Soft photon analysis of pion-proton bremsstrahlung and the magnetic moment of Delta(1232).
Item
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Title
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Soft photon analysis of pion-proton bremsstrahlung and the magnetic moment of Delta(1232).
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Identifier
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AAI9304694
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identifier
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9304694
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Creator
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Lin, Dahang.
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Contributor
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Adviser: MingKung Liou
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Date
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1992
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Language
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English
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Publisher
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City University of New York.
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Subject
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Physics, Nuclear | Physics, Radiation
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Abstract
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We have rigorously derived a special two-energy-two-angle amplitude for the {dollar}\rm\pi\sp\pm p\gamma{dollar} process near the {dollar}\Delta{dollar}(1232) resonance. In order to take into account bremsstrahlung emission from an internal {dollar}\Delta{dollar} line with both charge and the anomalous magnetic moment {dollar}\lambda(\lambda\sb\Delta{dollar} for the {dollar}\Delta\sp{lcub}++{rcub}{dollar} and {dollar}\lambda\sb\Delta\sp\prime{dollar} for the {dollar}\Delta\sp0),{dollar} we have applied a radiation decomposition identity to modify Low's standard prescription for constructing a soft-photon amplitude. We have also used the special two-energy-two-angle amplitude to calculate all {dollar}\rm\pi\sp\pm p\gamma{dollar} cross sections which can be compared with the experimental data. Treading {dollar}\lambda{dollar} as a free parameter in these calculations, the magnetic moments of the {dollar}\Delta,{dollar} {dollar}\mu\sb\Delta{dollar} for the {dollar}\Delta\sp{lcub}++{rcub}{dollar} and {dollar}\mu\sb\Delta\sp\prime{dollar} for the {dollar}\Delta\sp0,{dollar} have been extracted from the UCLA data and the SIN data. The average value of {dollar}\mu\sb\Delta{dollar} determined from the experimental data is 4.35 e/(2m{dollar}\sb{lcub}\rm p{rcub}){dollar} (m{dollar}\sb{lcub}\rm p{rcub}{dollar} is the proton mass), which is in good agreement with the value 4.25 e/(2m{dollar}\sb{lcub}\rm p{rcub}){dollar} predicted by a modified SU(6) model. The average value of {dollar}\mu\sb\Delta\sp\prime{dollar} determined from the experimental data is 0.5 e/(2m{dollar}\sb{lcub}\rm p{rcub}),{dollar} which is in accord with the value predicted by the SU(6) model. Finally, we show 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 {dollar}\mu\sb\Delta{dollar} (or {dollar}\mu\sb\Delta\sp\prime){dollar} as an input.
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Type
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dissertation
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Source
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PQT Legacy CUNY.xlsx
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degree
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Ph.D.
