dorsal/arxiv
View SchemaUnitary ambiguity in the extraction of the E2/M1 ratio for the $\gamma N\leftrightarrow\Delta$ transition
| Authors | P. Wilhelm, Th. Wilbois, H. Arenhoevel |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9606015 |
| URL | https://arxiv.org/abs/nucl-th/9606015 |
| DOI | 10.1103/PhysRevC.54.1423 |
| Journal | Phys.Rev.C54:1423-1426,1996 |
Abstract
The resonant electric quadrupole amplitude in the transition $\gamma N\leftrightarrow\Delta(1232)$ 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 E2/M1($\gamma N\leftrightarrow\Delta$) ratio (bare or dressed) which is based on a dynamical model using a largely phenomenological $\pi N$ interaction is not unique.
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"abstract": "The resonant electric quadrupole amplitude in the transition $\\gamma\nN\\leftrightarrow\\Delta(1232)$ is of great interest for the understanding of\nbaryon structure. Various dynamical models have been developed to extract it\nfrom the corresponding photoproduction multipole of pions on nucleons. It is\nshown that once such a model is specified, a whole class of unitarily\nequivalent models can be constructed, all of them providing exactly the same\nfit to the experimental data. However, they may predict quite different\nresonant amplitudes. Therefore, the extraction of the E2/M1($\\gamma\nN\\leftrightarrow\\Delta$) ratio (bare or dressed) which is based on a dynamical\nmodel using a largely phenomenological $\\pi N$ interaction is not unique.",
"arxiv_id": "nucl-th/9606015",
"authors": [
"P. Wilhelm",
"Th. Wilbois",
"H. Arenhoevel"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.54.1423",
"journal_ref": "Phys.Rev.C54:1423-1426,1996",
"title": "Unitary ambiguity in the extraction of the E2/M1 ratio for the $\\gamma N\\leftrightarrow\\Delta$ transition",
"url": "https://arxiv.org/abs/nucl-th/9606015"
},
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