Pion-proton bremsstrahlung calculation and the experimental'' magnetic moment of. Delta. sup ++ (1232)

Journal Article · Fri Nov 01 04:00:00 EST 1991 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.44.1819· OSTI ID:5101035

Lin, D; Liou, M K ^[1]; Ding, Z M ^[2]

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1. Department of Physics and Institute for Nuclear Theory, Brooklyn College of the City University of New York, Brooklyn, New York (USA)
2. Department of Physics, Central State University, Edmond, Oklahoma (USA) Department of Physics, Normandale Community College, Bloomington, Minnesota (USA)

A bremsstrahlung amplitude in the special two-energy-two-angle (TETAS) approximation, which is relativistic, gauge invariant, and consistent with the soft-photon theorem, is derived for the pion-proton bremsstrahlung ({pi}{sup +}{ital p}{gamma}) process near the {Delta}{sup ++}(1232) resonance. In order to take into account bremsstrahlung emission from an internal {Delta}{sup ++} line with both charge and the anomalous magnetic moment {lambda}{sub {Delta}}, we have applied a radiation decomposition identity to modify Low's standard prescription for constructing a soft-photon amplitude. This modified procedure is very general; it can be used to derive the TETAS amplitude for any bremsstrahlung process with resonance. The derived TETAS amplitude is applied to calculate all {pi}{sup +}{ital p}{gamma} cross sections which can be compared with the experimental data. Treating {lambda}{sub {Delta}} as a free parameter in these calculations, we extract the experimental'' magnetic moment of the {Delta}{sup ++}, {mu}{sub {Delta}}, from recent data. The extracted values of {mu}{sub {Delta}} are (3.7--4.2){ital e}/(2{ital m}{sub {ital p}}) from the University of California, Los Angeles data and (4.6--4.9){ital e}/(2{ital m}{sub {ital p}}) from the Paul Scherrer Institute data. Here, {ital m}{sub {ital p}} is the proton mass.

• OSTI ID: 5101035
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 44:5; ISSN 0556-2813; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

645202* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Electromagnetic Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BARYONS
BREMSSTRAHLUNG
CROSS SECTIONS
DELTA BARYONS
DELTA-1232 BARYONS
ELECTROMAGNETIC RADIATION
ELEMENTARY PARTICLES
FERMIONS
HADRON-HADRON INTERACTIONS
HADRONS
INTERACTIONS
LIE GROUPS
MAGNETIC MOMENTS
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
N BARYONS
PARTICLE INTERACTIONS
PION PLUS-PROTON INTERACTIONS
PION-NUCLEON INTERACTIONS
PION-PROTON INTERACTIONS
RADIATIONS
SCATTERING AMPLITUDES
SU GROUPS
SU-6 GROUPS
SYMMETRY GROUPS