The $\eta$-3N problem with separable interactions

Abstract

The $\eta$-3N-interaction is studied within the four-body Faddeev-Yakubovsky theory adopting purely separable forms for the two- and three-body subamplitudes, limiting the basic two-body interactions to s-waves only. The corresponding separable approximation for the integral kernels is obtained by using the Hilbert-Schmidt procedure. Results are presented for the $\eta$-${}^3$H scattering amplitude and for the total elastic cross section for energies below the triton break-up threshold.

revised version accepted for Phys. Rev. C, 16 pages revtex including 6 eps-figures, formal part shortened

Cited by in corpus (20)

• Study of Non-Strange Baryon Resonances with Meson Photoproduction
• Near threshold eta meson production in the d+d->alpha+eta reaction
• Photoproduction of eta meson within a coupled-channels K-matrix approach
• Low-energy etaN interactions: scattering lengths and resonance parameters
• 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
• Bounds on the bound η^3He system
• Few-body calculations of $\eta$-nuclear quasibound states
• Low-energy scattering and photoproduction of $\eta$-mesons on three-body nuclei
• Binding of charmonium with two- and three-body nuclei
• Eta meson production in nucleon-nucleon collisions within an effective Lagrangian model
• The $\eta {-}^3$He scattering length revisited
• Coherent π0η photoproduction on s-shell nuclei
• Coupled-channels Faddeev AGS calculation of $K^{-}ppn$ and $K^{-}ppp$ quasi-bound states
• Study of the 3He-eta system in d-p collisions
• Structure, formation and decay of $\bar{K}NN$ system by Faddeev-AGS calculations
• Binding vs. scattering length: $\eta$ in light nuclei
• Spin observables of the reaction pd-3He eta and quasi-bound 3He-eta pole
• Open and Hidden Strangeness Production in Nucleon-Nucleon Collisions