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Including the $Δ(1232)$ resonance in baryon chiral perturbation theory

arXiv:hep-ph/0505043 · doi:10.1103/PhysRevC.72.055203

Abstract

Baryon chiral perturbation theory with explicit $Δ(1232)$ degrees of freedom is considered. Using the extended on-mass-shell renormalization scheme, a manifestly Lorentz-invariant effective field theory with a systematic power counting is obtained. As applications we discuss the mass of the nucleon, the pion-nucleon sigma term, and the pole of the $Δ$ propagator.

18 pages, 2 figures, REVTeX 4