Universality in Few-body Systems with Large Scattering Length

Abstract

Particles with short-range interactions and a large scattering length have universal low-energy properties that do not depend on the details of their structure or their interactions at short distances. In the 2-body sector, the universal properties are familiar and depend only on the scattering length a. In the 3-body sector for identical bosons, the universal properties include the existence of a sequence of shallow 3-body bound states called "Efimov states" and log-periodic dependence of scattering observables on the energy and the scattering length. The spectrum of Efimov states in the limit a -> +/- infinity is characterized by an asymptotic discrete scaling symmetry that is the signature of renormalization group flow to a limit cycle. In this review, we present a thorough treatment of universality for the system of three identical bosons and we summarize the universal information that is currently available for other 3-body systems. Our basic tools are the hyperspherical formalism to provide qualitative insights, Efimov's radial laws for deriving the constraints from unitarity, and effective field theory for quantitative calculations. We also discuss topics on the frontiers of universality, including its extension to systems with four or more particles and the systematic calculation of deviations from universality.

219 pages, 58 figures, accepted for publication in Physics Reports, erroneous footnote on p. 200 removed

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• Cumulant theory of the unitary Bose gas: Prethermal and Efimovian dynamics
• Resonant Dimer Relaxation in Cold Atoms with a Large Scattering Length
• Revealing the origin of super-Efimov states in the hyperspherical formalism
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• Matching universal behavior with potential models
• Resonant three-body physics in two spatial dimensions
• Few-body resonances of unequal-mass systems with infinite interspecies two-body s-wave scattering length
• Zero-Range Effective Field Theory for Resonant Wino Dark Matter III. Annihilation Effects
• Log-periodic quantum magneto-oscillations and discrete scale invariance in topological material HfTe5
• An Estimate of the Partial Width for X(3872) into p p-bar
• Effective Range Corrections to Three-Body Recombination for Atoms with Large Scattering Length
• Stability of a fermionic $N+1$ particle system with point interactions
• Efimov physics and the three-body parameter for shallow van der Waals potentials
• Squeezing the Efimov effect
• Pairing and the spin susceptibility of the polarized unitary Fermi gas in the normal phase
• Clustering of Four-Component Unitary Fermions
• Isotopic shift of atom-dimer Efimov resonances in K-Rb mixtures: Critical effect of multichannel Feshbach physics
• Three-body correlations in a two-dimensional SU(3) Fermi gas
• Feshbach Loss Spectroscopy in an Ultracold ${}^{23}$Na and ${}^{40}$K Mixture
• Universal range corrections to the Efimov trimer for a class of paths to the unitary limit
• Universal Two-Body Spectra of Ultracold Harmonically Trapped Atoms in Two and Three Dimensions
• Similarity Renormalization Group Evolution of Chiral Effective Nucleon-Nucleon Potentials in the Subtracted Kernel Method Approach
• Universality in molecular halo clusters
• Point-Particle Effective Field Theory II: Relativistic Effects and Coulomb/Inverse-Square Competition
• Conformality Lost in Efimov Physics
• Threshold Effects and the Line Shape of the X(3872) in Effective Field Theory
• Compositeness of $T_{cc}$ and $X(3872)$ by considering decay and coupled-channels effects
• Efimov states embedded in the three-body continuum
• Universal few-body physics in a harmonic trap
• Renormalization Group Limit Cycle for Three-Stranded DNA
• Nuclear Effective Field Theories: Reverberations of the early days
• Non-universal bound states of two identical heavy fermions and one light particle
• Eliminating the wave function singularity for ultracold atoms by similarity transformation
• Scattering hypervolume for ultracold bosons from weak to strong interactions
• Quantum unbinding near a zero temperature liquid-gas transition
• Multichannel quantum-defect theory for ion-atom interactions
• Three-body interaction near a narrow two-body zero crossing
• Electron states in the field of charged impurities in two-dimensional Dirac systems
• A supercircle description of universal three-body states in two dimensions
• A Consistency Test of EFT Power Countings from Residual Cutoff Dependence
• When a DNA Triple helix melts: An analog of the Efimov state
• Active Learning Algorithm for Computational Physics
• Galilean-Invariant XEFT at Next-to-Leading Order
• Regularization Methods for Nuclear Lattice Effective Field Theory
• The multichannel nature of three-body recombination for ultracold ${}^{39}$K
• Electro-association of ultracold dipolar molecules into tetramer field-linked states
• Saturation properties of helium drops from a Leading Order description
• Three-body resonances in pionless effective field theory
• Particle-dimer approach for the Roper resonance in a finite volume
• Trion and Dimer Formation of Three-Color Fermions
• Are there narrow flavor-exotic tetraquarks in large-$N_c$ QCD?
