dorsal/arxiv
View SchemaUpdate of the pi N --> eta N and eta N --> eta N partial-wave amplitudes
| Authors | Mijo Batinic, Ivan Dadic, Ivo Slaus, Alfred Svarc, B. M. K. Nefkens, T. -S. H. Lee |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9703023 |
| URL | https://arxiv.org/abs/nucl-th/9703023 |
Abstract
A three-channel, multi-resonance, unitary model developed in 1995 is used to determine the $\pi N \rightarrow \eta N$ and $\eta N \rightarrow \eta N$ amplitudes using as input the latest data for the dominant $S_{11}$ $\pi N$ elastic scattering partial wave following suggestions of Prof. G. H\"{o}hler. The sign error in the numerical evaluation of the dispersion integral in the original publication is eliminated. The remaining weighted data set for the $\pi N \rightarrow \eta N$ total and differential cross sections is used as in the original publication. The correction of the numerical error influences the $\eta N$ cusp effect and improves the quality of the fit to the input data. However, our new result for the $\eta N$ scattering length, $a_{\eta N }= (0.717 \pm 0.030) + i (0.263 \pm 0.025)$ fm, is a sole consequence of the correction of the $S_{11}$ input and suggests that the $\eta d$ system is unbound or loosely bound.
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"date_modified": "2026-03-02T18:00:17.931000Z",
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"abstract": "A three-channel, multi-resonance, unitary model developed in 1995 is used to\ndetermine the $\\pi N \\rightarrow \\eta N$ and $\\eta N \\rightarrow \\eta N$\namplitudes using as input the latest data for the dominant $S_{11}$ $\\pi N$\nelastic scattering partial wave following suggestions of Prof. G. H\\\"{o}hler.\nThe sign error in the numerical evaluation of the dispersion integral in the\noriginal publication is eliminated. The remaining weighted data set for the\n$\\pi N \\rightarrow \\eta N$ total and differential cross sections is used as in\nthe original publication. The correction of the numerical error influences the\n$\\eta N$ cusp effect and improves the quality of the fit to the input data.\nHowever, our new result for the $\\eta N$ scattering length, $a_{\\eta N }=\n(0.717 \\pm 0.030) + i (0.263 \\pm 0.025)$ fm, is a sole consequence of the\ncorrection of the $S_{11}$ input and suggests that the $\\eta d$ system is\nunbound or loosely bound.",
"arxiv_id": "nucl-th/9703023",
"authors": [
"Mijo Batinic",
"Ivan Dadic",
"Ivo Slaus",
"Alfred Svarc",
"B. M. K. Nefkens",
"T. -S. H. Lee"
],
"categories": [
"nucl-th"
],
"title": "Update of the pi N --\u003e eta N and eta N --\u003e eta N partial-wave amplitudes",
"url": "https://arxiv.org/abs/nucl-th/9703023"
},
"schema_id": "dorsal/arxiv",
"source": {
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"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
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