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 S11 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 ReaηN≲1 fm, with aηN 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 ReaηN≈1fm. The role of handling self consistently the subthreshold ηN interaction is carefully studied.
Original language | American 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
Funding Information:We thank Jiří Mareš for carefully reading this manuscript and making useful remarks. This work was supported in part (N.B.) by the Israel Science Foundation grant 954/09 , and in part (E.F., A.G.) by the EU initiative FP7 , Hadron-Physics3, under the SPHERE and LEANNIS cooperation programs.
Publisher Copyright:
© 2015 The Authors.
Keywords
- Few-body systems
- Forces in hadronic systems and effective interactions
- Mesic nuclei