Including the $\hat{I}”(1232)$ resonance in baryon chiral perturbation theory

Abstract

Baryon chiral perturbation theory with explicit $\hat{I}”(1232)$ 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 $\hat{I}”$ propagator.

18 pages, 2 figures, REVTeX 4