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We generalize the sum rules for the nucleon electric plus magnetic polarizability $\Sigma=\alpha+\beta$ and for the nucleon spin-polarizability $\gamma$, to virtual photons with $Q^2>0$. The dominant low energy cross sections are…

Nuclear Theory · Physics 2009-10-31 J. Edelmann , N. Kaiser , G. Piller , W. Weise

Threshold photon electroproduction off the proton allows one to measure new electromagnetic observables which generalise the usual polarisabilities. There are -- a priori -- ten "generalised polarisabilities", functions of the virtual…

Nuclear Theory · Physics 2010-02-17 P. A. M. Guichon , G. Q. Liu , A. W. Thomas

Absolute differential cross sections for the reaction (e+p -> e+p+gamma) have been measured at a four-momentum transfer with virtuality Q^2=0.33 GeV^2 and polarization \epsilon = 0.62 in the range 33.6 to 111.5 MeV/c for the momentum of the…

High Energy Physics - Experiment · Physics 2008-11-26 The VCS , A1 collaboration

Below pion threshold virtual Compton scattering off the nucleon gives access to the generalized electromagnetic polarizabilities. Different theoretical results for the generalized polarizabilities have been compared. In particular, the…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Metz , B. Pasquini , D. Drechsel

Virtual Compton scattering off nucleons and pions at low energies is discussed. Predictions for the generalized polarizabilities of the nucleon are presented within the framework of heavy-baryon chiral perturbation theory and the linear…

High Energy Physics - Phenomenology · Physics 2011-04-15 S. Scherer

We present a calculation of the virtual Compton scattering amplitude for $\gamma^\ast+\pi\to \gamma+\pi$ in the framework of chiral perturbation theory at ${\cal O}(p^4)$. We explicitly derive expressions for generalized electromagnetic…

High Energy Physics - Phenomenology · Physics 2009-10-31 C. Unkmeir , S. Scherer , A. I. L'vov , D. Drechsel

Using the techniques of chiral effective field theories we evaluate the so called generalized polarizabilities of the nucleon, which characterize the structure dependent components in virtual Compton scattering (VCS) as probed in the…

Nuclear Theory · Physics 2009-10-31 T. R. Hemmert , B. R. Holstein , G. Knoechlein , D. Drechsel

We present a calculation of the cross section and the event generator of the reaction $\pi e\to \pi e \gamma$. This reaction is sensitive to the pion generalized dipole polarizabilities, namely, the longitudinal electric $\alpha_L(q^2)$,…

High Energy Physics - Phenomenology · Physics 2009-11-07 C. Unkmeir , A. Ocherashvili , T. Fuchs , M. A. Moinester , S. Scherer

In a previous paper virtual Compton scattering off the nucleon has been investigated in the one-loop approximation of the linear sigma model in order to determine the 3 scalar generalized polarizabilities. We have now extended this work and…

Nuclear Theory · Physics 2009-10-30 A. Metz , D. Drechsel

In recent years, real and virtual Compton scattering off the nucleon have attracted considerable interest from both the experimental and theoretical sides. Real Compton scattering gives access to the so-called electromagnetic…

Nuclear Theory · Physics 2009-11-10 Stefan Scherer

The polarizabilities $\alpha$ (electric), $\beta$ (magnetic) and $\gamma_\pi$ (backward spin) of the nucleon are investigated in terms of degrees of freedom of the nucleon using recent results for the CGLN amplitudes and resonance couplings…

High Energy Physics - Phenomenology · Physics 2013-06-26 Martin Schumacher

We calculate the $N^*$ contributions to the generalized polarizabilities of the proton in virtual Compton scattering. The following nucleon excitations are included: $N^*(1535)$, $N^*(1650)$, $N^*(1520)$, $N^*(1700)$, $\Delta(1232)$,…

Nuclear Theory · Physics 2015-06-26 G. Q. Liu , A. W. Thomas , P. A. M. Guichon

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

The nucleon generalized polarizabilities (GPs), probed in virtual Compton scattering (VCS), describe the spatial distribution of the polarization density in a nucleon. They are accessed experimentally via the process of electron-proton…

High Energy Physics - Phenomenology · Physics 2017-02-23 Vadim Lensky , Vladimir Pascalutsa , Marc Vanderhaeghen

We are studying the electron scattering process e p to e' p' gamma in order to obtain information on the genuine virtual Compton scattering (VCS) process gamma^* N to gamma N. In addition to the two kinematical variables of real Compton…

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

We discuss low-energy virtual Compton scattering off the proton within the framework of a nonrelativistic constituent quark model. A simple interpretation of the spin-averaged generalized polarizabilities is given in terms of the induced…

Nuclear Theory · Physics 2017-08-23 B. Pasquini , S. Scherer , D. Drechsel

The electromagnetic polarizabilities are fundamental properties of the proton that characterize its response to an external EM field. The generalization of the EM polarizabilities to non-zero four-momentum transfer opens up a powerful path…

Nuclear Experiment · Physics 2024-07-11 Nikos Sparveris

As a guideline for future experiments to extract the four (leading) spin polarizabilities of the nucleon, we have constructed the forward amplitude for polarized Compton scattering by dispersion integrals. These integrals have been…

High Energy Physics - Phenomenology · Physics 2010-05-28 B. Pasquini , P. Pedroni , D. Drechsel

We calculate the electric polarizability $\alpha(q^2)$ of the proton in virtual Compton scattering using the Skyrme model. The $q^2$ dependence of the polarizability is comparable with the predictions obtained from the non-relativistic…

High Energy Physics - Phenomenology · Physics 2007-05-23 Myunggyu Kim , Dong-Pil Min

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
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