Three-body systems in physics of cold atoms and halo nuclei

Abstract

Few-body systems, such as cold atoms and halo nuclei, share universal features at low energies, which are insensitive to the underlying inter-particle interactions at short ranges. These low-energy properties can be investigated in the framework of effective field theory with two-body and three-body contact interactions. I review the effective-field-theory studies of universal physics in three-body systems, focusing on the application in cold atoms and halo nuclei.

Review article commissioned for the International Journal of Modern Physics E special issue on "Effective Field Theory in Nuclear Physics"; 26 pages

References in corpus (31)

• Observation of an Efimov spectrum in an atomic system
• Collisional stability of a three-component degenerate Fermi gas
• Three-body recombination in a three-state Fermi gas with widely tunable interactions
• Observation of universality in ultracold 7Li three-body recombination
• Observation of an Efimov-like resonance in ultracold atom-dimer scattering
• Observation of the Efimov state of the helium trimer
• Observation of heteronuclear atomic Efimov resonances
• Observation of Efimov Resonances in a Mixture with Extreme Mass Imbalance
• Measurement of two-halo neutron transfer reaction p(${}^{11}$Li,${}^9$Li)t at 3$A$ MeV
• Universal Relations for Identical Bosons from 3-Body Physics
• Analytical solution of the bosonic three-body problem
• alpha-alpha Scattering in Halo Effective Field Theory
• ${}^{22}$C: $S$-Wave Two-Neutron Halo
• Universal properties and structure of halo nuclei
• ${}^6$He nucleus in halo effective field theory
• Radiative Neutron Capture on Lithium-7
• Range Corrections to Three-Body Observables near a Feshbach Resonance
• Halo effective field theory constrains the solar Beryllium-7 + proton -> Boron-8 + photon rate
• Three-Body Recombination of Identical Bosons with a Large Positive Scattering Length at Nonzero Temperature
• The Three-Boson System at Next-To-Next-To-Leading Order
• Three-body recombination in heteronuclear mixtures at finite temperature
• Constraining Low-Energy Proton Capture on Beryllium-7 through Charge Radius Measurements
• Resonant atom-dimer collisions in cesium: Testing universality at positive scattering lengths
• Universality of weakly bound dimers and Efimov trimers close to Li-Cs Feshbach resonances
• Efimov physics from a renormalization group perspective
• Universal Relations for Range Corrections to Efimov Features
• Resonant Dimer Relaxation in Cold Atoms with a Large Scattering Length
• Efimov physics and the three-body parameter for shallow van der Waals potentials
• Onset of the Limit Cycle and Universal Three-Body Parameter in Efimov Physics
• Coulomb interactions within Halo Effective Field Theory
• Exploring universality in nuclear clusters with Halo EFT

Cited by in corpus (6)

• Effective field theory description of halo nuclei
• Shrunk halo and quenched shell gap at $N=16$ in ${}^{22}$C: Inversion of $sd$ states and deformation effects
• Study of ground state properties of carbon isotopes with deformed relativistic Hartree-Bogoliubov theory in continuum
• An effective-field-theory analysis of Efimov physics in heteronuclear mixtures of ultracold atomic gases
• Three-body universality in ultracold $p$-wave resonant mixtures
• Les Houches Lectures on Effective Field Theories for Nuclear and (some) Atomic Physics