Non-resonant Density of States Enhancement at Low Energies for Three or Four Neutrons

Abstract

The low energy systems of three or four neutrons are treated within the adiabatic hyperspherical framework, yielding an understanding of the low energy quantum states in terms of an adiabatic potential energy curve. The dominant low energy potential curve for each system, computed here using widely accepted nucleon-nucleon interactions with and without the inclusion of a three-nucleon force, shows no sign of a low energy resonance. However, both systems exhibit a low energy enhancement of the density of states, or of the Wigner-Smith time-delay, which derives from long-range universal physics analogous to the Efimov effect. That enhancement could be relevant to understanding the low energy excess of correlated 4-neutron ejection events observed experimentally in a nuclear reaction by Kisamori et al.

References in corpus (9)

• A high-precision variational approach to three- and four-nucleon bound and zero-energy scattering states
• Universal properties of a trapped two-component Fermi gas at unitarity
• Diatomic molecules in ultracold Fermi gases - Novel composite bosons
• Prediction for a four-neutron resonance
• Ab-initio no-core Gamow shell model calculations of multi-neutron systems
• Dressed ion-pair states of an ultralong-range Rydberg molecule
• Trapped unitary two-component Fermi gases with up to ten particles
• Breakup of three particles within the adiabatic expansion method
• Tetraneutron resonance in the presence of a dineutron

Cited by in corpus (23)

• Recent Progress in Two-proton Radioactivity
• Two-proton emission and related phenomena
• Efimov Physics and Connections to Nuclear Physics
• The quest for light multineutron systems
• Low energy structures in nuclear reactions with 4n in the final state
• A Comprehensive Study of the Three- and Four-Neutron Systems at Low Energies
• Three-body resonances in pionless effective field theory
• Three and four identical fermions near the unitary limit
• Towards scalable bound-to-resonance extrapolations for few- and many-body systems
• $P$-wave Efimov physics implications at unitarity
• Efimov physics implications at $p$-wave fermionic unitarity
• Perspectives on few-body cluster structures in exotic nuclei
• Universal trimers with p-wave interactions and the faux-Efimov effect
• A Vision for the Science of Rare Isotopes
• Searching for the Tetraneutron Resonance on the Lattice
• The extremes of neutron richness
• Generalized Wigner-Smith theory for perturbations at exceptional and diabolic point degeneracies
• Resonances and collisional properties of neutron-rich helium isotopes in the adiabatic hyperspherical representation
• Direct observation of three-neutron emission from ${}^7$He${}^{\ast }$ and the search for the trineutron
• Observability of modified threshold behavior near unitarity
• Method to search for the triple-neutron state in an electron scattering experiment
• Physics of many-body resonances with complex scaling and applications to light unstable nuclei
• Calculation of tetraneutron-induced reaction cross sections with optical and Hauser-Feshbach statistical models