Abstract
Abstract We study the elastic and radiative π+p scattering within a full dynamical model which incorporates the finite width effects of the Δ++. The scattering amplitudes are invariant under contact transformations of the spin 3/2 field and gauge-invariance is fulfilled for the radiative case. The pole parameters of the Δ++ obtained from the elastic cross section are mΔ=(1211.2±0.4) MeV and ΓΔ=(88.2±0.4) MeV. From a fit to the most sensitive observables in radiative π+p scattering, we obtain μΔ=(6.14±0.51)e/2mp for the magnetic dipole moment of the Δ++.
Highlights
The description of resonances in particle physics has gotten a renewed interest with the advent of precise measurements of the Z0 gauge boson properties at LEP [1]
We study the elastic and radiative π+p scattering within a full dynamical model which incorporates the finite width effects of the ∆++
The model, to be described below, reproduces very well the total and differential cross sections for elastic π+p scattering close to the resonance region. This model provides an amplitude for radiative π+p scattering that satisfies electromagnetic gauge invariance when finite width effects of the ∆++ resonance are taken into account
Summary
The description of resonances in particle physics has gotten a renewed interest with the advent of precise measurements of the Z0 gauge boson properties at LEP [1]. We study the elastic and radiative π+p scattering within a full dynamical model which incorporates the finite width effects of the ∆++. The aim of the present Letter is to determine the magnetic dipole moment (MDM) of the ∆++ resonance by using a full dynamical model which consistently describes elastic and radiative π+p scattering data.
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