Faddeev calculations suggest that: (i)BΛΛ(ΛΛ6He for the recent KEK emulsion event is compatible with fairly weak ΛΛ potentials VΛΛ such as due to the Nijmegen soft-core NSC97 model; (ii) the isodoublet ΛΛ5H - ΛΛ5He hypernuclei are particle-stable even in the limit VΛΛ → 0; and (iii) ΛΛ4H considered as a ΛΛd system is particle-stable over a wide range of strengths VΛΛ However, four-body ΛΛpn Faddeev-Yakubovsky calculations do not produce a bound state for ΛΛ4H even for VΛΛ considerably stronger than required to reproduce BΛΛ(Λ6He). This is in contrast to the normal situation (e.g. ΛΛ10Be) where a four-body Faddeev-Yakubovsky calculation yields stronger binding than that due to a suitably defined three-body Faddeev calculation.
For stranger systems, Faddeev calculations using ΛΞ interactions which simulate model NSC97 suggest that ΛΞ6He marks the onset of nuclear stability for Ξ hyperons.
Faddeev Calculation Nuclear Stability Rearrangement Channel Identical Nucleon Hypernuclear System
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