-by-light scattering contribution of pseudoscalar…

High Energy Physics - Phenomenology · Physics 2019-07-17 Franziska Hagelstein , Vladimir Pascalutsa

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

We derive a general procedure for evaluating the ${\rm n}$th derivative of a time-dependent operator in the Heisenberg representation and employ this approach to calculate the zeroth to third spectral moment sum rules of the retarded…

Strongly Correlated Electrons · Physics 2023-02-14 Khadijeh Najafi , J. Alexander Jacoby , R. D. Nesselrodt , J. K. Freericks

We test the Gerasimov-Drell-Hearn (GDH) sum rule numerically by calculating the total photon absorption cross sections $\sigma_{1/2}$ and $\sigma_{3/2}$ on the nucleon via photon excitation of baryon resonances in the constituent quark…

Nuclear Theory · Physics 2010-02-17 W. X. Ma , D. H. Lu , A. W. Thomas , Z. P. Li

Sum rules for the energy levels of a hyperfine multiplet in a constant uniform magnetic field is presented. It is found that for any values of the electron angular moment and the nuclear spin there are certain linear combinations of energy…

Atomic Physics · Physics 2014-11-04 Savely G. Karshenboim

An explicit evaluation of the spin asymmetry of the deuteron and the associated GDH sum rule is presented which includes photodisintegration, single and double pion and eta production as well. Photodisintegration is treated with a realistic…

Nuclear Theory · Physics 2009-11-10 Hartmuth Arenhövel , Alexander Fix , Michael Schwamb

We calculate the anomalous magnetic moment of the electron in the Chern-Simons theory in 2+1 dimensions with and without a Maxwell term, both at zero temperature as well as at finite temperature. In the case of the Maxwell-Chern-Simons…

High Energy Physics - Theory · Physics 2008-11-26 Ashok Das , Silvana Perez

This is the continuation of a previous article, in which the Bjorken and Voloshin sum rules were interpreted as statements of conservation of probability and energy. Here the formalism is extended to higher moments of the Hamiltonian…

High Energy Physics - Phenomenology · Physics 2014-11-17 Chi-Keung Chow , Dan Pirjol