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Threshold scattering of the η-meson off light nuclei
| Content Provider | Semantic Scholar |
|---|---|
| Author | Rakityansky, S. A. Sofianos, S. A. Sandhas, W. Belyaev, Vasiliy |
| Copyright Year | 2008 |
| Abstract | The scattering lengths of η-meson collisions with light nuclei 2 H, 3 H, 3 He, and 4 He are calculated on the basis of few-body equations in coherent approximation. It is found that the η-nucleus scattering length depends strongly on the number of nucleons and the potential-range parameter. By taking into account the off-shell behavior of the ηN amplitude, the ηα scattering length increases considerably. In η-nucleus collisions at threshold energies, a large Final State Interaction (FSI) is expected due to the N * (1535) S 11-resonance. This resonance, which is strongly coupled to the ηN and πN channels, lies only ∼ 50 MeV above the ηN threshold and has a very broad width of Γ ≈ 150 MeV [1]. The η-nucleus dynamics, thus, is of interest from the point of view of both few-body and meson-nucleon physics. In the energy region covering the S 11-resonance, the πN and ηN scattering processes are to be considered as a coupled-channel problem [2–4]. The first of these channels has a long record of theoretical and experimental investigations, while the second one is understood only in a rudimentary way. The πN and ηN channels are connected to each other primarily via the N * (1535) resonance. In fact, the ηNN coupling constant was shown to be negligible [5–7] as compared to the one of the ηNN * vertex. This latter vertex constant, being hence crucial for determining the ηN interaction, is known only with a large uncertainty, so that the ηN scattering length inferred from it varies from (0.27 + i 0.22)fm [2] to (0.55 + i 0.30)fm [8]. The ηN near-threshold interaction, therefore, remains an interesting field of investigation. Of particular relevance in this context is the possibility of η-nucleus bound states [9,10]. Their existence would provide us with an excellent opportunity to answer the above-mentioned questions in a reliable manner. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/nucl-th/9504020v1.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Approximation Bound state Coherence (physics) Coupling constant Energy, Physics Inference Mesons Nucleons Population Parameter Relevance Resonance Scattering length Stanford University centers and institutes Vertex collision width |
| Content Type | Text |
| Resource Type | Article |
