The Delta(1232) Resonance in Chiral Effective Field Theory

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.

8 pages, 8 figs; prepared for the proceedings of the Intl Erice School ``Quarks in Hadrons and Nuclei'', 29th Course, 16--24 Sep 2007, Sicily, Italy

References in corpus (5)

• Electromagnetic excitation of the Delta(1232)-resonance
• Chiral Effective-Field Theory in the Delta(1232) Region: Pion Electroproduction on the Nucleon
• Chiral effective-field theory in the Delta(1232) region: II. radiative pion photoproduction
• Magnetic dipole moment of the $\Delta (1232)$ in chiral perturbation theory
• The lifetime of unstable particles in electromagnetic fields

Cited by in corpus (5)

• Neutrinoproduction of Photons and Pions From Nucleons in a Chiral Effective Field Theory for Nuclei
• πN scattering in relativistic baryon chiral perturbation theory revisited
• Heavy-particle formalism with Foldy-Wouthuysen representation
• Pseudoscalar Meson and Decuplet Baryon Scattering Lengths
• Chiral Lagrangians with $\Delta (1232)$ to one loop