Unstable particles, gauge invariance and the Delta^{++} resonance parameters

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dc.creatorCastro, G. Lopez
dc.creatorMariano, A.
dc.date2003-02-24
dc.date.accessioned2026-07-07T03:49:13Z
dc.date.available2026-07-07T03:49:13Z
dc.descriptionThe elastic and radiative pion(+)-proton scattering are studied in the framework of an effective Lagrangian model for the Delta^{++} resonance and its interactions. The finite width effects of this spin-3/2 resonance are introduced in the scattering amplitudes through a complex mass scheme to respect electromagnetic gauge invariance. The resonant pole (Delta^{++}) and background contributions (rho^0, sigma, Delta and neutron states) are separated according to the principles of the analytic S-matrix theory. The mass and width parameters of the Δ^{++} obtained from a fit to experimental data on the total cross section are in agreement with the results of a model-independent analysis based on the analytic S-matrix approach. The magnetic dipole moment determined from the radiative pion-proton scattering is mu_Delta^{++}=(6.14 +/- 0.51) nuclear magnetons.
dc.description16 pages, 2 figures, Talk given at Zacatecas Forum in Physics, May 11-13, 2002, Zacatecas Mexico
dc.identifierhttps://arxiv.org/abs/hep-ph/0302217
dc.identifierhttp://arxiv.org/abs/hep-ph/0302217
dc.identifierFound.Phys. 33 (2003) 719-734
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/42318
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectNuclear Experiment
dc.subjectNuclear Theory
dc.titleUnstable particles, gauge invariance and the Delta^{++} resonance parameters
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