Unitary ambiguity in the extraction of the {ital E}2/{ital M}1 ratio for the {gamma}{ital N}{leftrightarrow}{Delta} transition
- Institut fuer Kernphysik, Johannes Gutenberg-Universitaet, D-55099 Mainz (Germany)
The resonant electric quadrupole amplitude in the transition {gamma}{ital N}{leftrightarrow}{Delta}(1232) is of great interest for the understanding of baryon structure. Various dynamical models have been developed to extract it from the corresponding photoproduction multipole of pions on nucleons. It is shown that once such a model is specified, a whole class of unitarily equivalent models can be constructed, all of them providing exactly the same fit to the experimental data. However, they may predict quite different resonant amplitudes. Therefore, the extraction of the {ital E}2/{ital M}1({gamma}{ital N}{leftrightarrow}{Delta}) ratio (bare or dressed), which is based on a dynamical model using a largely phenomenological {pi}{ital N} interaction, is not unique. {copyright} {ital 1996 The American Physical Society.}
- OSTI ID:
- 383353
- Journal Information:
- Physical Review, C, Journal Name: Physical Review, C Journal Issue: 3 Vol. 54; ISSN PRVCAN; ISSN 0556-2813
- Country of Publication:
- United States
- Language:
- English
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