Possible eta-mesic 3He states within the finite rank approximation

Abstract

We extend the method of time delay proposed by Eisenbud and Wigner, to search for unstable states formed by eta mesons and the 3He nucleus. Using few body equations to describe eta-3He elastic scattering, we predict resonances and unstable bound states within different models of the eta-N interaction. The eta-3He states predicted within this novel approach are in agreement with the recent claim of the evidence of eta-mesic 3He made by the TAPS collaboration.

10 pages LaTex, 3 figures

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Cited by in corpus (12)

• η- and η'-mesic nuclei and U_A(1) anomaly at finite density
• Interaction of eta mesons with nuclei
• Quantum reflection and dwell times of metastable states
• Formation of eta-mesic nuclei by (pi,N) reaction and N^*(1535) in medium
• Search for Quasi Bound $\eta$ Mesons
• $\eta$-nucleus interaction from the $d+d$ reaction around the $\eta$ production threshold
• Small eta-N scattering lengths favour eta-d and eta-alpha states
• Comment on "Hadronic ${}^3$He$\eta$ production near threshold"
• Eta meson rescattering effects in the p + 6Li --> eta + 7Be reaction near threshold
• Systematic few-body analysis of eta-d, eta-3He and eta-4He interaction at low energies
• Pairwise final state interactions in the p d --> p d eta reaction near threshold
• On scattering cross sections and durations near an isolated compound-resonance, distorted by the non-resonant background, in the center-of-mass and laboratory systems