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We review recent developments in the theoretical investigation of the nucleon polarizabilities. We first report on the static polarizabilities as measured in real Compton scattering, comparing and interpreting the results from various…

High Energy Physics - Phenomenology · Physics 2012-01-17 B. Pasquini , D. Drechsel , M. Vanderhaeghen

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 calculate polarization phenomena for virtual Compton scattering on protons, at relatively large momentum transfer 1 GeV$^2$ $\le -q^2\le$ 5 GeV$^2$ on the basis of a model for $\gamma^*+ p\to \gamma+p$ with two main contributions:…

Nuclear Theory · Physics 2007-05-23 M. P. Rekalo , E. Tomasi-Gustafsson

We compute the Compton scattering off the nucleons in the framework of manifestly covariant baryon chiral perturbation theory (B$\chi$PT). The results for observables differ substantially from the corresponding calculations in heavy-baryon…

Nuclear Theory · Physics 2009-05-26 V. Lensky , V. Pascalutsa

The electric ${\alpha}_{\pi}$ and magnetic ${\beta}_{\pi}$ charged pion Compton polarizabilities are of fundamental interest in the low-energy sector of quantum chromodynamics (QCD). They characterize the induced dipole moments of the pion…

High Energy Physics - Phenomenology · Physics 2022-05-23 Murray Moinester

We relate ordinary and skewed parton distributions to soft overlap contributions to elastic form factors and large angle Compton scattering, using light-cone wave functions in a Fock state expansion of the nucleon. With a simple ansatz for…

High Energy Physics - Phenomenology · Physics 2011-09-13 M. Diehl , T. Feldmann , R. Jakob , P. Kroll

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

The Compton process with the initial states of photons and neutrons described by the density matrices of a general form is studied for low energies of photons. The coherent contribution to the inclusive probability to record a photon is…

High Energy Physics - Phenomenology · Physics 2026-05-12 P. O. Kazinski , A. A. Sokolov

The leading-order nucleon-nucleon (NN) potential derived from chiral perturbation theory consists of one-pion exchange plus a short-distance contact interaction. We show that in the 1S0 and 3S1-3D1 channels renormalization of the…

Nuclear Theory · Physics 2008-11-26 C. -J. Yang , Ch. Elster , D. R. Phillips

I give a summary of recent results on nucleon polarizabilities, with emphasis on chiral perturbation theory. The predictive calculations of Compton scattering off the nucleon are compared to recent empirical determinations and lattice QCD…

Nuclear Theory · Physics 2020-10-14 Franziska Hagelstein

We present the first \emph{ab initio} calculation of elastic Compton scattering from 4He. It is carried out to $\mathcal{O}(e^2 \delta^3)$ [N3LO] in the $\delta$ expansion of $\chi$EFT. At this order and for this target, the only free…

We present a set of once subtracted dispersion relations which implement crossing symmetry conditions for the $\pi\pi$ scattering amplitudes below 1 GeV. We compare and discuss the results obtained for the once and twice subtracted…

High Energy Physics - Phenomenology · Physics 2010-04-21 R. Kaminski , R. Garcia-Martin , P. Grynkiewicz , J. R. Pelaez , F. J. Yndurain

A non perturbative renormalization scheme for Nucleon-Nucleon interaction based on boundary conditions at short distances is presented and applied to the One Pion Exchange Potential. It is free of off-shell ambiguities and ultraviolet…

Nuclear Theory · Physics 2008-11-26 M. Pavon Valderrama , E. Ruiz Arriola

We discuss some formal and fundamental aspects related with the replacement of integral dispersion relations by derivative forms, and their practical uses in high energy elastic hadron scattering, in particular $pp$ and $\bar{p}p$…

High Energy Physics - Phenomenology · Physics 2009-11-10 R. F. Avila , M. J. Menon

Deuteron Compton scattering is calculated to $\mathcal{O}(Q^2)$ in pionless effective field theory using a dibaryon approach. The vector amplitude, which was not included in the previous pionless calculations, contributes to the cross…

Nuclear Theory · Physics 2009-11-10 Jiunn-Wei Chen , Xiangdong Ji , Yingchuan Li

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 analyse the proton Compton-scattering differential cross section for photon energies up to 325 MeV using Chiral Effective Field Theory and extract new values for the electric and magnetic polarisabilities of the proton. Our EFT treatment…

Nuclear Theory · Physics 2013-01-25 Judith A. McGovern , Daniel R. Phillips , Harald W. Grießhammer

Once and twice subtracted crossing symmetric dispersion relations applied to $\pi\pi \to \pi\pi$ scattering data are analyzed and compared. Both sets of dispersion relations can be used to test the $\pi\pi$ amplitudes in low partial waves…

High Energy Physics - Phenomenology · Physics 2009-05-14 R. Kaminski , R. Garcia-Martin , J. R. Pelaez , F. J. Yndurain

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 non-linear Compton scattering rate in a rotating electric field is explicitly calculated for the first time. For this purpose, a novel solution to the Klein-Gordon equation in the presence of a rotating electric field is applied. An…

High Energy Physics - Phenomenology · Physics 2016-12-14 Erez Raicher , Shalom Eliezer , Arie Zigler
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