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Scaling of the 19B two-neutron halo properties close to unitarity

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Author(s):
Hiyama, Emiko ; Lazauskas, Rimantas ; Carbonell, Jaume ; Frederico, Tobias
Total Authors: 4
Document type: Journal article
Source: PHYSICAL REVIEW C; v. 106, n. 6, p. 8-pg., 2022-12-01.
Abstract

We explore the description of the bound 19B isotope in terms of a 17B +n + n three-body system where the two-body subsystems 17B +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 in 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. (AU)

FAPESP's process: 19/07767-1 - Nuclear reactions with weakly-bound or cluster-structured radioactive and stable nuclei
Grantee:Leandro Romero Gasques
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 17/05660-0 - Theoretical studies of the structure and reactions of exotic nuclei and many-body systems
Grantee:Brett Vern Carlson
Support Opportunities: Research Projects - Thematic Grants