Low-Energy Universality in Atomic and Nuclear Physics

Abstract

An effective field theory developed for systems interacting through short-range interactions can be applied to systems of cold atoms with a large scattering length and to nucleons at low energies. It is therefore the ideal tool to analyze the universal properties associated with the Efimov effect in three- and four-body systems. In this "progress report", we will discuss recent results obtained within this framework and report on progress regarding the inclusion of higher order corrections associated with the finite range of the underlying interaction.

Commissioned article for Few-Body Systems, 47 pp, 16 figs

References in corpus (29)

• Collisional stability of a three-component degenerate Fermi gas
• Three-body recombination in a three-state Fermi gas with widely tunable interactions
• Observation of an Efimov-like resonance in ultracold atom-dimer scattering
• Evidence for Universal Four-Body States Tied to an Efimov Trimer
• Universal Properties of the Four-Body System with Large Scattering Length
• Efimov Physics in Cold Atoms
• Four-nucleon scattering: Ab initio calculations in momentum space
• alpha-alpha Scattering in Halo Effective Field Theory
• No-core shell model in an effective-field-theory framework
• Universal properties and structure of halo nuclei
• An effective-field-theory analysis of low-energy parity-violation in nucleon-nucleon scattering
• Range Corrections to Three-Body Observables near a Feshbach Resonance
• 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
• Effective field theory calculation of nd radiative capture at thermal energies
• The Three-Nucleon System at Next-To-Next-To-Leading Order
• Three-body loss in lithium from functional renormalization
• Neutron${-}^{19}$C scattering near an Efimov state
• Scattering length of the helium atom - helium dimer collision
• Pion-mass dependence of three-nucleon observables
• Resonant Dimer Relaxation in Cold Atoms with a Large Scattering Length
• Effective Range Corrections to Three-Body Recombination for Atoms with Large Scattering Length
• Collisional and molecular spectroscopy in an ultracold Bose-Bose mixture
• Resonant Atom-Dimer Relaxation in Ultracold Atoms
• $pp\to pp{\pi }^0$ near threshold in pionless effective theory
• Further comments on nuclear forces in the chiral limit
• Pion-less Effective Field Theory on Low-Energy Deuteron Electro-Disintegration
• Four-body legacy of the Efimov effect
• Universal Four-Boson States in Ultracold Molecular Gases: Resonant Effects in Dimer-Dimer Collisions

Cited by in corpus (39)

• Three-body forces: From cold atoms to nuclei
• Using effective field theory to analyse low-energy Compton scattering data from protons and light nuclei
• Efimov States in Nuclear and Particle Physics
• Three-body problem in heteronuclear mixtures with resonant interspecies interaction
• Coherent Interaction of a Single Fermion with a Small Bosonic Field
• Three particles in a finite volume: The breakdown of spherical symmetry
• On the modification of the Efimov spectrum in a finite cubic box
• Efimov Physics around the neutron rich Calcium-60 isotope
• Spectra and Scattering of Light Lattice Nuclei from Effective Field Theory
• The Theory of Parity Violation in Few-Nucleon Systems
• Two parity violating asymmetries from $np\to d\gamma$ in pionless effective field theories
• Benchmark calculations for elastic fermion-dimer scattering
• Efimov Physics and Connections to Nuclear Physics
• Parity-violating neutron spin rotation in hydrogen and deuterium
• Range corrections for two-neutron halo nuclei in effective theory
• Large-N(c) limit reduces the number of independent few-body parity-violating low-energy constants in pionless effective field theory
• Charge form factors of two-neutron halo nuclei in halo EFT
• On Parity-Violating Three-Nucleon Interactions and the Predictive Power of Few-Nucleon EFT at Very Low Energies
• Efimov Physics in 6Li Atoms
• Three-body recombination in physical chemistry
• Efimov physics from a renormalization group perspective
• Beyond universality in three-body recombination: an Effective Field Theory treatment
• Tritium $\beta$-decay in pionless effective field theory
• A Consistency Test of EFT Power Countings from Residual Cutoff Dependence
• Energy dependence of the parity-violating asymmetry of circularly polarized photons in $d\vec{\gamma }\to np$ in pionless effective field theory
• Large-$N_c$ Relationships Among Two-Derivative Pionless Effective Field Theory Couplings
• An effective-field-theory analysis of Efimov physics in heteronuclear mixtures of ultracold atomic gases
• Three-body systems in physics of cold atoms and halo nuclei
• Efimov Physics in Atom-Dimer Scattering of Lithium-6 Atoms
• Tetramer Bound States in Heteronuclear Systems
• Large-$N_c$ analysis of magnetic and axial two-nucleon currents in pionless effective field theory
• Exact solution of the three-boson problem at vanishing energy
• Polaronic Proton and Diproton Clustering in Neutron-Rich Matter
• Large-$N_c$ constraints for elastic dark matter-light nucleus scattering in pionless effective field theory
• Forward doubly-virtual Compton scattering off an unpolarised deuteron in pionless effective field theory
• Van der Waals forces and Photon-less Effective Field Theories
• Large-$N_c$ and renormalization group constraints on parity-violating low-energy coefficients for three-derivative operators in pionless effective field theory
• Is chiral symmetry manifested in nuclear structure?
• Ultracold Scattering and Universal Correlations