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The questions on the presense and quantitative role of the constant terms in the real part of the high-energy photon-nucleon and photon-nucleus amplitudes representing the contribution of the non-Regge (the fixed j=0-pole) singularities in…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. B. Gerasimov

We generalize forward real Compton amplitude to the case of the interference of the electromagnetic and weak neutral current, formulate a low-energy theorem, relate the new amplitudes to the interference structure functions and obtain a new…

Nuclear Theory · Physics 2015-01-23 Mikhail Gorchtein , Xilin Zhang

The amplitude of zero angle scattering of electron on photon in the 3-rd QED order of fine structure constant with $\gamma^*\gamma$ intermediate state converting into quark--antiquark is considered. Utilizing analytic properties of elastic…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Bartos , S. Dubnicka , A. Z. Dubnickova , E. A. Kuraev

We evaluate the forward Compton scattering off the proton, based on Kramers-Kronig kind of relations which express the Compton amplitudes in terms of integrals of total photoabsorption cross sections. We obtain two distinct fits to the…

Nuclear Theory · Physics 2015-10-28 Oleksii Gryniuk , Franziska Hagelstein , Vladimir Pascalutsa

The status of Compton scattering by the nucleon at energies of the first and second resonance is summarized. In addition to a general test of dispersion theories and a precise determination of polarizabilities, the validities of four…

Nuclear Experiment · Physics 2013-06-26 Martin Schumacher

The Gerasimov-Drell-Hearn and Baldin-Lapidus sum rules are evaluated in the dressed K-matrix model for photon-induced reactions on the nucleon. For the first time the sum $\alpha+\beta$ of the electric and magnetic polarisabilities and the…

Nuclear Theory · Physics 2009-11-07 S. Kondratyuk , O. Scholten

I extend the well-known photonuclear sum rule that relates the strength of the photoexcitation of the giant dipole resonance in a nucleus to the number of elementary scatterers-nucleons to the case of virtual photons. The new sum rule…

Nuclear Theory · Physics 2015-11-30 Mikhail Gorchtein

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 two photon exchange amplitude is investigated in frame of analytic properties of the virtual Compton scattering amplitude as a function of the invariant mass squared of the intermediate hadronic state. A sum rule is built, based on…

High Energy Physics - Phenomenology · Physics 2007-11-21 E. A. Kuraev , S. Bakmaev , E. Tomasi-Gustafsson , V. V. Bytev

We re-analyze data on deep inelastic polarized lepton-nucleon scattering, with particular attention to testing the Bjorken sum rule and estimating the quark contributions to the nucleon spin. Since only structure function data at fixed…

High Energy Physics - Phenomenology · Physics 2009-09-25 John Ellis , Marek Karliner

We formulate the low energy theorem for virtual Compton scattering off a nucleon and examine its consequences for generalized nucleon polarizabilites. As a result of a new, model independent definition of the low energy limit for VVCS…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Gorchtein , A. P. Szczepaniak

The Cottingham formula expresses the leading contribution of the electromagnetic interaction to the proton-neutron mass difference as an integral over the forward Compton amplitude. Since quarks and gluons reggeize, the dispersive…

High Energy Physics - Phenomenology · Physics 2020-12-30 J. Gasser , H. Leutwyler , A. Rusetsky

Formulas to describe the photoabsorption and the photon scattering by a plasma or a liquid metal are derived in a unified manner with each other. It is shown how the nuclear motion, the free-electron motion and the core-electron behaviour…

Materials Science · Physics 2009-10-31 Junzo Chihara

The nuclear electric polarizability is theoretically analyzed using a sum rule derived from the longitudinal part of the forward Compton amplitude. Beyond the leading dipole contribution, this approach leads to the presence of…

Nuclear Theory · Physics 2009-10-31 J. Bernabeu , D. Gomez Dumm , G. Orlandini

It is reviewed how Compton scattering sum rules relate low-energy nucleon structure quantities to the nucleon excitation spectrum. In particular, the GDH sum rule and recently proposed extensions of it will be discussed. These extensions…

High Energy Physics - Phenomenology · Physics 2014-11-18 Marc Vanderhaeghen

The difference between the electromagnetic self-energies of proton and neutron can be calculated with the Cottingham formula, which expresses the self-energies as an integral over the electroproduction cross sections---provided the nucleon…

High Energy Physics - Phenomenology · Physics 2020-03-31 J. Gasser , M. Hoferichter , H. Leutwyler , A. Rusetsky

Compton scattering on light nuclei ($A=2,3$) has emerged as an effective avenue to search for signatures of neutron polarizabilities, both spin--independent and spin--dependent ones. In this discussion I will focus on the theoretical aspect…

Nuclear Theory · Physics 2015-05-14 Deepshikha Shukla

Following the idea of the quark-hadron duality we present, within the constituent quark model approach, the relations between different bremsstrahlung-weihgted integrals of the nucleon resonance photoexcitation cross sections and…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. B. Gerasimov

We investigate the transition to perturbative QCD in Compton processes, by concentrating on the specific reactions $\pi \gamma \to \pi \gamma$ and pion photoproduction at moderate energy scales. New sum rules for each of the helicities…

High Energy Physics - Phenomenology · Physics 2011-08-17 Claudio Coriano' , Hsiang-nan Li

The Thomas-Reiche-Kuhn sum rule is a fundamental consequence of the position-momentum commutation relation for an atomic electron and it provides an important constraint on the transition matrix elements for an atom. Here we propose a TRK…

Quantum Physics · Physics 2021-03-23 Salvatore Savasta , Omar Di Stefano , Franco Nori
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