• Interplay between coherent and dissipative dynamics of bosonic doublons in an optical lattice
• From few to many bosons inside the unitary window: a transition between universal to non-universal behavior
• Deep inelastic scattering on ultracold gases
• Spectral analysis of the 2+1 fermionic trimer with contact interactions
• Few-body Physics in a Many-body World
• Temperature-dependent errors in nuclear lattice simulations
• Resonant Atom-Dimer Relaxation in Ultracold Atoms
• Filtering Spins by Scattering from a Lattice of Point Magnets
• Spin structure of harmonically trapped one-dimensional atoms with spin-orbit coupling
• Sigature of the universal super Efimov Effect: three-body contact in two dimensional Fermi gases
• Polaronic effects in one- and two-band quantum systems
• Universal Relation for the Inelastic Two-Body Loss Rate
• Beyond mean-field dynamics of ultra-cold bosonic atoms in higher dimensions: facing the challenges with a multi-configurational approach
• Renormalization of the three-boson system with short-range interactions revisited
• Universal physics of bound states of a few charged particles
• Enhanced association and dissociation of heteronuclear Feshbach molecules in a microgravity environment
• An economical method to calculate eigenvalues of the Schroedinger Equation
• Efimov effect for a three-particle system with two identical fermions
• Energy spectrum of a harmonically trapped two-atom system with spin-orbit coupling
• Multichannel effects in the Efimov regime from broad to narrow Feshbach resonances
• ${}_{\Lambda \Lambda }^4$H in halo effective field theory
• Thermal equation of state of polarized fermions in one dimension via complex chemical potentials
• Point-Particle Effective Field Theory III: Relativistic Fermions and the Dirac Equation
• Finite Range Effects in Energies and Recombination Rates of Three Identical Bosons
• Quasiparticles of Decoherence Processes in Open Quantum Many-Body Systems: Incoherentons
• The $S_{E1}$ factor of radiative $\alpha$ capture on ${}^{12}$C in cluster effective field theory
• Crossover dynamics of dispersive shocks in Bose-Einstein condensates characterized by two and three-body interactions
• Recombination rates from potential models close to the unitary limit
• Hyperspherical explicitly correlated Gaussian approach for few-body systems with finite angular momentum
• Effective field theory for dilute Fermi systems at fourth order
• Scattering theory and ground-state energy of Dirac fermions in graphene with two Coulomb impurities
• Energy lower bound for the unitary N+1 fermionic model
• Association of Atoms into Universal Dimers using an Oscillating Magnetic Field
• Lieb-Thirring Inequality for a Model of Particles with Point Interactions
• Bunching, clustering, and the buildup of few-body correlations in a quenched unitary Bose gas
• Comment on "Efimov States and their Fano Resonances in a Neutron-Rich Nucleus"
• Finite-temperature effects on a triatomic Efimov resonance in ultracold cesium
• Early-time dynamics of Bose gases quenched into the strongly interacting regime
• Universal three-body physics at finite energy near Feshbach resonances
• Universality Constraints on Three-Body Recombination for Cold Atoms: from 4He to 133Cs
• Scale anomaly of a Lifshitz scalar: a universal quantum phase transition to discrete scale invariance
• Stability of low-dimensional multicomponent Bose gases
• Conditions for Efimov Physics for Finite Range Potentials
• Stable p-wave resonant two-dimensional Fermi-Bose dimers
• Universal behavior of a trapped Fermi superfluid in the BCS-unitarity crossover
• The interplay between compact and molecular structures in tetraquarks
• An alternative scheme for effective range corrections in pionless EFT
• Scattering of universal fermionic clusters in the resonating group method
