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 ${\rho }^{-3}$ 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 $E\to 0$ that could account for the low-energy signal observed in the 2016 experiment by Kisamori et al. (Phys. Rev. Lett. 116, 052501 (2016)).

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Cited by in corpus (14)

• Two-proton emission and related phenomena
• Low energy structures in nuclear reactions with 4n in the final state
• Three-body resonances in pionless effective field theory
• Volume extrapolation via eigenvector continuation
• Three and four identical fermions near the unitary limit
• $P$-wave Efimov physics implications at unitarity
• Efimov physics implications at $p$-wave fermionic unitarity
• Perspectives on few-body cluster structures in exotic nuclei
• Searching for the Tetraneutron Resonance on the Lattice
• Resonances and collisional properties of neutron-rich helium isotopes in the adiabatic hyperspherical representation
• Observability of modified threshold behavior near unitarity
• Deformed Explicitly Correlated Gaussians
• Short-distance production of three particles with large scattering length
• Calculation of tetraneutron-induced reaction cross sections with optical and Hauser-Feshbach statistical models