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We compute the Compton scattering off the nucleons in the framework of manifestly covariant baryon chiral perturbation theory (BχPT). The results for observables differ substantially from the corresponding calculations in heavy-baryon chiral perturbation theory (HBχPT), most appreciably in the forward kinematics. We verify that the covariant p3 result fulfills the forwardCompton-scattering sum rules. We also explore the effect of the ∆(1232) resonance at order p4/∆ , with ∆ ≈ 300 MeV, the resonance excitation energy. We find that the substantial effect of the ∆-excitation on the nucleon polarizabilities can naturally be accommodated in the manifestly covariant calculation.

Predictions of chiral perturbation theory for Compton scattering off protons