• Models of zero-range interaction for the bosonic trimer at unitarity
• Strong spin-exchange recombination of three weakly interacting ${}^7$Li atoms
• Reshaped Three-Body Interactions and the Observation of an Efimov State in the Continuum
• Magnetic-field dependent trap loss of ultracold metastable helium
• Three-body crossover from a Cooper triple to bound trimer state in three-component Fermi gases near a triatomic resonance
• Adiabatic Hyperspherical Representation for the Three-body Problem in Two Dimensions
• Self-adjoint extension schemes and modern applications to quantum Hamiltonians
• Effective field theory and the scattering process for magnons in the ferromagnet, antiferromagnet, and ferrimagnet
• Efimov Trimers in a Harmonic Potential
• Few-body quantum method in a $d$-dimensional space
• Occupation numbers of the harmonically trapped few-boson system
• Universal bound and scattering properties for two dipoles
• The $p\Lambda$ and $pp\Lambda$ correlation functions
• Effective scattering and Efimov physics in the presence of two-body dissipation
• Universality in a one-dimensional three-body system
• Estimates of the $X(3872)$ Cross Section at a Hadron Collider
• Few-body states of bosons interacting with a heavy quantum impurity
• Renormalized contact interaction in degenerate unitary Bose gases
• Rydberg optical Feshbach resonances in cold gases
• Broken scale-invariance in time-dependent trapping potentials
• Pair formation in quenched unitary Bose gases
• Three-body Physics in Strongly Correlated Spinor Condensates
• Universal dimer-dimer scattering in lattice effective field theory
• ${}_{\Lambda \Lambda }^{6}He$ in cluster effective field theory
• Effective interactions and operators in no-core shell model
• Limit cycles of effective theories
• Restoring integrability in one-dimensional quantum gases by two-particle correlations
• Universal physics of three bosons with isospin
• Dynamic Super Efimov Effect
• Interpretation of neutral charm mesons near threshold as unparticles
• Enhanced n-body annihilation of dark matter and its indirect signatures
• Harmonically Trapped Four-Boson System
• Efimov physics and universal trimer in spin-orbit coupled ultracold atomic mixtures
• Visualizing Neural Network Developing Perturbation Theory
• Tan's contact in a cigar-shaped dilute Bose gas
• Three-body recombination at finite energy within an optical model
• More on the universal equation for Efimov states
• Probing the Efimov discrete scaling in atom-molecule collision
• Neutron${-}^{19}$C scattering: emergence of universal properties in a finite range potential
• Non-equilibrium dynamics of dipolar polarons
• A coherent superposition of Feshbach dimers and Efimov trimers
• Production of $X(3872)$ Accompanied by a Soft Pion at Hadron Colliders
• Phases of spin- and mass-imbalanced ultracold Fermi gases in harmonic traps
• Atom-dimer scattering length for fermions with different masses: analytical study of limiting cases
• An elementary exposition of the Efimov Effect
• Efimov Effect in the Dirac Semi-metals
• Dimensional Effects on the Momentum distribution of Bosonic Trimer States
• Three in Many: Efimov physics in the presence of a Fermi sea
• An effective-field-theory analysis of Efimov physics in heteronuclear mixtures of ultracold atomic gases
• Universal bosonic tetramers of dimer-atom-atom structure
• Lattice theory for nonrelativistic fermions in one spatial dimension
• Exact flow equation for bound states
• Effective field theory for shallow P-wave states
• Effective interactions between nuclear clusters
• A general T-matrix approach applied to two-body and three-body problems in cold atomic gases
• Van der Waals universality in homonuclear atom-dimer elastic collisions
• Universal and non-universal effective $N$-body interactions for ultracold harmonically-trapped few-atom systems
