The onset of ΛΛ hypernuclear binding

L. Contessi, M. Schäfer, N. Barnea, A. Gal*, J. Mareš

*Corresponding author for this work

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Binding energies of light, A≤6, ΛΛ hypernuclei are calculated using the stochastic variational method in a pionless effective field theory (π̸EFT) approach at leading order with the purpose of assessing critically the onset of binding in the strangeness S=−2 hadronic sector. The π̸EFT input in this sector consists of (i) a ΛΛ contact term constrained by the ΛΛ scattering length aΛΛ, using a range of values compatible with ΛΛ correlations observed in relativistic heavy ion collisions, and (ii) a ΛΛN contact term constrained by the only available A≤6 ΛΛ hypernucler binding energy datum of ΛΛ 6He. The recently debated neutral three-body and four-body systems ΛΛ 3n and ΛΛ 4n are found unbound by a wide margin. A relatively large value of |aΛΛ|≳1.5 fm is needed to bind ΛΛ 4H, thereby questioning its particle stability. In contrast, the particle stability of the A=5 ΛΛ hypernuclear isodoublet ΛΛ 5H–ΛΛ 5He is robust, with Λ separation energy of order 1 MeV.

Original languageAmerican English
Article number134893
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
StatePublished - 10 Oct 2019

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© 2019 The Author(s)


  • LO π̸EFT
  • Light ΛΛ hypernuclei
  • SVM calculations


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