Elastic and radiative pion-proton scattering and properties of the Delta++ resonance

G. LOPEZ CASTRO; A. MARIANO

NUCLEAR PHYSICS A

ELSEVIER SCIENCE BV

Lugar: Amsterdam; Año: 2001 vol. 697 p. 440 - 468

0375-9474

We study the Delta 􏰀++ contributions to elastic and radiative πpion-proton scattering within an effective Lagrangian model which incorporates the 􏰀, nucleon, rho and sigma meson degrees of freedom. This model provides a description of the 􏰀 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 􏰀 resonance. The differential cross section of elastic scattering is found in very good agreement with experimental data. The magnetic dipole moment of the Delta 􏰀++, μ􏰀, 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􏰀 = (6.14 ± 0.51)e/2mp, in agreement with predictions based on the SU(6)