Radii in weakly-bound light halo nuclei

Abstract

A systematic study of the root-mean-square distance between the constituents of weakly-bound nuclei consisting of two halo neutrons and a core is performed using a renormalized zero-range model. The radii are obtained from a universal scaling function that depends on the mass ratio of the neutron and the core, as well as on the nature of the subsystems, bound or virtual. Our calculations are qualitatively consistent with recent data for the neutron-neutron root-mean-square distance in the halo of ${}^{11}$Li and ${}^{14}$Be nuclei.

References in corpus (8)

• Efimov States in Halo Nuclei
• Three-body correlations in Borromean halo nuclei
• Universal aspects of Efimov states and light halo nuclei
• The halo of the exotic nucleus 11Li: a single Cooper pair
• Scaling limit of virtual states of triatomic systems
• Microscopic Calculations of the Spectra of Light Nuclei
• Scaling predictions for radii of weakly bound triatomic molecules
• Classification of three-body quantum halos

Cited by in corpus (30)

• Efimov Physics: a review
• Efimov States in Nuclear and Particle Physics
• Universal properties and structure of halo nuclei
• Implications of a matter-radius measurement for the structure of Carbon-22
• Constraints on two-neutron separation energy in the Borromean ${}^{22}$C nucleus
• The Three-Boson System at Next-To-Next-To-Leading Order
• Recursive renormalization of the singlet one-pion-exchange plus point-like interactions
• Range corrections for two-neutron halo nuclei in effective theory
• Charge form factors of two-neutron halo nuclei in halo EFT
• Nuclear Radii of Unstable Nuclei
• Trajectory of neutron$-$neutron${-}^{18}C$ excited three-body state
• Efimov physics from a renormalization group perspective
• Single-Particle Momentum Distributions of Efimov States in Mixed-Species Systems
• Neutron-neutron correlation in the halo dissociation of light exotic nuclei
• Universality in molecular halo clusters
• Elusive structure of helium trimers
• Neutron${-}^{19}$C scattering: emergence of universal properties in a finite range potential
• Core momentum distribution in two-neutron halo nuclei
• Scaling of the ${}^{19}$B two-neutron halo properties close to unitarity
• Structure of exotic three-body systems
• A doorway to Borromean halo nuclei: the Samba configuration
• Semi-analytic Faddeev solution to the $N$-boson problem with zero-range interactions
• Few Body Reserch - Summary
• Universal geometry of two-neutron halos and Borromean Efimov states close to dissociation
• Microscopic analysis of quasielastic scattering and breakup reactions of neutron-rich nuclei ${}^{12,14}$Be
• Universality in the neutron${-}^{19}$C scattering using finite range separable interactions
• Scaling limit analysis of Borromean halos
• Investigation of ${\Xi }^{-}nn$ ($S=-2$) Hypernucleus in Low-energy Pionless Halo Effective Theory
• One- and two-neutron halos in effective field theory
• Two- and three- dimensional few-body systems in the universal regime