dorsal/arxiv
View Schema\pi\pi, K\pi and \pi N potential scattering and a prediction of a narrow \sigma meson resonance
| Authors | M. Sander, H. V. von Geramb |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9703031 |
| URL | https://arxiv.org/abs/nucl-th/9703031 |
| DOI | 10.1103/PhysRevC.56.1218 |
| Journal | Phys.Rev.C56:1218-1230,1997 |
Abstract
Low energy scattering and bound state properties of the \pi N, \pi\pi and K\pi systems are studied as coupled channel problems using inversion potentials of phase shift data. In a first step we apply the potential model to explain recent measurements of pionic hydrogen shift and width. Secondly, predictions of the model for pionium lifetime and shift confirm a well known and widely used effective range expression. Thirdly, as extension of this confirmation, we predict an unexpected medium effect of the pionium lifetime which shortens by several orders of magnitude. The \sigma meson shows a narrow resonance structure as a function of the medium modified mass with the implication of being essentially energy independent. Similarly, we see this medium resonance effect realized for the K\pi system. To support our findings we present also results for the \rho meson and the \Delta(1232) resonance.
{
"annotation_id": "bbb04d5c-5882-47ba-bb66-d682c2b6ef2d",
"date_created": "2026-03-02T18:00:17.933000Z",
"date_modified": "2026-03-02T18:00:17.933000Z",
"file_hash": "ed0a4a6fb892bd6fdd16781860f6e6f3592c9bbd5d13a6a8c1202fb27e2bb52b",
"private": false,
"record": {
"abstract": "Low energy scattering and bound state properties of the \\pi N, \\pi\\pi and\nK\\pi systems are studied as coupled channel problems using inversion potentials\nof phase shift data. In a first step we apply the potential model to explain\nrecent measurements of pionic hydrogen shift and width. Secondly, predictions\nof the model for pionium lifetime and shift confirm a well known and widely\nused effective range expression. Thirdly, as extension of this confirmation, we\npredict an unexpected medium effect of the pionium lifetime which shortens by\nseveral orders of magnitude. The \\sigma meson shows a narrow resonance\nstructure as a function of the medium modified mass with the implication of\nbeing essentially energy independent. Similarly, we see this medium resonance\neffect realized for the K\\pi system. To support our findings we present also\nresults for the \\rho meson and the \\Delta(1232) resonance.",
"arxiv_id": "nucl-th/9703031",
"authors": [
"M. Sander",
"H. V. von Geramb"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.56.1218",
"journal_ref": "Phys.Rev.C56:1218-1230,1997",
"title": "\\pi\\pi, K\\pi and \\pi N potential scattering and a prediction of a narrow \\sigma meson resonance",
"url": "https://arxiv.org/abs/nucl-th/9703031"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "a081deb2-48ec-40cb-afe5-ad29cf9ea39c",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}