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

Daniel R. Phillips (Ohio University); Vladimir Pascalutsa

arxiv: nucl-th/0212024 · v4 · pith:53ILMJ25new · submitted 2002-12-05 · ⚛️ nucl-th · hep-ph· nucl-ex

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

Vladimir Pascalutsa , Daniel R. Phillips (Ohio University) This is my paper

classification ⚛️ nucl-th hep-phnucl-ex

keywords theorychiralcomptoneffectivenucleonscatteringalphabeta

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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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