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We derive two new sum rules for the unpolarized doubly virtual Compton scattering process on a nucleon, which establish novel low-$Q^2$ relations involving the nucleon's generalized polarizabilities and moments of the nucleon's unpolarized…

High Energy Physics - Phenomenology · Physics 2018-04-25 Vadim Lensky , Franziska Hagelstein , Vladimir Pascalutsa , Marc Vanderhaeghen

The forward Compton scattering amplitude for carbon and lead have been calculated from total photoabsorption cross section data by using dispersion relations. The results show a large difference between the scattering amplitudes for nuclei…

Nuclear Theory · Physics 2022-03-02 A. Deppman , N. Bianchi , E. De Sanctis , M. Mirazita , V. Muccifora , P. Rossi

The Gerasimov-Drell-Hearn sum rule is one of several dispersive sum rules that connect the Compton scattering amplitudes to the inclusive photoproduction cross sections of the target under investigation. Being based on such universal…

Nuclear Theory · Physics 2009-11-10 Dieter Drechsel , Lothar Tiator

We extend previous work on sum rules for the invariant amplitudes of pion Compton scattering by deriving a complete lowest order perturbative spectral function - and its leading non perturbative power corr ections - for a specific…

High Energy Physics - Phenomenology · Physics 2009-10-22 Claudio Coriano'

A unified presentation is given on the use of dispersion relations in the real and virtual Compton scattering processes off the nucleon. The way in which dispersion relations for Compton scattering amplitudes establish connections between…

High Energy Physics - Phenomenology · Physics 2010-04-06 D. Drechsel , B. Pasquini , M. Vanderhaeghen

We present a model for electron scattering off nuclei and photon absorption in the resonance energy region (W <= 2 GeV). The elementary gamma/gamma* N-vertex is described using in-medium kinematics and up-to-date form factors for…

Nuclear Theory · Physics 2008-09-16 O. Buss , T. Leitner , U. Mosel , L. Alvarez-Ruso

We evaluate the shadowing effect in deeply virtual and real Compton scattering on nuclei in the framework of the color dipole model. We rely on the soft photon wave function derived in the instanton vacuum model, and employ the impact…

High Energy Physics - Phenomenology · Physics 2010-05-25 B. Z. Kopeliovich , Ivan Schmidt , M. Siddikov

Differential cross sections for Compton scattering from the proton have been measured at scattering angles of $55^\circ$, $90^\circ$, and $125^\circ$ in the laboratory frame using quasimonoenergetic linearly (circularly) polarized photon…

We compare two widely used approaches to the description of hadron properties: QCD sum rules and constituent quark models. Making use of the dispersion formulation of the quark model, we show that both approaches lead to similar spectral…

High Energy Physics - Phenomenology · Physics 2009-11-10 Dmitri Melikhov , Silvano Simula

A recently developed model for $\rho$-meson propagation in dense hadronic matter is applied to total photoabsorption cross sections in $\gamma$-proton and $\gamma$-nucleus reactions. Within the vector dominance model the photon coupling to…

Nuclear Theory · Physics 2008-11-26 R. Rapp , M. Urban , M. Buballa , J. Wambach

A status report on the topic Compton scattering and polarizabilities is presented with emphasis on the scalar t-channel as entering into dispersion theory. Precise values for the polarizabilities are obtained leading to $\alpha_p = 12.0\pm…

High Energy Physics - Phenomenology · Physics 2013-06-26 Martin Schumacher , Michael D. Scadron

We perform a stability analysis of a recently proposed sum rule for pion Compton scattering at fixed angle and moderate Mandelstam invariants. The sum rule is found to be sensitive to the parameter $\lambda^2$, the contour radius of a…

High Energy Physics - Phenomenology · Physics 2009-10-22 Claudio Coriano' , Hsiang-nan Li

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

We derive two sum rules by studying the low energy Compton scattering on a target of arbitrary (nonzero) spin j. In the first sum rule, we consider the possibility that the intermediate state in the scattering can have spin |j \pm 1| and…

High Energy Physics - Theory · Physics 2012-10-11 Hovhannes R. Grigoryan , Massimo Porrati

We derive a set of sum rules for threshold parameters of pion-pion scattering whose dispersion integrals are rapidly convergent and are dominated by S- and P-waves absorptive parts. Stringent constraints on some threshold parameters are…

High Energy Physics - Phenomenology · Physics 2009-10-28 B. Ananthanarayan , D. Toublan , G. Wanders

We deduce momentum sum rules for the parton structure functions of a photon target. Non-perturbative QCD contribution to the momentum sum rules follows from conservation of the energy--momentum tensor and it is calculated through the…

High Energy Physics - Phenomenology · Physics 2007-05-23 L. L. Frankfurt , E. G. Gurvich

We study electromagnetic form factors of protons in proton-nucleus scattering via analysing of experimental cross-sections of accompanying bremsstrahlung photons. A new bremsstrahlung model for proton-nucleus scattering is developed, where…

Nuclear Theory · Physics 2024-04-22 Sergei P. Maydanyuk , Li-Ping Zou , Peng-Ming Zhang

The consequences of the charge symmetry breaking effects of the mass difference between the up and down quarks and electromagnetic effects for searches for strangeness form factors in parity violating electron scattering from the proton are…

Nuclear Theory · Physics 2008-11-26 Gerald A. Miller

We develop an approach to describing coherent Compton scattering of photons in the keV energy range from hydrogen and helium atoms based on a relativistic version of the AA-approximation within the standard perturbative S-matrix formalism.…

Atomic Physics · Physics 2019-01-30 Irina A. Gnilozub , Alexander Galstyan , Yuri V. Popov , Igor P. Volobuev

A sum rule for the first frequency moment of the optical absorption of a many-polaron system is derived, taking into account many-body effects in the system of constituent charge carriers of the many-polaron system. In our expression for…

Strongly Correlated Electrons · Physics 2009-10-31 J. Tempere , J. T. Devreese