• Dynamical Fractal in Quantum Gases with Discrete Scaling Symmetry
• Temperature-dependence of small harmonically trapped atom systems with Bose, Fermi and Boltzmann statistics
• Optically trapped Feshbach molecules of fermionic 161Dy and 40K
• Three-Body $J^P=0^{+},1^{+},2^{+}$ $B^{\ast }{B}^{\ast }\bar{K}$ Bound States
• Correlation properties of a three-body bosonic mixture in a harmonic trap
• Observation of Dynamical Super Efimovian Expansion in a Unitary Fermi Gas
• Multi-fermion systems with contact theories
• Collisions of Ultracold Trapped Cesium Feshbach Molecules
• Efimov states in atom-molecular collisions
• Production of $X(3872)$ and a Photon in $e^{+}{e}^{-}$ Annihilation
• Trapped Bose gases with large positive scattering length
• Few-body physics of ultracold atoms and molecules with long-range interactions
• Efimovian three-body potential from broad to narrow Feshbach resonances
• Scaling of the ${}^{19}$B two-neutron halo properties close to unitarity
• Artificial atoms from cold bosons in one dimension
• Efimov physics from the functional renormalization group
• Interaction energy and itinerant ferromagnetism in a strongly interacting Fermi gas in the absence of molecule formation
• Finite range and upper branch effects on itinerant ferromagnetism in repulsive Fermi gases: Bethe-Goldstone ladder resummation approach
• Emergent inflation of the Efimov spectrum under three-body spin-exchange interactions
• Three-body systems in physics of cold atoms and halo nuclei
• Faraday waves in BEC with engineering three-body interactions
• Weakly bound Li He${}_2$ molecules
• Cluster effective field theory and nuclear reactions
• Three-body bound states in atomic mixtures with resonant p-wave interaction
• Efimov Physics in Atom-Dimer Scattering of Lithium-6 Atoms
• Discrete Scale-Invariant Boson-Fermion Duality in One Dimension
• Fall to the Centre in Atom Traps and Point-Particle EFT for Absorptive Systems
• Tetramer Bound States in Heteronuclear Systems
• D-dimensional three-body bound-state problem with zero range interactions
• Hartree-Fock-Bogoliubov Model and Simulation of Attractive and Repulsive Bose-Einstein Condensates
• Three-body recombination rates near a Feshbach resonance within a two-channel contact interaction model
• Breakdown of universality in few-boson systems
• From Short-Range to Contact Interactions in the 1d Bose Gas
• Few-Body Bound States of Dipole-Dipole Interacting Rydberg Atoms
• The Avalanche Mechanism for Atom Loss near an Atom-Dimer Efimov Resonance
• Three-body rf association of Efimov trimers
• Stable Heteronuclear Few-Atom Bound States in Mixed Dimensions
• Efimov effect of triple-stranded DNA: Real-space renormalization group and Zeros of the partition function
• The influence of a surface in the non-retarded interaction between two atoms
• Efimov Enhanced Kondo Effect in Alkaline and Alkaline-Earth Atomic Gas Mixture
• Fourth- and fifth-order virial expansion of harmonically trapped fermions at unitarity
• A geometrical interpretation of the Thomas theorem and the Efimov States
• Universal three-body bound states in mixed dimensions beyond the Efimov paradigm
• Efimov like phase of a three stranded DNA (Efimov-DNA) and the renormalization group limit cycle
• Momentum distribution in the unitary Bose gas from first principles
• Exact solution of the three-boson problem at vanishing energy
• Compositeness of hadrons, nuclei, and atomic systems
• The self-energy of an impurity in an ideal Fermi gas to second order in the interaction strength
• Efimov effect in non-integer dimensions induced by an external field
• Atom-dimer scattering amplitude for fermionic mixtures with different masses: s-wave and p-wave contributions
• Convergence Properties of the Effective Theory for Trapped Bosons
