dorsal/arxiv
View SchemaEta-meson light nucleus scattering and Charge Symmetry Breaking
| Authors | S. A. Sofianos, S. A. Rakityansky, M. Braun |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9704026 |
| URL | https://arxiv.org/abs/nucl-th/9704026 |
Abstract
The \eta-meson collision with light nuclei, ^2H, ^3H, ^3He, and ^4He, is considered on the basis of a microscopic approach which utilises Faddeev type and Lippmann-Schwinger equations. The nuclear hamiltonian is approximated by the finite rank approximation which amounts to the coherent approximation. The \eta-nucleus scattering length and the resonance and bound--state poles of the amplitude describing elastic scattering of \eta-meson by these nuclei are obtained. For each of the nuclei considered, the minimal factor enhancing the \eta N--attraction that moves the poles to the quasi--bound state area of the complex k--plane, is determined. It is shown that within the existing uncertainties in the elementary \eta N iteraction all these nuclei can support a quasi--bound state which can result in a formation of an eta-mesic nucleus. Various aspects of the eta-nucleus physics are discussed with specific emphasis given to the \eta--nucleus effective interaction in configuration space (constructed via the Marchenko inverse scattering method), to the Okubo--Zweig--Iizuka (OZI) rule, and to the charge symmetry breaking problem.
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"abstract": "The \\eta-meson collision with light nuclei, ^2H, ^3H, ^3He, and ^4He, is\nconsidered on the basis of a microscopic approach which utilises Faddeev type\nand Lippmann-Schwinger equations. The nuclear hamiltonian is approximated by\nthe finite rank approximation which amounts to the coherent approximation. The\n\\eta-nucleus scattering length and the resonance and bound--state poles of the\namplitude describing elastic scattering of \\eta-meson by these nuclei are\nobtained. For each of the nuclei considered, the minimal factor enhancing the\n\\eta N--attraction that moves the poles to the quasi--bound state area of the\ncomplex k--plane, is determined. It is shown that within the existing\nuncertainties in the elementary \\eta N iteraction all these nuclei can support\na quasi--bound state which can result in a formation of an eta-mesic nucleus.\nVarious aspects of the eta-nucleus physics are discussed with specific emphasis\ngiven to the \\eta--nucleus effective interaction in configuration space\n(constructed via the Marchenko inverse scattering method), to the\nOkubo--Zweig--Iizuka (OZI) rule, and to the charge symmetry breaking problem.",
"arxiv_id": "nucl-th/9704026",
"authors": [
"S. A. Sofianos",
"S. A. Rakityansky",
"M. Braun"
],
"categories": [
"nucl-th"
],
"title": "Eta-meson light nucleus scattering and Charge Symmetry Breaking",
"url": "https://arxiv.org/abs/nucl-th/9704026"
},
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