Predictions of chiral perturbation theory for Compton scattering off protons

Abstract

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.

7 pages, 4 figures, to appear in in the proceedings of the International Workshop on Effective Field Theories: from the Pion to the Upsilon. EFT09, Valencia, 1-6 Feb. 2009

References in corpus (13)

• Chiral Dynamics in Nucleons and Nuclei
• Renormalization of relativistic baryon chiral perturbation theory and power counting
• Electromagnetic excitation of the Delta(1232)-resonance
• Dispersion relations in real and virtual Compton scattering
• Effective theory of the Delta(1232) in Compton scattering off the nucleon
• Matching Heavy Particle Approach to Relativistic Theory
• Measurement of the Electric and Magnetic Polarizabilities of the Proton
• Delta(1232) and the Polarizabilities of the Nucleon
• Signatures of Chiral Dynamics in Low Energy Compton Scattering off the Nucleon
• Compton scattering on the proton, neutron, and deuteron in chiral perturbation theory to O(Q^4)
• A Derivative of the Gerasimov-Drell-Hearn Sum Rule
• Compton scattering from the proton at NLO in the chiral expansion
• Manifestly-covariant chiral PT calculation of nucleon Compton scattering