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Effective theory of the Delta(1232) in Compton scattering off the nucleon
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abstract
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 $\beta_p$.
Forward citations
Cited by 2 Pith papers
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Electromagnetic polarizabilities of the spin-$\frac{1}{2}$ singly heavy baryons in heavy baryon chiral perturbation theory
At O(p^3) in heavy baryon chiral perturbation theory, sextet heavy baryons acquire polarizabilities from pion/kaon loops and from B6* to B6 magnetic transitions, while antitriplet heavy baryons have zero polarizability.
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Pion photoproduction off nucleons in covariant chiral perturbation theory
Including the Delta(1232) resonance in a third-order covariant chiral perturbation theory fit reproduces near-threshold pion photoproduction data across all charge channels far better than leaving it out.
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