dorsal/arxiv
View Schema$\gamma^{*}N\Delta$ Form Factors from a Relativistic Dynamical Model of Pion Electroproduction
| Authors | G. L. Caia, V. Pascalutsa, J. A. Tjon, L. E. Wright |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0407069 |
| URL | https://arxiv.org/abs/nucl-th/0407069 |
| DOI | 10.1103/PhysRevC.70.032201 |
| Journal | Phys.Rev.C70:032201,2004 |
Abstract
We obtain the electromagnetic form factors of the $\gamma N\Delta$ transition by analyzing recent pion-electroproduction data using a fully relativistic dynamical model. Special care is taken to satisfy Ward-Takahashi identities for the Born term in the presence of form factors thereby allowing the use of realistic electromagnetic form factors of the nucleon and pion. We parametrize the $Q^2$ dependence of the {\it bare} $\gamma N \Delta$ form factors by a three-parameter form which is consistent with the asymptotic behavior inferred from QCD. The parameters of the bare $\gamma N \Delta$ form factors are the only free parameters of the model and are fitted to the differential cross-section and multipole-analysis data up to $Q^2=4$ (GeV/c)$^2$ in the $\Delta(1232)$-resonance region. This analysis emphasizes the significance of the pion-cloud effects in the extraction of the resonance parameters.
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"abstract": "We obtain the electromagnetic form factors of the $\\gamma N\\Delta$ transition\nby analyzing recent pion-electroproduction data using a fully relativistic\ndynamical model. Special care is taken to satisfy Ward-Takahashi identities for\nthe Born term in the presence of form factors thereby allowing the use of\nrealistic electromagnetic form factors of the nucleon and pion. We parametrize\nthe $Q^2$ dependence of the {\\it bare} $\\gamma N \\Delta$ form factors by a\nthree-parameter form which is consistent with the asymptotic behavior inferred\nfrom QCD. The parameters of the bare $\\gamma N \\Delta$ form factors are the\nonly free parameters of the model and are fitted to the differential\ncross-section and multipole-analysis data up to $Q^2=4$ (GeV/c)$^2$ in the\n$\\Delta(1232)$-resonance region. This analysis emphasizes the significance of\nthe pion-cloud effects in the extraction of the resonance parameters.",
"arxiv_id": "nucl-th/0407069",
"authors": [
"G. L. Caia",
"V. Pascalutsa",
"J. A. Tjon",
"L. E. Wright"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1103/PhysRevC.70.032201",
"journal_ref": "Phys.Rev.C70:032201,2004",
"title": "$\\gamma^{*}N\\Delta$ Form Factors from a Relativistic Dynamical Model of Pion Electroproduction",
"url": "https://arxiv.org/abs/nucl-th/0407069"
},
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