• The breaking of continuous scale invariance to discrete scale invariance: a universal quantum phase transition
• Variational approach to the two-dimensional Bose polaron
• State-to-state endothermic and nearly thermoneutral reactions in an ultracold atom-dimer mixture
• Ultracold heteronuclear three-body systems: How diabaticity limits the universality of recombination into shallow dimers
• Ultracold atom-dimer long-range interactions beyond the $1/R^n$ expansion
• Photoassociative Spectroscopy of a Halo Molecule in ${}^{86}$Sr
• Engineering momentum profiles of cold-atom beams
• Conference Discussion of the Nuclear Force
• Universality in s-wave and higher partial wave Feshbach resonances: an illustration with a single atom near two scattering centers
• Non-Universal and Universal Aspects of The Large Scattering Length Limit
• Universality of Efimov states in highly mass-imbalanced cold-atom mixtures with van der Waals and dipole interactions
• QCD Exotics
• Scattering Hypervolume of Spin-Polarized Fermions
• Universal relations for spin-orbit coupled Fermi gas near an s-wave resonance
• The van der Waals interaction as the starting point for an effective field theory
• General aspects of effective field theories and few-body applications
• Charge and Matter Form Factors of Two-Neutron Halo Nuclei in Halo Effective Field Theory at Next-to-leading-order
• Three-Body Scattering Hypervolume of Particles with Unequal Masses
• Universality of excited three-body bound states in one dimension
• A combined mean-field and three-body model tested on the ${}^{26}$O-nucleus
• Mean-square radii in mixed-species systems in two dimensions
• Weakly bound molecules trapped with discrete scaling symmetries
• Nonexponential decay of Feshbach molecules
• Electric structure of shallow D-wave states in Halo EFT
• Ground-states of spin-1 bosons in asymmetric double-wells
• Spectral functions of the strongly interacting 3D Fermi gas
• Efficient three-body calculations with a two-body mapped grid method
• Quantum Noise in the Collective Abstraction Reaction A+B ${}_2\to$ AB+B
• Universal behaviour of four-boson systems from a functional renormalisation group
• Hyperspherical-LOCV Approximation to Resonant BEC
• Halo structure of ${}^{17}$C
• Effective-range corrections to the ground-state energy of the weakly-interacting Bose gas in two dimensions
• Efimov resonance position near a narrow Feshbach resonance in ${}^6$Li-${}^{133}$Cs mixture
• Few-body universality in the deuteron-alpha system
• Universal relations for a spin-polarized Fermi gas in two dimensions
• Resonant spectra of multipole-bound anions
• Tunable discrete scale invariance in transition-metal pentatelluride flakes
• Energies and widths of Efimov states in the three-boson continuum
• Topological origin of universal few-body clusters in Efimov physics
• Critical behavior for point monopole and dipole electric impurities in uniformily and uniaxially strained graphene
• Hypernuclei in Halo/Cluster Effective Field Theory
• Triple α Resonances in the Decay of Hot Nuclear Systems *
• Momentum-space probability density of ${}^6$He in Halo Effective Field Theory
• Electric-field induced helium-helium resonances
• Removing the Wigner bound in non-perturbative effective field theory
• RG limit cycles
• Efimov effect at the Kardar-Parisi-Zhang roughening transition
• Electron spin resonance in a dilute magnon gas as a probe of magnon scattering resonances
• Coupled pair approach for strongly-interacting trapped fermionic atoms
• Two- and three-body structure of the Y(4660)
• Nonrelativistic scale anomaly, and composite operators with complex scaling dimensions
• Subleading contributions to $N$-boson systems inside the universal window
• Comparison of renormalized interactions using one-dimensional few-body systems as a testbed
