Short-distance production of three particles with large scattering length

Abstract

The short-distance production of multi-particle states in high-energy nuclear reactions provides a unique way to study the low-energy properties of few-body systems. In particular, the production amplitude of multineutron systems is strongly constrained by an approximate conformal symmetry of the underlying theory. We calculate the full amplitude for the short-distance production of three particles with large scattering length in leading order pionless EFT, focusing on the cases of three neutrons and three spinless bosons. We investigate the signature of low-energy resonances and other correlations in the relative energy distributions. For the case of neutrons, we compare to the predictions from approximate conformal symmetry close to the unitary limit and calculate the range corrections up to next-to-next-to leading order.

RevTeX 4.2, 13 pages, 11 figures,

References in corpus (15)

• Nonrelativistic conformal field theories
• Ab-initio no-core Gamow shell model calculations of multi-neutron systems
• Extracting the neutron-neutron scattering length -- recent developments
• The quest for light multineutron systems
• Low energy structures in nuclear reactions with 4n in the final state
• Unnuclear physics
• A Comprehensive Study of the Three- and Four-Neutron Systems at Low Energies
• Three-body resonances in pionless effective field theory
• Interpretation of neutral charm mesons near threshold as unparticles
• Energies and widths of Efimov states in the three-boson continuum
• Point Production of a Nonrelativistic Unparticle Recoiling Against a Particle
• Applied nonrelativistic conformal field theory: scattering-length and effective-range corrections to unnuclear physics
• Measurement of the ${}^1{S}_0$ neutron-neutron effective range in neutron-deuteron breakup
• Searching for the Tetraneutron Resonance on the Lattice
• Observability of modified threshold behavior near unitarity