6533b831fe1ef96bd12997eb

RESEARCH PRODUCT

Including theΔ(1232)resonance in baryon chiral perturbation theory

Jambul GegeliaJambul GegeliaN. WiesC. HackerStefan Scherer

subject

BaryonPhysicsRenormalizationNuclear and High Energy PhysicsParticle physicsChiral perturbation theoryPionNuclear TheoryPropagatorPerturbation theoryQuantum field theoryNuclear ExperimentNucleon

description

Baryon chiral perturbation theory with explicit $\ensuremath{\Delta}(1232)$ degrees of freedom is considered. The most general interactions of pions, nucleons, and \ensuremath{\Delta} consistent with all underlying symmetries as well as with the constraint structure of higher-spin fields are constructed. By use of 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 \ensuremath{\sigma} term, and the pole of the \ensuremath{\Delta} propagator.

yearjournalcountryeditionlanguage
2005-11-30Physical Review C
https://doi.org/10.1103/physrevc.72.055203