dorsal/arxiv
View SchemaPion Absorption Cross Section for ^2H and ^3He in the Delta-Isobar Region: A Phenomenological Connection
| Authors | H. Kamada, M. P. Locher, T. -S. H. Lee, J. Golak, V. E. Markushin, W. Glöckle, H. Witala |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9612055 |
| URL | https://arxiv.org/abs/nucl-th/9612055 |
| DOI | 10.1103/PhysRevC.55.2563 |
| Journal | Phys.Rev.C55:2563-2570,1997 |
Abstract
The absorption of \pi^+ on ^3He in the $\Delta$-region is evaluated with exact inclusion of the final state interaction among the three emerging protons. The absorption is described by a $\pi N \to \Delta$ vertex and a $N\Delta - NN$ transition t-matrix which are calculated from a phenomenological model for NN and \pi d reactions. In a calculation where the initial pion scattering effects are neglected, the predicted peaks of the pion absorption cross sections for ^2H and ^3He lie too high in energy in relation to the data. The effect of the final state three-nucleon interaction turns out to be too small for changing the magnitude and shifting the peak position of the total absorption cross section for ^3He. We demonstrate that the adjustment of the peak position for the deuteron cross section by small modifications of the $\Delta$-parameters, automatically leads to the correct peak position in ^3He.
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"abstract": "The absorption of \\pi^+ on ^3He in the $\\Delta$-region is evaluated with\nexact inclusion of the final state interaction among the three emerging\nprotons. The absorption is described by a $\\pi N \\to \\Delta$ vertex and a\n$N\\Delta - NN$ transition t-matrix which are calculated from a phenomenological\nmodel for NN and \\pi d reactions. In a calculation where the initial pion\nscattering effects are neglected, the predicted peaks of the pion absorption\ncross sections for ^2H and ^3He lie too high in energy in relation to the data.\nThe effect of the final state three-nucleon interaction turns out to be too\nsmall for changing the magnitude and shifting the peak position of the total\nabsorption cross section for ^3He. We demonstrate that the adjustment of the\npeak position for the deuteron cross section by small modifications of the\n$\\Delta$-parameters, automatically leads to the correct peak position in ^3He.",
"arxiv_id": "nucl-th/9612055",
"authors": [
"H. Kamada",
"M. P. Locher",
"T. -S. H. Lee",
"J. Golak",
"V. E. Markushin",
"W. Gl\u00f6ckle",
"H. Witala"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.55.2563",
"journal_ref": "Phys.Rev.C55:2563-2570,1997",
"title": "Pion Absorption Cross Section for ^2H and ^3He in the Delta-Isobar Region: A Phenomenological Connection",
"url": "https://arxiv.org/abs/nucl-th/9612055"
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