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Universal geometry of two-neutron halos and Borromean Efimov states close to dissociation

by Pascal Naidon

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Submission summary

Authors (as registered SciPost users): Pascal Naidon
Submission information
Preprint Link:  (pdf)
Date accepted: 2023-08-21
Date submitted: 2023-07-11 10:28
Submitted by: Naidon, Pascal
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Atomic, Molecular and Optical Physics - Theory
  • Nuclear Physics - Theory
Approach: Theoretical


The geometry of Borromean three-body halos, such as two-neutron halo nuclei or triatomic molecules close to dissociation, is investigated using a three-body model. This model enables to analytically derive the universal geometric properties found recently within an effective-field theory for halos made of a core and two resonantly-interacting particles [Phys. Rev. Lett., 128, 212501 (2022)]. It is shown that these properties not only apply to the ground three-body state, but also to all the excited (Efimov) states where the core-particle interaction is resonant. Furthermore, a universal geometry persists away from the resonant regime between the two particles, for any state close to the three-body threshold. This "halo universality" is different from the Efimov universality which is only approximate for the ground state. It is explained by the separability of the hyper-radius and hyper-angles close to the three-body dissociation threshold.

Published as SciPost Phys. 15, 123 (2023)

Reports on this Submission

Anonymous Report 2 on 2023-7-21 (Invited Report)


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  • validity: high
  • significance: high
  • originality: high
  • clarity: high
  • formatting: excellent
  • grammar: excellent

Anonymous Report 1 on 2023-7-19 (Invited Report)


All comments from the first report have been addressed in a satisfactory fashion. I recommend the paper for publication in SciPost Physics.

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
  • formatting: -
  • grammar: -

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