Universal aspects of Efimov states and light halo nuclei

Abstract

The parametric region in the plane defined by the ratios of the energies of the subsystems and the three body ground state, in which Efimov states can exist, is determined. We use a renormalizable model that guarantees the general validity of our results in the context of short range interactions. The experimental data for one and two-neutron separation energies, implies that among the halo-nuclei candidates, only C-20 has a possible Efimov state, with energy less than 14 KeV below the scattering threshold.

6 pages, RevTeX, epsf

Cited by in corpus (50)

• Modern Theory of Nuclear Forces
• Universality in Few-body Systems with Large Scattering Length
• Nuclear effective field theory: status and perspectives
• Efimov Physics: a review
• Universal few-body physics and cluster formation
• Effective Field Theory for Halo Nuclei: Shallow p-Wave States
• Effective field theory description of halo nuclei
• Atomic Bose-Einstein Condensation with Three-Body Interactions and Collective Excitations
• Comparing and contrasting nuclei and cold atomic gases
• Efimov States in Nuclear and Particle Physics
• Universal properties and structure of halo nuclei
• Universality and scaling limit of weakly-bound tetramers
• Four-boson scale near a Feshbach resonance
• Constraints on two-neutron separation energy in the Borromean ${}^{22}$C nucleus
• Radii in weakly-bound light halo nuclei
• Description of ${}^4$He tetramer bound and scattering states
• Scaling limit of virtual states of triatomic systems
• Liquid-Gas phase transition in Bose-Einstein Condensates with time evolution
• Triatomic continuum resonances for large negative scattering lengths
• Regularization of a three-body problem with zero-range potentials
• Range corrections for two-neutron halo nuclei in effective theory
• Universality of Brunnian ($N$-body Borromean) four and five-body systems
• Charge form factors of two-neutron halo nuclei in halo EFT
• 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
• Regularized zero-range model and an application to the triton and the hypertriton
• Nucleon-nucleon scattering within a multiple subtractive renormalization approach
• Single-Particle Momentum Distributions of Efimov States in Mixed-Species Systems
• Scaling predictions for radii of weakly bound triatomic molecules
• Neutron-neutron correlation in the halo dissociation of light exotic nuclei
• Classification of three-body quantum halos
• Comment on "Efimov States and their Fano Resonances in a Neutron-Rich Nucleus"
• Three-body forces and Efimov physics in nuclei and atoms
• Virtual states of light non-Borromean halo nuclei
• Weakly bound atomic trimers in ultracold traps
• Neutron${-}^{19}$C scattering: emergence of universal properties in a finite range potential
• Core momentum distribution in two-neutron halo nuclei
• Three-body systems in physics of cold atoms and halo nuclei
• Scaling of the ${}^{19}$B two-neutron halo properties close to unitarity
• Cold atom-dimer reaction rates with ${}^4$He, ${}^{6,7}$Li and ${}^{23}$Na
• Trajectory of virtual, bound and resonant Efimov states
• Universal geometry of two-neutron halos and Borromean Efimov states close to dissociation
• Scattering of cold ${}^4$He on ${}^4$He${-}^{6,7}$Li and ${}^4$He${-}^{23}$Na molecules
• Quantum Monte Carlo studies of a trimer scaling function with microscopic two- and three-body interactions
• Cold atoms beyond atomic physics
• The role of the effective range in strongly-interacting few-body systems
• Fixed-Point Few-Body Hamiltonians in Quantum Mechanics
• Scaling functions of two-neutron separation energies of ${}^{20}C$ with finite range potentials
• Neural-network solution of subtracted three-body Faddeev integral equations near the Efimov limit