Effective theory of the Delta(1232) in Compton scattering off the nucleon

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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29 pp, 9 figs. Minor revisions. To be published in PRC

Scientific paper

10.1103/PhysRevC.67.055202

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 next-to-leading order in this theory. The resultant description of existing $\gamma$p cross section data is very good for photon energies up to about 300 MeV. We also find reasonable numbers for the spin-independent polarizabilities $\alpha_p$ and $\beta_p$.

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