Predictions of chiral perturbation theory for Compton scattering off protons

Details Predictions of chiral perturbation theory for Compton scattering off protons Predictions of chiral perturbation theory for Compton scattering off protons

2009-05-24

arxiv.org/abs/0905.3861v1

Physics

Nuclear Physics

Nuclear Theory

7 pages, 4 figures, to appear in in the proceedings of the International Workshop on Effective Field Theories: from the Pion t

Scientific paper

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 chiral perturbation theory (HB$\chi$PT), most appreciably in the forward kinematics. We verify that the covariant $p^3$ result fulfills the forward-Compton-scattering sum rules. We also explore the effect of the $\Delta$(1232) resonance. We find that the substantial effect of the $\Delta$-excitation on the nucleon polarizabilities can naturally be accommodated in the manifestly covariant calculation.

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