Chirally motivated separable potential model for $\eta N$ amplitudes

Abstract

We analyze the $\eta N$ interaction using a coupled channel separable potential model that implements the chiral symmetry. The model predicts an $\eta N$ stattering length $\Re a_{\eta N}\approx 0.7$ fm and in-medium subthreshold attraction most likely sufficient to generate $\eta$-nuclear bound states. The energy dependence of the $\eta N$ amplitude and pole content of the model are discussed. An idea of the same origin of the baryon resonances $N^{\star }(1535)$ and $N^{\star }(1650)$ is presented.

32 pages, 8 figures, a slightly extended (two paragraphs added) version that matches the paper accepted for publication in Nuclear Physics A

References in corpus (9)

• Effective Kbar N interaction based on chiral SU(3) dynamics
• $\bar{K}$ nuclear bound states in a dynamical model
• New insights into antikaon-nucleon scattering and the structure of the Lambda(1405)
• Eta-meson production in the resonance energy region
• Eta-nuclear bound states revisited
• Pion photoproduction off the proton in a gauge-invariant chiral unitary framework
• Kaonic atoms and in-medium K-N amplitudes II: interplay between theory and phenomenology
• Kaonic hydrogen versus the $K^{-}p$ low energy data
• On the origin and movement of the poles in the coupled channels model for $\bar{K}N$ interactions

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• Constraining the optical potential in the search for eta-mesic 4He
• $\eta$-nucleus interaction from the $d+d$ reaction around the $\eta$ production threshold
• MESON2016 -- Concluding Remarks
• Spectral function of the ${\eta }^{\prime }$ meson in nuclear medium based on phenomenological models
• Shadow poles in a coupled-channel problem calculated with Berggren basis
• Probing the existence of η^3He mesic nucleus with a few-body approach
• Onset of $\eta$ nuclear binding
• Dynamically generated hadronic states in the $\bar{K}N$ and $\eta N$ coupled-channels interactions