The width of the $\Delta$-resonance at two loop order in baryon chiral perturbation theory

Abstract

We calculate the width of the delta resonance at leading two-loop order in baryon chiral perturbation theory. This gives a correlation between the leading pion-nucleon-delta and pion-delta couplings, which is relevant for the analysis of pion-nucleon scattering and other processes.

arXiv comment7 pages, 3 figures

References in corpus (14)

• Big-Bang Nucleosynthesis
• Chiral Dynamics in Nucleons and Nuclei
• Reduction schemes for one-loop tensor integrals
• Renormalization of relativistic baryon chiral perturbation theory and power counting
• Electromagnetic excitation of the Delta(1232)-resonance
• Heavy Baryon Chiral Perturbation Theory with Light Deltas
• Effective theory of the Delta(1232) in Compton scattering off the nucleon
• Matching Heavy Particle Approach to Relativistic Theory
• Including the $\Delta (1232)$ resonance in baryon chiral perturbation theory
• Infrared regularization with spin-3/2 fields
• Redundance of $\Delta$-isobar Parameters in Effective Field Theories
• New insights into the spin structure of the nucleon
• Redundancy of the off-shell parameters in chiral effective field theory with explicit spin-3/2 degrees of freedom
• The width of the Roper resonance in baryon chiral perturbation theory

Cited by in corpus (12)

• Reconciling threshold and subthreshold expansions for pion-nucleon scattering
• Towards a theory of hadron resonances
• Extraction of nucleon axial charge and radius from lattice QCD results using baryon chiral perturbation theory
• Scattering of decuplet baryons in chiral effective field theory
• Weak pion production off the nucleon in covariant chiral perturbation theory
• Pion photoproduction off nucleons in covariant chiral perturbation theory
• Nucleon-to-Delta transition form factors in chiral effective field theory using the complex-mass scheme
• Threshold pion electro- and photoproduction off nucleons in covariant chiral perturbation theory
• The density- and isospin- dependent $\Delta$-formation cross section and its decay width
• Mass and width of the $\Delta (1232)$ resonance using complex-mass renormalization
• Towards a theory of baryon resonances
• Another walk through the world of chiral dynamics