Efimov physics from a renormalization group perspective

Abstract

We discuss the physics of the Efimov effect from a renormalization group viewpoint using the concept of limit cycles. Furthermore, we discuss recent experiments providing evidence for the Efimov effect in ultracold gases and its relevance for nuclear systems.

22 pages, 4 figures (invited review submitted to Phil. Trans. Roy. Soc. A)

References in corpus (73)

• Feshbach Resonances in Ultracold Gases
• Modern Theory of Nuclear Forces
• Universality in Few-body Systems with Large Scattering Length
• Evidence for Efimov quantum states in an ultracold gas of cesium atoms
• Effective Field Theory for Few-Nucleon Systems
• Two-Nucleon Systems from Effective Field Theory
• Renormalization of the Three-Body System with Short-Range Interactions
• Effective Field Theory for Short-Range Forces
• Observation of an Efimov spectrum in an atomic system
• Collisional stability of a three-component degenerate Fermi gas
• Universality in Three- and Four-Body Bound States of Ultracold Atoms
• Conformality Lost
• Precise determination of ${}^6$Li cold collision parameters by radio-frequency spectroscopy on weakly bound molecules
• Effective Theory of the Triton
• Three-body recombination in a three-state Fermi gas with widely tunable interactions
• Effective Field Theory for Halo Nuclei: Shallow p-Wave States
• Observation of universality in ultracold 7Li three-body recombination
• 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
• Observation of heteronuclear atomic Efimov resonances
• The Four-Boson System with Short-Range Interactions
• Evidence for Ground- and Excited-State Efimov Trimers in a Three-State Fermi Gas
• A renormalisation-group treatment of two-body scattering
• Narrow Resonances in Effective Field Theory
• Radio Frequency Association of Efimov Trimers
• Nuclear-spin-independent short-range three-body physics in ultracold atoms
• On the correlation between the binding energies of the triton and the alpha-particle
• Efimov States in Halo Nuclei
• Efimov States in Nuclear and Particle Physics
• Non-universal Efimov Atom-Dimer Resonances in a Three-Component Mixture of 6Li
• No-core shell model in an effective-field-theory framework
• An Infrared Renormalization Group Limit Cycle in QCD
• Atom-Dimer Scattering in a Three-Component Fermi Gas
• Weakly Bound Cluster States of Efimov Character
• Universal aspects of Efimov states and light halo nuclei
• Three-body problem in heteronuclear mixtures with resonant interspecies interaction
• Effective Theory for Trapped Few-Fermion Systems
• Universal properties and structure of halo nuclei
• The triton in a finite volume
• Efimov physics in bosonic atom-trimer scattering
• Low-Energy Universality in Atomic and Nuclear Physics
• Enhanced Dimer Relaxation in an Atomic/Molecular BEC
• Energetics and structural properties of three-dimensional bosonic clusters near threshold
• Radii in weakly-bound light halo nuclei
• Precise numerical results for limit cycles in the quantum three-body problem
• Universal Correlations in Pion-less EFT with the Resonating Group Model: Three and Four Nucleons
• $Nd\to {}^{3}H\gamma$ with Effective Field Theory
• Three-body Recombination of Lithium-6 Atoms with Large Negative Scattering Lengths
• An effective field theory approach to two trapped particles
• Efimov states and their Fano resonances in a neutron-rich nucleus
• Nonrelativistic inverse square potential, scale anomaly, and complex extension
• Effective theories of scattering with an attractive inverse-square potential and the three-body problem
• Effective field theory calculation of nd radiative capture at thermal energies
• Three and Four Harmonically Trapped Particles in an Effective Field Theory Framework
• On the limit cycle for the 1/r^2 potential in momentum space
• Renormalization group study of the four-body problem
• Range corrections for two-neutron halo nuclei in effective theory
• The Efimov effect in lithium 6
• A possible Efimov trimer state in a 3-component lithium-6 mixture
• Anomalous Commutator Algebra for Conformal Quantum Mechanics
• Universality in the triton charge form factor
• Trajectory of neutron$-$neutron${-}^{18}C$ excited three-body state
• Three-body loss in lithium from functional renormalization
• Neutron-Deuteron System and Photon Polarization Parameter at Thermal Neutron Energies
• Neutron${-}^{19}$C scattering near an Efimov state
• More on the infrared renormalization group limit cycle in QCD
• Pion-mass dependence of three-nucleon observables
• Universal few-body physics in a harmonic trap
• Resonant Atom-Dimer Relaxation in Ultracold Atoms
• Efimov Physics in Atom-Dimer Scattering of Lithium-6 Atoms
• Application of EFT at Thermal Energies
• Universal Correlations in Pion-less EFT with the Resonating Group Model: Three, Four, and Six Nucleons

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• Nuclear effective field theory: status and perspectives
• New applications of renormalization group methods in nuclear physics
• Effective field theory for proton halo nuclei
• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• Effective Field Theory of Black Hole Echoes
• Point-Particle Effective Field Theory I: Classical Renormalization and the Inverse-Square Potential
• Point-Particle Effective Field Theory II: Relativistic Effects and Coulomb/Inverse-Square Competition
• Atomic collapse in graphene and cyclic RG flow
• New applications of the renormalization group method in physics -- a brief introduction
• Three-body systems in physics of cold atoms and halo nuclei
• Contact operators in renormalization of attractive singular potentials
• Discrete scale invariance in holography revisited
• Fall to the Centre in Atom Traps and Point-Particle EFT for Absorptive Systems
• Universal behaviour of four-boson systems from a functional renormalisation group
• RG limit cycles
• Four-boson bound states from a functional renormalisation group
• Three-Boson Bound States in Two Dimensions
• Wilsonian renormalization group analysis of nonrelativistic three-body systems without introducing dimerons
• Renormalisation group flow of the Jaynes-Cummings model