Bounds on the bound η^3He system

Abstract

We investigate the relation between the η^3He binding energy and width and the (complex) η^3He scattering length. Following our systematic analysis of the eta 3He scattering length we set limits on the η^3He binding. If bound states exist the binding energy (width) should not exceed 5 MeV (10 MeV). In addition, we comment on a recently claimed observation of an η-mesic ^3He quasi-bound state by the TAPS collaboration based on ηphotoproduction data. Although our limits are in reasonable agreement with the values reported by this collaboration, our analysis of these data does not lead to a solid conclusion concerning the existence of an η-mesic bound state. More dedicated experiments are necessary for further clarification.

arXiv comment5 pp, 3 figs

References in corpus (9)

• Photoproduction of eta-mesic 3He
• Near-Threshold Production of $\eta$-Mesons
• Are there eta-Helium bound states?
• Dependence of calculated binding energies and widths of $\eta$-mesic nuclei on treatment of subthreshold $\eta$-nucleon interaction
• Measurement of p + d -> 3He + eta in S(11) Resonance
• The $\eta$-3N problem with separable interactions
• On eta-pi mixing close to the eta-Helium threshold
• eta-^4He Bound States in the Skyrme Model
• Charge symmetry breaking as a probe for the real part of eta--nucleus scattering lengths

Cited by in corpus (19)

• Coherent photoproduction of eta-mesons off 3He - search for eta-mesic nuclei
• Is there an eta-3He quasi--bound state ?
• A critical analysis on deeply bound kaonic states in nuclei
• Photoproduction of eta meson within a coupled-channels K-matrix approach
• Meson-baryon scattering lengths in HB$\chi$PT
• Level crossing of particle-hole and mesonic modes in eta mesic nuclei
• Determination of the ${\mathbf{\eta }}^3\mathrm{He}$ threshold structure from the low energy $\mathbf{pd}\to {\mathbf{\eta }}^3\mathrm{He}$ reaction
• Search for Quasi Bound $\eta$ Mesons
• Extraction of scattering lengths from final-state interactions
• Eta meson production in nucleon-nucleon collisions within an effective Lagrangian model
• $\eta$-meson in nuclear matter
• Possible eta-mesic 3He states within the finite rank approximation
• Invariant mass distributions for the pp to p p eta reaction at Q=10 MeV
• Eta-mesic nuclei in relativistic mean-field theory
• Eta meson rescattering effects in the p + 6Li --> eta + 7Be reaction near threshold
• Eta-nuclear interaction: optical vs. coupled channels
• Binding vs. scattering length: $\eta$ in light nuclei
• Open and Hidden Strangeness Production in Nucleon-Nucleon Collisions
• Non-Strange Meson Production with Hadronic Probes