Scaling of the ${}^{19}$B two-neutron halo properties close to unitarity

Abstract

We explore the description of the bound ${}^{19}$B isotope in terms of a ${}^{17}$B+n+n three-body system where the two-body subsystems ${}^{17}$B+n and neutron-neutron (nn) have virtual states close to the continuum. Dimensionless scaling functions for the root-mean-square (rms) radii are defined and studied for different parameters of the neutron-core potential and considering three different models for neutron-neutron interaction. The scaling functions for the radii are rooted on the universal behavior of three-body systems close to the Efimov limit and depend only on dimensionless quantities formed by the two-neutron separation energies and scattering lengths. Our results show in practice the model independence of these scaling functions close to unitarity. We provide an estimation of the different rms relative separation distances between the constituents, as well as of the proton and matter radii.

9 pages, 7 figures

References in corpus (11)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• First Penning-trap mass measurement in the millisecond half-life range: the exotic halo nucleus 11Li
• Direct mass measurements of 19B, 22C, 29F, 31Ne, 34Na and other light exotic nuclei
• Comparing and contrasting nuclei and cold atomic gases
• Halos and related structures
• Universal properties and structure of halo nuclei
• Can realistic nuclear interactions tolerate a resonant tetraneutron ?
• Three-neutron resonance trajectories for realistic interaction models
• Single-Particle Momentum Distribution of an Efimov trimer
• Three-body structure of ${}^{19}$B: Finite-range effects in two-neutron halo nuclei
• Quantum Monte Carlo studies of a trimer scaling function with microscopic two- and three-body interactions

Cited by in corpus (4)

• Short-range correlations and momentum distributions in mirror nuclei 3H and 3He
• Universality of isolated $N$-body resonances at large scattering length
• Comparison of Pauli projection and supersymetric transformation methods for three-body nuclear structure and reactions
• Gaussian characterization of two-neutron halo nuclei