The Onset of Binding for ΛΛ and ΛΞ Hypernuclei

Part of the Few-Body Systems book series (FEWBODY, volume 14)


Faddeev calculations suggest that: (i)B ΛΛ (Λ Λ 6 He for the recent KEK emulsion event is compatible with fairly weak ΛΛ potentials V ΛΛ such as due to the Nijmegen soft-core NSC97 model; (ii) the isodoublet Λ Λ 5 H - Λ Λ 5 He hypernuclei are particle-stable even in the limit V ΛΛ → 0; and (iii) Λ Λ 4 H considered as a ΛΛd system is particle-stable over a wide range of strengths V ΛΛ However, four-body ΛΛpn Faddeev-Yakubovsky calculations do not produce a bound state for Λ Λ 4 H even for V ΛΛ considerably stronger than required to reproduce B ΛΛ ( Λ 6 He). This is in contrast to the normal situation (e.g. Λ Λ 10 Be) 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 Λ Ξ 6 He marks the onset of nuclear stability for Ξ hyperons.


Faddeev Calculation Nuclear Stability Rearrangement Channel Identical Nucleon Hypernuclear System 
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© Springer-Verlag/Wien 2003

Authors and Affiliations

  • A. Gal
    • 1
  1. 1.Racah Institute of PhysicsThe Hebrew UniversityJerusalemIsrael

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