dorsal/arxiv
View SchemaThe position and the residues of the delta resonance pole in pion photoproduction
| Authors | O. Hanstein, D. Drechsel, L. Tiator |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9605008 |
| URL | https://arxiv.org/abs/nucl-th/9605008 |
| DOI | 10.1016/0370-2693(96)00855-6 |
| Journal | Phys.Lett.B385:45-51,1996 |
Abstract
We have analyzed the $M_{1+}^{(3/2)}$ and $E_{1+}^{(3/2)}$ multipole amplitudes of pion photoproduction in the framework of fixed-$t$ dispersion relations. Applying the speed plot technique to our results for these multipoles, we have determined the position and the residues of the $\Delta$ (1232) resonance pole. The pole is found at total $c.m.$ energy $W = (1211 - 50i)$ MeV on the second Riemann sheet, and the ratio of the electric and magnetic residues is $R_{\Delta} = - 0.035 - 0.046 i$, resulting in an E2/M1 ratio for the "dressed" delta resonance of $- 3.5 \%$.
{
"annotation_id": "29610e03-cf90-4194-81b7-48646be876e0",
"date_created": "2026-03-02T18:00:18.191000Z",
"date_modified": "2026-03-02T18:00:18.191000Z",
"file_hash": "b4fd09a88e77413cb19546c4e3f56ee2d5f1089f27f55582581099cc5025cc41",
"private": false,
"record": {
"abstract": "We have analyzed the $M_{1+}^{(3/2)}$ and $E_{1+}^{(3/2)}$ multipole\namplitudes of pion photoproduction in the framework of fixed-$t$ dispersion\nrelations. Applying the speed plot technique to our results for these\nmultipoles, we have determined the position and the residues of the $\\Delta$\n(1232) resonance pole. The pole is found at total $c.m.$ energy $W = (1211 -\n50i)$ MeV on the second Riemann sheet, and the ratio of the electric and\nmagnetic residues is $R_{\\Delta} = - 0.035 - 0.046 i$, resulting in an E2/M1\nratio for the \"dressed\" delta resonance of $- 3.5 \\%$.",
"arxiv_id": "nucl-th/9605008",
"authors": [
"O. Hanstein",
"D. Drechsel",
"L. Tiator"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1016/0370-2693(96)00855-6",
"journal_ref": "Phys.Lett.B385:45-51,1996",
"title": "The position and the residues of the delta resonance pole in pion photoproduction",
"url": "https://arxiv.org/abs/nucl-th/9605008"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "2605a514-0e84-4b44-a3af-824294e290e3",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}