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Low-energy neutron scattering on light nuclei and $^{19}$B as a $^{17}$B-$n$-$n$ three-body system in the unitary limit

by Jaume Carbonell, Emiko Hiyama, Rimantas Lazauska and F. Miguel Marqués

This Submission thread is now published as SciPost Phys. Proc. 3, 008 (2020)

Submission summary

As Contributors: Jaume Carbonell
Preprint link: scipost_201911_00038v2
Date accepted: 2020-01-28
Date submitted: 2020-01-15 01:00
Submitted by: Carbonell, Jaume
Submitted to: SciPost Physics Proceedings
Proceedings issue: 24th European Few Body Conference (University of Surrey, U.K.)
Academic field: Physics
  • Nuclear Physics - Theory
Approaches: Theoretical, Experimental, Computational, Phenomenological


We consider the evolution of the neutron-nucleus scattering length for the lightest nuclei. We show that, when increasing the number of neutrons in the target nucleus, the strong Pauli repulsion is weakened and the balance with the attractive nucleon-nucleon interaction results into a resonant virtual state in $^{18}$B. We describe $^{19}$B in terms of a $^{17}$B-$n$-$n$ three-body system where the two-body subsystems $^{17}$B-$n$ and $n$-$n$ are unbound (virtual) states close to the unitary limit. The energy of $^{19}$B ground state is well reproduced and two low-lying resonances are predicted. Their eventual link with the Efimov physics is discussed. This model can be extended to describe the recently discovered resonant states in $^{20,21}$B.

Published as SciPost Phys. Proc. 3, 008 (2020)

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