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Considering the magnetic moment and polarizabilities of the nucleon we emphasize the need for relativistic chiral EFT calculations. Our relativistic calculations are done via the forward-Compton-scattering sum rules, thus ensuring the…

Nuclear Theory · Physics 2014-11-18 Vladimir Pascalutsa

A new power-counting scheme for a chiral effective field theory that includes Delta degrees of freedom is briefly described and applied to the nucleon Compton scattering.

Nuclear Theory · Physics 2007-05-23 V. Pascalutsa , D. R. Phillips

The Gerasimov-Drell-Hearn and Baldin-Lapidus sum rules are evaluated in the dressed K-matrix model for photon-induced reactions on the nucleon. For the first time the sum $\alpha+\beta$ of the electric and magnetic polarisabilities and the…

Nuclear Theory · Physics 2009-11-07 S. Kondratyuk , O. Scholten

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 review the description of the lowest-energy nucleon excitation -- the $\Delta$(1232)-resonance. Much of the recent experimental effort has been focused on the precision measurements of the nucleon-to-$\Delta$ transition by means of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Vladimir Pascalutsa , Marc Vanderhaeghen , Shin Nan Yang

We formulate a new power-counting scheme for a chiral effective field theory of nucleons, pions, and Deltas. This extends chiral perturbation theory into the Delta-resonance region. We calculate nucleon Compton scattering up to…

Nuclear Theory · Physics 2016-09-08 Vladimir Pascalutsa , Daniel R. Phillips

Compton scattering provides important insight into the structure of the nucleon. For photons up to about 300 MeV, it is parameterised by six dynamical dipole polarisabilities which characterise the response of the nucleon to a monochromatic…

Nuclear Theory · Physics 2012-12-12 Harald W. Griesshammer , Judith A. McGovern , Daniel R. Phillips , Gerald Feldman

In this sketch, I focus on Physics and formalism behind dynamical polarisabilities, a new tool to test and interpret quantitative predictions about the low-energy degrees of freedom inside the nucleon from the multipoles of Compton…

Nuclear Theory · Physics 2007-05-23 Harald W. Griesshammer

We consider two-nucleon scattering close to threshold. Partial-wave amplitudes are obtained by an analytic extrapolation of subthreshold reaction amplitudes calculated in a relativistic formulation of chiral perturbation theory. The…

Nuclear Theory · Physics 2015-06-12 A. M. Gasparyan , M. F. M. Lutz , E. Epelbaum

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

We generalize forward real Compton amplitude to the case of the interference of the electromagnetic and weak neutral current, formulate a low-energy theorem, relate the new amplitudes to the interference structure functions and obtain a new…

Nuclear Theory · Physics 2015-01-23 Mikhail Gorchtein , Xilin Zhang

These proceedings sketch how combining recent theoretical advances with data from the new generation of high-precision Compton scattering experiments on both the proton and few-nucleon systems offers fresh, detailed insight into the Physics…

Nuclear Theory · Physics 2009-11-10 Harald W. Griesshammer

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

Previous extrapolations of lattice QCD results for the nucleon mass to the physically relevant region of small quark masses, using chiral effective field theory, are extended and expanded in several directions. A detailed error analysis is…

High Energy Physics - Lattice · Physics 2007-05-23 M. Procura , B. U. Musch , T. Wollenweber , T. R. Hemmert , W. Weise

This work discusses reliability, possible obstacles and the future perspective of chiral extrapolation of lattice results. In the first part, chiral perturbation theory fits to lattice calculations of the nucleon mass are thoroughly…

High Energy Physics - Lattice · Physics 2007-05-23 Bernhard U. Musch

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 2009-04-17 Vadim Lensky , Vladimir Pascalutsa

We derive QCD sum rules from the nucleon two-point function in nuclear medium, calculating its specral function in chiral perturbation theory to one loop. Our calculation shows the inadequacy of the commonly used ansatz to represent the…

Nuclear Theory · Physics 2007-05-23 S. Mallik , Hiranmaya Mishra

We review theoretical progress and prospects for determining the nucleon's static dipole polarisabilities from Compton scattering on few-nucleon targets, including new values; see Refs. [1-5] for details and a more thorough bibliography.

Nuclear Theory · Physics 2016-12-12 Harald W. Griesshammer , Judith A. McGovern , Daniel R. Phillips

As guideline for forthcoming experiments, we present predictions from Chiral Effective Field Theory for polarized cross sections in low energy Compton scattering for photon energies below 170 MeV, both on the proton and on the neutron.…

Nuclear Theory · Physics 2009-11-10 Robert P. Hildebrandt , Harald W. Griesshammer , Thomas R. Hemmert

We present a new chiral expansion scheme for the nucleon-nucleon scattering amplitude which preserves unitarity exactly. Our effective field theory builds on the power counting rules for 2-nucleon reducible diagrams proposed in \cite{lutz}.…

Nuclear Theory · Physics 2010-12-16 M. Lutz
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