Onset of η-meson binding in the He isotopes

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

31 Scopus citations


The onset of binding η(548) mesons in nuclei is studied in the He isotopes by doing precise ηNNN and ηNNNN few-body stochastic variational method calculations for two semi-realistic NN potentials and two energy dependent ηN potentials derived from coupled-channel models of the N(1535) nucleon resonance. The energy dependence of the ηN subthreshold input is treated self consistently. It is found that a minimal value of the real part of the ηN scattering length aηN close to 1 fm is required to bind η mesons in 3He, yielding then a few MeV η binding in 4He. The onset of η-meson binding in 4He requires that ReaηN exceeds 0.7 fm approximately. These results compare well with results of recent ηNNN and ηNNNN pionless effective field theory calculations. Related optical-model calculations are also discussed.

Original languageAmerican English
Pages (from-to)35-47
Number of pages13
JournalNuclear Physics A
StatePublished - Dec 2017

Bibliographical note

Publisher Copyright:
© 2017 Elsevier B.V.


  • Few-body systems
  • Mesic nuclei


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