On the definition of the Δmass and width

Abstract

In the framework of effective field theory we show that, at two-loop order, the mass and width of the Δresonance defined via the (relativistic) Breit-Wigner parametrization both depend on the choice of field variables. In contrast, the complex-valued position of the pole of the propagator is independent of this choice.

3 pages, 1 figure, REVTeX 4

References in corpus (6)

• Electromagnetic excitation of the Delta(1232)-resonance
• Heavy Baryon Chiral Perturbation Theory with Light Deltas
• The Nielsen Identities of the SM and the definition of mass
• Including the $\Delta (1232)$ resonance in baryon chiral perturbation theory
• Relativistic resonances: Their masses, widths, lifetimes, superposition, and causal evolution
• Consistency of the $\pi \Delta$ interaction in chiral perturbation theory

Cited by in corpus (15)

• Electromagnetic Excitation of Nucleon Resonances
• Towards a theory of hadron resonances
• A Lattice Study of the Glue in the Nucleon
• The role of the background in the extraction of resonance contributions from meson-baryon scattering
• Mass and width of the Roper resonance using complex-mass renormalization
• $\pi N$ Scattering in the $\Delta (1232)$ Region in an Effective Field Theory
• P-wave nucleon-pion scattering amplitude in the $\Delta (1232)$ channel from lattice QCD
• Singularity structure of the pi N scattering amplitude in a meson-exchange model up to energies W < 2.0 GeV
• The physical meaning of scattering matrix singularities in coupled-channel formalisms
• Binding energy of the $X(3872)$ at unphysical pion masses
• Magnetic moment of the Roper resonance
• How to define physical properties of unstable particles
• Numerical calculation of the decay widths, the decay constants, and the decay energy spectra of the resonances of the delta-shell potential
• Fundamental properties of resonances
• Mass and width of the $\Delta (1232)$ resonance using complex-mass renormalization