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Calculation of the [Delta][sup +][ital p][gamma] photon-decay amplitude [ital A][sub 1/2] and the [ital E][sub 1][sup +]/[ital M][sub 1][sup +] ratio in single-pion electroproduction: An algebraic approach

Journal Article · · Physical Review, D (Particles Fields); (United States)
 [1];  [2]
  1. Department of Physics, University of New Orleans, New Orleans, Louisiana 70148 (United States)
  2. Center for Theoretical Physics, University of Maryland, College Park, Maryland 20742 (United States)
A [ital nonperturbative] calculation of the [Delta][sup +][r arrow][ital P]+[gamma] transverse one-half helicity transition form factor [ital h][sub 3]([ital q][sup 2]) and the [ital A][sub 1/2] [Delta][sup +][ital P][gamma] photon-decay amplitude is made with results in good agreement with experiment. The ratio of the electric quadrupole amplitude to the magnetic dipole amplitude at resonance is calculated as a function of [ital G][sub [ital M]][sup *](0) and the [Delta][sup +] mass. We confirm that [ital G][sub [ital M]][sup *]([ital q][sup 2]) decreases more rapidly than the nucleon dipole form factor in the region where [ital G][sub [ital E]][sup *]([ital q][sup 2]) is known to be small. Our treatment is completely relativistic and current conservation is guaranteed.
OSTI ID:
5287413
Journal Information:
Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 49:1; ISSN PRVDAQ; ISSN 0556-2821
Country of Publication:
United States
Language:
English