Scaling limit analysis of Borromean halos

Abstract

The analysis of the core recoil momentum distribution of neutron-rich isotopes of light exotic nuclei is performed within a model of the halo nuclei described by a core and two neutrons dominated by the $s-$wave channel. We adopt the renormalized three-body model with a zero-range force, that accounts for the universal Efimov physics. This model is applicable to nuclei with large two-neutron halos compared to the core size, and a neutron-core scattering length larger than the interaction range. The halo wave function in momentum space is obtained by using as inputs the two-neutron separation energy and the energies of the singlet neutron-neutron and neutron-core virtual states. Within our model, we obtain the momentum probability densities for the Borromean exotic nuclei Lithium-11 (${}^{11}$Li), Berylium-14 (${}^{14}$Be) and Carbon-22 (${}^{22}$C). A fair reproduction of the experimental data was obtained in the case of the core recoil momentum distribution of ${}^{11}$Li and ${}^{14}$Be, without free parameters. By extending the model to ${}^{22}$C, the combined analysis of the core momentum distribution and matter radius suggest (i) a ${}^{21}$C virtual state well below 1 MeV; (ii) an overestimation of the extracted matter ${}^{22}$C radius; and (iii) a two-neutron separation energy between 100 and 400 keV.

References in corpus (16)

• 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
• One- and two-neutron removal reactions from the most neutron-rich carbon isotopes
• Halos and related structures
• Implications of a matter-radius measurement for the structure of Carbon-22
• Constraints on two-neutron separation energy in the Borromean ${}^{22}$C nucleus
• Radii in weakly-bound light halo nuclei
• Energy spectra of small bosonic clusters having a large two-body scattering length
• Scaling limit of virtual states of triatomic systems
• Search for ${}^{21}$C and constraints on ${}^{22}$C
• $N$-boson spectrum from a Discrete Scale Invariance
• Universal nature and finite-range corrections in elastic atom-dimer scattering below the dimer breakup threshold
• Universal Relations for Range Corrections to Efimov Features
• Single-Particle Momentum Distributions of Efimov States in Mixed-Species Systems
• Effective range from tetramer dissociation data for cesium atoms