Efimov states and their Fano resonances in a neutron-rich nucleus

Abstract

Asymmetric resonances in elastic n+${}^{19}$C scattering are attributed to Efimov states of such neutron-rich nuclei, that is, three-body bound states of the n+n+${}^{18}$C system when none of the pairs is bound or some of them only weakly bound. By fitting to the general resonance shape described by Fano, we extract resonance position, width, and the "Fano profile index". While Efimov states have been discussed extensively in many areas of physics, there is only one very recent experimental observation in trimers of cesium atoms. The conjunction that we present of the Efimov and Fano phenomena may lead to experimental realization in nuclei.

arXiv comment4 double-column pages, 3 figures

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• Efimov States in Nuclear and Particle Physics
• Universal properties and structure of halo nuclei
• Constraints on two-neutron separation energy in the Borromean ${}^{22}$C nucleus
• Expanding Nuclear Physics Horizons with the Gamma Factory
• Carbon-19 in Halo EFT: Effective-range parameters from Coulomb-dissociation experiments
• Universal nature and finite-range corrections in elastic atom-dimer scattering below the dimer breakup threshold
• Crossover in the Efimov spectrum
• Trajectory of neutron$-$neutron${-}^{18}C$ excited three-body state
• Neutron${-}^{19}$C scattering near an Efimov state
• Efimov physics from a renormalization group perspective
• Observation of the near-threshold intruder $0^{-}$ resonance in ${}^{12}$Be
• On the ubiquity of Beutler-Fano profiles: from scattering to dissipative processes
• Comment on "Efimov States and their Fano Resonances in a Neutron-Rich Nucleus"
• Weak value amplification using asymmetric spectral response of Fano resonance as a natural pointer
• Bound states of dipolar molecules studied with the Berggren expansion method
• Neutron${-}^{19}$C scattering: emergence of universal properties in a finite range potential
• An elementary exposition of the Efimov Effect
• Stable Heteronuclear Few-Atom Bound States in Mixed Dimensions
• Laser-assisted Fano resonance: attosecond quantum control and dynamical imaging
• Trajectory of virtual, bound and resonant Efimov states
• Controlling Fano resonance using the Geometrical Phase of light in spatially tailored waveguided plasmonic crystals
• Neutron-${}^{19}\mathrm{C}$ scattering: Towards including realistic interactions