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Soft-photon analysis of pion-proton bremsstrahlung and the magnetic moment of Delta(1232)

Thesis/Dissertation ·
OSTI ID:5578055
This study rigorously derives a special two-energy-two-angle amplitude for the [pi][sup [+-]]p[gamma] process near the [delta](1232) resonance. In order to take into account bremsstrahlung emission from an internal [delta] line with both charge and the anomalous magnetic moment [lambda]([lambda][sub [delta]] for the [delta][sup ++] and [lambda][sub [delta]][prime] for the [delta][sup 0]), a radiation decomposition identity to modify Low's standard prescription for constructing a soft-photon amplitude has been applied as well as the special two-energy-two-angle amplitude to calculate all [pi][sup [+-]]p[gamma] cross sections which can be compared with the experimental data. Treading [lambda] as a free parameter in these calculations, the magnetic moments of the [delta], [mu][delta] for the [delta][sup ++] and [mu][delta][prime] for the [delta][sup 0], have been extracted from the UCLA data and the SIN data. The average value of [mu][delta] determined from the experimental data is 4.35 e/(2m[sub p]) (m[sub p] is the proton mass), which is in good agreement with the value 4.25 e/(2m[sub p]) predicted by a modified SU(6) model. The average value of [mu][delta][prime] determined from the experimental data is 0.5 e/(2m[sub p]), which is in accord with the value predicted by the SU(6) model. Finally, it is shown that the overall agreement between theory and experiment is excellent if the special two-energy-two-angle amplitude is used in the calculation with the extracted [mu][delta] (or [mu][delta][prime]) as an input.
Research Organization:
City Univ. of New York, NY (United States)
OSTI ID:
5578055
Country of Publication:
United States
Language:
English