Elastic and radiative pi^+p scattering and properties of the Delta^{++} resonance

Abstract

We study the Delta^{++} contributions to elastic and radiative π^+p scattering within an effective Lagrangian model which incorporates the Delta, N, rho and sigma meson degrees of freedom. This model provides a description of the Delta resonance and its interactions that respects electromagnetic gauge invariance and invariance under contact transformations when finite width effects are incorporated. Following recent developments in the description of unstable gauge bosons, we use a complex mass scheme to introduce the finite width of the Delta^{++} without spoiling gauge invariance. The total cross section of elastic π^+p scattering, whose amplitude exhibits the resonant plus background structure of S-matrix theory, is used to fix the mass, width and strong coupling of the Δresonance. The differential cross section of elastic scattering is found in very good agreement with experimental data. The magnetic dipole moment of the Delta^{++}, μ_{Delta}, is left as the only adjustable parameter in radiative π^+p scattering. From a fit to the most sensitive configurations for photon emission in this process, we obtain μ_Δ = (6.14 +-0.51)e/2m_p, in agreement with predictions based on the SU(6) quark model.

42 pages, 12 figures. Unitarity effects, a few corrections to the text and new references have been added. Main conclusions remain unchanged

References in corpus (2)

• Field theory of nucleon to higher-spin baryon transitions
• Gauge invariance and finite width effects in radiative two-pion tau lepton decay

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