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Universal geometry of two-neutron halos and Borromean Efimov states close to dissociation
by Pascal Naidon
Submission summary
| Authors (as registered SciPost users): | Pascal Naidon |
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| Preprint Link: | https://arxiv.org/abs/2302.08716v2 (pdf) |
| Date accepted: | Aug. 21, 2023 |
| Date submitted: | July 11, 2023, 10:28 a.m. |
| Submitted by: | Pascal Naidon |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
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)
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