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The mean square polarizability radii of the proton have been measured for the first time in a virtual Compton scattering experiment performed at the MIT-Bates out-of-plane scattering facility. Response functions and polarizabilities…

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 investigate the dependence of polarisation observables in elastic deuteron Compton scattering below the pion production threshold on the spin-independent and spin-dependent iso-scalar dipole polarisabilities of the nucleon. The…

Nuclear Theory · Physics 2012-03-28 Harald W. Griesshammer , Deepshikha Shukla

The Compton double-polarization observable $\Sigma_{2z}$ has been measured for the first time in the $\Delta(1232)$ resonance region using a circularly polarized photon beam incident on a longitudinally polarized target at the Mainz…

We report a first principle lattice calculation of the pion electric polarizability $\alpha_\pi$ at the physical pion mass. First, we derive the master formula, which relates the pion polarizabilities with the position space hadronic…

High Energy Physics - Lattice · Physics 2022-01-06 Xu Feng , Taku Izubuchi , Luchang Jin , Maarten Golterman

We evaluate the electric and magnetic polarizabilities of charged pions in the framework of chiral perturbation theory at next-to-leading order. This requires a two-loop evaluation of the Compton amplitude near threshold. We estimate the…

High Energy Physics - Phenomenology · Physics 2011-07-19 Urs Buergi

A calculation of deuteron Compton scattering using non-relativistic perturbation theory is presented,with the primary motivation of investigating the feasibility of determining the neutron polarizabilities from this type of experiment. This…

Nuclear Theory · Physics 2009-10-31 Jonathan J. Karakowski , Gerald A. Miller

We study Compton scattering in systems with A=1 and 2 using chiral perturbation theory up to fourth order. For the proton we fit the two undetermined parameters in the O(Q^4) $\gamma$p amplitude of McGovern to experimental data in the…

Nuclear Theory · Physics 2009-04-17 S. R. Beane , M. Malheiro , J. A. McGovern , D. R. Phillips , U. van Kolck

In addition to the E2/M1 ratio of the N->$\Delta$ transition, the electromagnetic polarizabilities and spin-polarizabilities are important structure constants of the nucleon which serve as sensitive tests of chiral perturbation theory and…

Nuclear Experiment · Physics 2017-08-23 Martin Schumacher

Fixed-$t$ subtracted dispersion relations are presented for Compton scattering off the nucleon at energies $E_\gamma \leq 500$ MeV, as a formalism to extract the nucleon polarizabilities from the data with a minimum of model dependence. The…

High Energy Physics - Phenomenology · Physics 2011-04-15 M. Gorchtein , D. Drechsel , B. Pasquini , M. Vanderhaeghen

We calculate the decay of pionium atoms into two photons. The pion polarizability gives rise to a 10% correction to the corresponding decay width for pointlike pions. This opens the possibility to obtain the difference between the electric…

High Energy Physics - Phenomenology · Physics 2011-07-19 H. -W. Hammer , J. N. Ng

We evaluate the amplitude for gamma gamma --> pi^+ pi^- to two loops in the framework of chiral perturbation theory.The three new coupling constants that enter the result at this order in the low-energy expansion are estimated via resonance…

High Energy Physics - Phenomenology · Physics 2011-07-19 Urs Buergi

We consider Compton scattering by a pion in the framework of chiral perturbation theory. We investigate off--shell effects in the s-- and u--channel pole diagrams. For that purpose we perform a field transformation which, in comparison with…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Scherer , H. W. Fearing

Differential cross sections for Compton scattering from the deuteron were measured at MAX-lab for incident photon energies of 55 MeV and 66 MeV at nominal laboratory angles of $45^\circ$, $125^\circ$, and $135^\circ$. Tagged photons were…

An analytic calculation of the differential cross section for elastic Compton scattering on the deuteron at photon energies \omega in the range of 25-50 MeV is presented to next-to-next-to-leading order, i.e. to an accuracy of \sim 3%. The…

Nuclear Theory · Physics 2009-11-06 Harald W. Griesshammer , Gautam Rupak

Chiral perturbation theory makes definitive predictions for the extrinsic behavior of hadrons in external electric and magnetic fields. Near the chiral limit, the electric and magnetic polarizabilities of pions, kaons, and nucleons are…

High Energy Physics - Lattice · Physics 2015-05-30 W. Detmold , B. C. Tiburzi , A. Walker-Loud

We discuss the most general form of the electromagnetic vertex of an off-shell pion. The framework of chiral perturbation theory is used to illustrate the representation dependence of the electromagnetic three-point Green's function. For…

Nuclear Theory · Physics 2007-05-23 S. Scherer

Low-energy Compton scattering off the proton is used for determination of the proton polarizabilities. However, the present empirical determinations rely heavily on the theoretical description(s) of the experimental cross sections in terms…

Nuclear Theory · Physics 2018-05-21 Nadiia Krupina , Vadim Lensky , Vladimir Pascalutsa

Measurement of gamma-ray polarization can provide valuable insight in different areas of physics. A possible application is in Positron Emission Tomography, where annihilation quanta with orthogonal polarizations are emitted. Since…

Instrumentation and Detectors · Physics 2020-02-26 Mihael Makek , Damir Bosnar , Luka Pavelić , Pavla Šenjug , Petar Žugec

A brief review of Compton scattering off the deuteron in Chiral Effective Field Theory, including gauge invariance and the correct Thomson limit. We model-independently determine the iso-scalar, spin-independent dipole polarisabilities of…

Nuclear Theory · Physics 2017-08-23 Harald W. Griesshammer