Onset of η-nuclear binding in a pionless EFT approach

N. Barnea, B. Bazak, E. Friedman, A. Gal*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

34 Scopus citations


ηNNN and ηNNNN bound states are explored in stochastic variational method (SVM) calculations within a pionless effective field theory (EFT) approach at leading order. The theoretical input consists of regulated NN and NNN contact terms, and a regulated energy dependent ηN contact term derived from coupled-channel models of the N(1535) nucleon resonance. A self consistency procedure is applied to deal with the energy dependence of the ηN subthreshold input, resulting in a weak dependence of the calculated η-nuclear binding energies on the EFT regulator. It is found, in terms of the ηN scattering length aηN, that the onset of binding η 3He requires a minimal value of ReaηN close to 1 fm, yielding then a few MeV η binding in η 4He. The onset of binding η 4He requires a lower value of ReaηN, but exceeding 0.7 fm.

Original languageAmerican English
Pages (from-to)297-302
Number of pages6
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
StatePublished - 10 Aug 2017

Bibliographical note

Publisher Copyright:
© 2017 The Author(s)


  • Few-body systems
  • Mesic nuclei
  • π̸EFT calculations


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