• Trajectory of virtual, bound and resonant Efimov states
• Four-body legacy of the Efimov effect
• Complex scaling in finite volume
• Duality between the quantum inverted harmonic oscillator and inverse square potentials
• Dimer-atom-atom recombination in the universal four-boson system
• Approaching universality in weakly-bound three-body systems
• What hath Weinberg wrought? Reflections on what Weinberg's papers on 'Nuclear Forces from Chiral Lagrangians' did and did not accomplish
• Bubble-bound state of triple-stranded DNA: Efimov Physics in DNA with repulsion
• Some applications of the Faddeev-Yakubovsky equations to the cold-atom physics
• Nuclear clusters with Halo Effective Field Theory
• Combined few-body and mean-field model for nuclei
• Spurious poles in a finite volume
• Forward doubly-virtual Compton scattering off an unpolarised deuteron in pionless effective field theory
• Applied nonrelativistic conformal field theory: scattering-length and effective-range corrections to unnuclear physics
• Point Production of a Nonrelativistic Unparticle Recoiling Against a Particle
• Four-boson bound states from a functional renormalisation group
• Universal Three-Body Parameter of Heavy-Heavy-Light systems with negative intraspecies scattering length
• Bound states of a light atom and two heavy dipoles in two dimensions
• Scattering Hypervolume of Fermions in Two Dimensions
• On the Quantum Reconstruction of the Riemann zeros
• Stability and chaotic behavior of Bose-Einstein condensates in optical lattices with two- and three-body interactions
• Three-body bound states of two bosons and one impurity in one dimension
• Near-threshold bound states of the dipole-dipole interaction
• Atom Loss Resonances in a Bose-Einstein Condensate
• First Principles Prediction of the Landau Parameter for Fermi Liquids near the Unitarity Limit
• The Born series for $S$-wave quartet $nd$ scattering at small cutoff values
• Spin hierarchy in van der Waals molecule formation via ultracold three-body recombination
• Universal behaviour of diatomic halo states and the mass sensitivity of their properties
• Interferometry of Efimov states in thermal gases by modulated magnetic fields
• Efimov physics in the complex plane
• Three-body problem in a multiband Hubbard model
• Few-body physics in effective field theory
• Avalanche Mechanism for the Enhanced Loss of Ultracold Atoms
• Universal geometry of two-neutron halos and Borromean Efimov states close to dissociation
• Self-adjointness in Quantum Mechanics: a pedagogical path
• Universal physics of the few-body system of two neutrons and one flavored meson
• Three-body universality in ultracold $p$-wave resonant mixtures
• Multipole Analysis of Radio-Frequency Reactions in Ultra-Cold Atoms
• Neutron transfer reactions in halo effective field theory
• Temperature dependence of an Efimov resonance in ${}^{39}\mathrm{K}$
• Three-Boson Bound States in Two Dimensions
• Efimov Physics in small bosonic clusters
• Investigation of ${}^{23}$N in a three-body model
• On the landscape of scale invariance in quantum mechanics
• Elastic $\alpha$-${}^{12}$C scattering at low energies with the sharp resonant $0_3^{+}$ state of ${}^{16}$O
• Four-body long-range interactions between ultracold weakly-bound diatomic molecules
• Quench dynamics of mass-imbalanced three-body fermionic systems in a spherical trap
• Loosely Bound Few-Body States in a Spin-1 Gas with Near-Degenerate Continua
• Three-boson spectrum in the presence of 1D spin-orbit coupling: Efimov's generalized radial scaling law
• Efimov spectrum in bosonic systems with increasing number of particles
• A nonperturbative parametrization and scenario for EFT renormalization
• ${}^7$H ground state as a ${}^3$H+4n resonance
• Ground and Low-Lying Collective States of Rotating Three-Boson System
