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We investigate the low-energy behavior of the four-point Green's function $\Gamma^{\mu\nu}$ describing virtual Compton scattering off the nucleon. Using Lorentz invariance, gauge invariance, and crossing symmetry, we derive the leading…

Nuclear Theory · Physics 2008-11-26 S. Scherer , A. Yu. Korchin , J. H. Koch

We perform an expansion of the virtual Compton scattering amplitude for low energies and low momenta and show that this expansion covers the transition from the regime to be investigated in the scheduled photon electroproduction experiments…

Nuclear Theory · Physics 2008-11-26 D. Drechsel , G. Knoechlein , A. Yu. Korchin , A. Metz , S. Scherer

We analyze virtual Compton scattering off the nucleon at low energies in a covariant, model-independent formalism. We define a set of invariant functions which, once the irregular nucleon pole terms have been subtracted in a gauge-invariant…

Nuclear Theory · Physics 2008-11-26 D. Drechsel , G. Knoechlein , A. Yu. Korchin , A. Metz , S. Scherer

We discuss the low-energy behavior of the spin-averaged amplitude of virtual Compton scattering (VCS) off a nucleon. Based on gauge invariance, Lorentz invariance and the discrete symmetries, it is shown that to first order in the frequency…

Nuclear Theory · Physics 2008-11-26 D. Drechsel , G. Knoechlein , A. Metz , S. Scherer

We investigate the spin-independent part of the virtual Compton scattering (VCS) amplitude off the nucleon within the framework of chiral perturbation theory. We perform a consistent calculation to third order in external momenta according…

Nuclear Theory · Physics 2009-10-30 Thomas R. Hemmert , Barry R. Holstein , Germar Knoechlein , Stefan Scherer

These lectures give a pedagogical introduction to real and virtual Compton scattering at low energies. We will first discuss real Compton scattering off a point particle as well as a composite system in the framework of nonrelativistic…

Nuclear Theory · Physics 2011-04-15 S. Scherer

Virtual Compton scattering off the nucleon (VCS) is studied in the regime of low energy of the outgoing real photon. This regime allows one to directly access the generalized polarizabilities of the nucleon in a VCS experiment. In the…

Nuclear Theory · Physics 2010-04-06 Mikhail Gorchtein

The spin-independent part of the virtual Compton scattering (VCS) amplitude from the nucleon is calculated within the framework of heavy baryon chiral perturbation theory (HBChPT). The calculation is performed to third order in external…

Nuclear Theory · Physics 2008-02-03 T. R. Hemmert , B. R. Holstein , ; G. Knoechlein , S. Scherer

We analyze polarized Compton scattering which provides information on the spin-structure of the nucleon. For scattering processes with photon energies up to 100 MeV the spin-structure dependence can be encoded into four independent…

Nuclear Theory · Physics 2009-10-30 Thomas R. Hemmert , Barry R. Holstein , Joachim Kambor , Germar Knoechlein

We extend the analysis of the deeply virtual Compton scattering process to the weak interaction sector in the generalized Bjorken limit. The virtual Compton scattering amplitudes for the weak neutral and charged currents are calculated at…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Psaker , W. Melnitchouk , A. V. Radyushkin

We study the doubly virtual Compton scattering off a spinless target $\gamma^*P\to\gamma^*P'$ within the Anti-de Sitter(AdS)/QCD formalism. We find that the general structure allowed by the Lorentz invariance and gauge invariance of the…

High Energy Physics - Phenomenology · Physics 2014-11-20 Cyrille Marquet , Claude Roiesnel , Samuel Wallon

The theorem is proved, determining the forward scatterring amplitude of virtual longitudinal photon at zero energy on any hadronic target in the limit of small photon virtualities $Q^2$. The theorem is strict, based only on Lorenz and gauge…

High Energy Physics - Phenomenology · Physics 2009-12-30 B. L. Ioffe

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

We perform a study of the doubly virtual Compton scattering off a spinless target gamma* P -> gamma* P' within the Anti-de Sitter(AdS)/QCD formalism. We find that the general structure allowed by the Lorentz invariance and gauge invariance…

High Energy Physics - Phenomenology · Physics 2010-12-16 C. Marquet , C. Roiesnel , S. Wallon

The general structure of the cross section of $\gamma N$ scattering with polarized photon and/or nucleon in initial and/or final state is systematically described and exposed through invariant amplitudes. A low-energy expansion of the cross…

High Energy Physics - Phenomenology · Physics 2009-09-25 D. Babusci , G. Giordano , A. I. L'vov , G. Matone , A. M. Nathan

We consider the azimuthal angle dependence in the cross section of the hard leptoproduction of a photon on a nucleon target. We show that this dependence allows to define observables that isolate the twist-two and twist-three sectors in the…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. V. Belitsky , A. Kirchner , D. Müller

We evaluate within a microscopic calculation the contributions of both coherent and incoherent deeply virtual Compton scattering from a spin-0 nucleus. The coherent contribution is obtained when the target nucleus recoils as a whole,…

High Energy Physics - Phenomenology · Physics 2009-11-11 S. Liuti , S. K. Taneja

We discuss the virtual Compton scattering amplitude $\gamma^\ast+\pi\to \gamma+\pi$ which enters the reaction $\pi^-+e^-\to\pi^-+e^-+\gamma$. The low-energy scattering amplitude is divided into a model-independent part, involving only the…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Scherer

We give an overview of low-energy Compton scattering (gamma^(*) p --> gamma p) with a real or virtual incoming photon. These processes allow the investigation of one of the fundamental properties of the nucleon, i.e. how its internal…

Nuclear Experiment · Physics 2011-09-23 E. J. Downie , H. Fonvieille

Virtual Compton Scattering on the nucleon: $\gamma^* N \to \gamma N$ is a new and rapidly developing field at low and high energies. This lecture is about the low energy part, i.e. for energies in the $(\gamma p)$ center-of-mass mainly up…

High Energy Physics - Phenomenology · Physics 2008-12-18 H. Fonvieille
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