eta-Nucleon Scattering Length and Effective Range uncertainties

Abstract

The coupled eta-N, pi-N, gamma-N, 2pi-N system is described by a K-matrix method. The parameters in this model are adjusted to get an optimal fit to pi-N-->pi-N, pi-N-->eta-N, gamma-N-->pi-N and gamma-N-->eta-N data in an energy range of about 100 MeV or so each side of the eta-threshold. Compared with our earlier analysis, we now utilize recent Crystal Ball data. However, the outcome confirms our previous result that the eta-nucleon scattering length (a) is large with a value of 0.91(6)+i0.27(2) fm.

13 pages, 2 figures. Misprints in Eq. 7 are corrected

References in corpus (2)

• The $\eta {-}^3$He scattering length revisited
• On eta-pi mixing close to the eta-Helium threshold

Cited by in corpus (47)

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• Coupled-channels study of the ${\pi }^{-}p\to \eta n$ process
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• Formation of mesic nuclei by (γ,p) reactions
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• In-medium Eta-Nucleon interactions and Eta nuclear bound states
• Search for Quasi Bound $\eta$ Mesons
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• Eta-mesic nuclei: past, present, future
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• Few-body calculations of $\eta$-nuclear quasibound states
• Chirally motivated separable potential model for $\eta N$ amplitudes
• Binding of charmonium with two- and three-body nuclei
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• Possible eta-mesic 3He states within the finite rank approximation
• Solution of the eta-4He problem with quasi-particle formalism
• Measurement of the invariant mass distributions for the pp -> ppeta' reaction at excess energy of Q = 16.4 MeV
• Small eta-N scattering lengths favour eta-d and eta-alpha states
• A study of the $pd\to pd\eta$ reaction
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• Few-body aspects of the near threshold pseudoscalar meson production
• Eta-mesic nuclei in relativistic mean-field theory
• MESON2016 -- Concluding Remarks
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• Study of the N N eta' production with COSY-11
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• Results from the Analysis of Crystal Ball Meson Production Measurements at BNL
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• $\eta$ bound state: theory and experiment
• Study of the threshold behavior of the $\eta$N scattering amplitude through the associated photoproduction of $\varphi$- and $\eta$-mesons
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