A Comprehensive Study of the Three- and Four-Neutron Systems at Low Energies
Abstract
This work presents further analysis of the three- and four-neutron systems in the low energy regime using adiabatic hyperspherical methods. In our previous Phys. Rev. Lett. article (Phys. Rev. Lett. 125, 052501 (2020)), the low-energy behavior of these neutron systems was treated in the adiabatic approximation, neglecting the off-diagonal non-adiabatic couplings. A thorough analysis of the density of states through a multi-channel treatment of the three-and four-neutron scattering near the scattering continuum threshold is performed, showing no evidence of a 4n resonance at low energy. A detailed analysis of the long-range behavior of the lowest few adiabatic hyperspherical potentials shows there is an attractive universal behavior which dominates in the low-energy regime of the multi-channel scattering. This long-range behavior leads to a divergent behavior of the density of state for that could account for the low-energy signal observed in the 2016 experiment by Kisamori et al. (Phys. Rev. Lett. 116, 052501 (2016)).
Keywords
Cite
@article{arxiv.2011.11687,
title = {A Comprehensive Study of the Three- and Four-Neutron Systems at Low Energies},
author = {Michael D. Higgins and Chris H. Greene and Alejandro Kievsky and Michele Viviani},
journal= {arXiv preprint arXiv:2011.11687},
year = {2021}
}