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

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.

7 pages + appendix, 7 figures

References in corpus (7)

• First Penning-trap mass measurement in the millisecond half-life range: the exotic halo nucleus 11Li
• Efimov Physics in Cold Atoms
• Collisional stability of fermionic Feshbach molecules
• Universal properties and structure of halo nuclei
• Geometry of Borromean Halo Nuclei
• Dipole excitation and geometry of borromean nuclei
• Three-body coupled channel framework for two-neutron halo nuclei

Cited by in corpus (3)

• Three-body forces and Efimov physics in nuclei and atoms
• General features and contact modeling of $N$-body isolated resonances near threshold
• Effective field theory for weakly bound two-neutron halo nuclei: corrections from neutron-neutron effective range