Absorptive one-loop corrections and the complex-mass prescription for the Δ resonance propagator

Abstract

It is shown that the absorptive one-loop self-energy corrections to the δ ++ propagator can reproduce the complex-mass prescription for its resonant form. The effects of absorptive corrections beyond the ones considered in the complex-mass (CM) prescription for the propagator turn out to be negligible in the cross section of π +p elastic scattering. This result brings support to the CM approximation used in previous calculations to include the Δ baryon in processes involving the production of the πN system in the resonance region. © 2012 IOP Publishing Ltd.