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Quadrupole amplitude in the [gamma][ital N][leftrightarrow][Delta] transition

Journal Article · · Physical Review, C (Nuclear Physics); (United States)
 [1];  [2];  [3]
  1. Physics Department and Laboratory for Nuclear Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)
  2. Department of Physics, Queen's University, Kingston, Ontario, K7L3N6 (Canada)
  3. School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, 69978 Tel Aviv (Israel)
The tensor part of the color hyperfine interaction between quarks leads to a small electric quadrupole amplitude in the [gamma][ital N][leftrightarrow][Delta] excitation. It is demonstrated that pion photoproduction data available previously have a low sensitivity to the (isospin 3/2) electric quadrupole amplitude, [ital E][sub 1+](3/2). An additional difficulty is that there is an appreciable background contribution to the total [ital E][sub 1+] amplitude. The consequent difficulties in extracting the resonant part of this small amplitude from experiment are discussed. It is shown that [gamma][ital p][r arrow][pi][sup 0][ital p] and [gamma][ital p][r arrow][pi][sup +][ital n] cross sections near 0[degree] and 180[degree], and also those near 90[degree] with polarized [gamma] rays, both with and without polarized targets, have the greatest sensitivity to the [ital E][sub 1+](3/2) amplitude. Since the anticipated observable effects of the resonant [ital E]2 amplitude are expected to be [similar to]10% to 20% in magnitude, the required accuracy to extract a precise [ital E]2/[ital M]1 ratio is [similar to]1% for both experiment and theory.
DOE Contract Number:
AC02-76ER03069
OSTI ID:
6709980
Journal Information:
Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 47:3; ISSN 0556-2813; ISSN PRVCAN
Country of Publication:
United States
Language:
English