Small eta-N scattering lengths favour eta-d and eta-alpha states

Abstract

Unstable states of the eta meson and the 3He nucleus predicted using the time delay method were found to be in agreement with a recent claim of eta-mesic 3He states made by the TAPS collaboration. Here, we extend this method to a speculative study of the unstable states occurring in the eta-d and eta-4He elastic scattering. The T-matrix for eta-4He scattering is evaluated within the Finite Rank Approximation (FRA) of few body equations. For the evaluation of time delay in the eta-d case, we use a parameterization of an existing Faddeev calculation and compare the results with those obtained from FRA. With an eta-N scattering length, $a_{\eta N}=(0.42,0.34)$ fm, we find an eta-d unstable bound state around -16 MeV, within the Faddeev calculation. A similar state within the FRA is found for a low value of $a_{\eta N}$, namely, $a_{\eta N}=(0.28,0.19)$ fm. The existence of an eta-4He unstable bound state close to threshold is hinted by $a_{\eta N}=(0.28,0.19)$ fm, but is ruled out by large scattering lengths.

arXiv comment21 pages, LaTex, 7 Figures

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Cited by in corpus (12)

• Interaction of eta mesons with nuclei
• Meson-baryon scattering lengths in HB$\chi$PT
• Quantum reflection and dwell times of metastable states
• Search for eta-mesic 4He in the dd->3He n pi0 and dd->3He p pi- reactions with the WASA-at-COSY facility
• Search for Quasi Bound $\eta$ Mesons
• Timescales of tunneling decay of a localized state
• Solution of the eta-4He problem with quasi-particle formalism
• Momentum distribution of N${}^{\ast }$ in nuclei
• Interference and nuclear medium effects on the eta-mesic nuclear spectrum
• A study of the $pd\to pd\eta$ reaction
• Eta meson rescattering effects in the p + 6Li --> eta + 7Be reaction near threshold
• Pairwise final state interactions in the p d --> p d eta reaction near threshold