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The Delta(1232) Resonance in Chiral Effective Field Theory

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arxiv 0712.3919 v1 pith:N6FCYVP2 submitted 2007-12-23 nucl-th

classification nucl-th
keywords resonancechiraldeltatheoryaccountapplicationsbaryonbriefly
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abstract

I discuss the problem of formulating the baryon chiral perturbation theory ($\chi$PT) in the presence of a light resonance, such as the $\Delta(1232)$, the lightest nucleon resonance. It is shown how to extend the power counting of $\chi$PT to correctly account for the resonant contributions. Recent applications of the resulting chiral effective-field theory to the description of pion production reactions in $\Delta$-resonance region are briefly reviewed.

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Cited by 1 Pith paper

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  1. Pion photoproduction off nucleons in covariant chiral perturbation theory

    hep-ph 2019-08 conditional novelty 5.0 of 10

    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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