## Abstract

We report on precise hyperspherical-basis calculations of ηNN and ηNNN quasibound states, using energy dependent ηN interaction potentials derived from coupled-channel models of the S_{11} N^{*}(1535) nucleon resonance. The ηN attraction generated in these models is too weak to generate a two-body bound state. No ηNN bound-state solution was found in our calculations in models where Rea_{ηN}≲1 fm, with a_{ηN} the ηN scattering length, covering thereby the majority of N^{*}(1535) resonance models. A near-threshold ηNNN bound-state solution, with η separation energy of less than 1 MeV and width of about 15 MeV, was obtained in the 2005 Green-Wycech model where Rea_{ηN}≈1fm. The role of handling self consistently the subthreshold ηN interaction is carefully studied.

Original language | English |
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Pages (from-to) | 345-350 |

Number of pages | 6 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 747 |

DOIs | |

State | Published - 1 Jul 2015 |

### Bibliographical note

Publisher Copyright:© 2015 The Authors.

## Keywords

- Few-body systems
- Forces in hadronic systems and effective interactions
- Mesic nuclei