This article is cited in 17 papers

FIELDS, PARTICLES, AND NUCLEI

Manifestly-covariant $p^3$ calculation of nucleon Compton scattering

V. Lensky^ab, V. Pascalutsa<sup>ac

a</sup> European Centre for Theoretical Studies in Nuclear Physics and Related Areas
^b Institute for Theoretical and Experimental Physics, 117218 Moscow, Russia
^c Institut für Kernphysik, Johannes Gutenberg Universität, Mainz D-55099, Germany

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 at order $p^4/\Delta$, with $\Delta\approx300$ MeV, the resonance excitation energy. We find that the substantial effect of the $\Delta$-excitation on the nucleon polarizabilities can naturally be accommodated in the manifestly covariant calculation.

PACS: 13.60.Fz, 14.20.Dh, 25.20.Dc

Received: 05.11.2008

Language: English

 English version: Journal of Experimental and Theoretical Physics Letters, 2009, 89:3, 108–113

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