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

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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18 pages, 2 figures, REVTeX 4

Scientific paper

10.1103/PhysRevC.72.055203

Baryon chiral perturbation theory with explicit $\Delta(1232)$ 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 $\Delta$ propagator.

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