Low-energy neutron scattering on light nuclei and $^{19}$B as a $^{17}$B-$n$-$n$ three-body system in the unitary limit
Jaume Carbonell, Emiko Hiyama, Rimantas Lazauskas, F. Miguel Marqués
SciPost Phys. Proc. 3, 008 (2020) · published 24 February 2020
- doi: 10.21468/SciPostPhysProc.3.008
- Submissions/Reports
Proceedings event
24th European Few Body Conference
Abstract
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.
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Jaume Carbonell,
- 2 3 Emiko Hiyama,
- 4 Rimantas Lazauskas,
- 5 Francisco Miguel Marqués
- 1 Université Paris-Saclay / University of Paris-Saclay
- 2 理化学研究所 / RIKEN [RIKEN]
- 3 九州大学 / Kyushu University
- 4 Institut National de Physique Nucléaire et de Physique des Particules [IN2P3]
- 5 Université de Caen Basse-Normandie
- Grand Équipement National De Calcul Intensif (through Organization: Grand Equipement National de Calcul Intensif [GENCI])
- 日本学術振興会 / Japan Society for the Promotion of Science [JSPS]