• Long-lived trimers in a quasi-two-dimensional Fermi system
• Correlated Gaussian Approach to Anisotropic Resonantly Interacting Few-Body Systems
• Van der Waals forces and Photon-less Effective Field Theories
• Universal trimers with p-wave interactions and the faux-Efimov effect
• Universal Efimov Scaling in the Rabi-Coupled Few-Body Spectrum
• Fermions meet two bosons -- the heteronuclear Efimov effect revisited
• How machine learning conquers the unitary limit
• Efimov states with strong three-body losses
• Causality and dimensionality in geometric scattering
• Universality in Ultra-Cold Few- and Many-Boson Systems
• Spin critical opalescence in zero temperature Bose-Einstein Condensates
• SQCD, Superconducting Gaps and Cyclic RG Flows
• Wilsonian renormalization group analysis of nonrelativistic three-body systems without introducing dimerons
• Scattering of cold ${}^4$He on ${}^4$He${-}^{6,7}$Li and ${}^4$He${-}^{23}$Na molecules
• Scaling functions applied to three-body recombination of Cesium-133 atoms
• Three-Body Problem of Bosons nearby a d-wave Resonance
• Magnetic-field-induced tunability of spin Hamiltonians: Resonances and Efimov states in Yb${}_2$Ti${}_2$O${}_7$
• Stability of $(N+1)$-body fermion clusters in multiband Hubbard model
• Chiral dynamics of S-wave baryon resonances
• Resonance triplet dynamics in the quenched unitary Bose gas
• Causality, universality, and effective field theory for van der Waals interactions
• Universal four-boson system: dimer-atom-atom Efimov effect and recombination reactions
• Observation of an Efimov resonance in an ultracold mixture of atoms and weakly bound dimers
• Universal behavior of few-boson systems using potential models
• Efimov states in Li-Cs mixtures within a minimal model
• Causality bounds for neutron-proton scattering
• Experimental review of the ${\rm Y}(1S,2S,3S)$ physics at $e^{+}{e}^{-}$ colliders and the LHC
• Three-body contact for fermions. I. General relations
• Discrete scale invariance of the quasi-bound states at atomic vacancies in a topological material
• Spectral flow of trimer states of two heavy impurities and one light condensed boson
• Stability of Matter-Antimatter Molecules
• Magnetic Field Dependence and Efimov Resonance Broadening in Ultracold Three-Body Recombination
• Effective field theory for one-dimensional nonrelativistic particles with contact interaction
• Neutron-${}^{19}\mathrm{C}$ scattering: Towards including realistic interactions
• Effective range expansion with a long-range force
• Normal state properties of spin-orbit coupled Fermi gases in the upper branch of energy spectrum
• Universal low-energy behavior in three-body systems
• Toward precision Fermi liquid theory in two dimensions
• Quantum Monte Carlo studies of a trimer scaling function with microscopic two- and three-body interactions
• Three-body recombination in a single-component Fermi gas with $p$-wave interaction
• Higher order fermion effective polynomial interactions
• Emergent four-body parameter in universal two-species bosonic systems
• The chiral limit of QCD and above
• Asymmetric lineshapes of Efimov resonances in mass-imbalanced ultracold gases
• Trimer and Tetramer Bound States in Heteronuclear Systems
• Structural properties of bosonic He clusters with N=2-10 for different potential models at the physical point and at unitarity
• Worldline Monte Carlo method for few body nuclear physics
• Stable production of a strongly-interacting Bose-Einstein condensate via mode-matching
• Coulomb interactions within Halo Effective Field Theory
• Axionlike Dark Matter Model Involving Two-Phase Structure and Two-Particle Composites (Dimers)
• Analytic expression for three-body recombination rates into deep dimers
• Photo Reactions with Universal Trimers
• Three-body renormalization group limit cycles based on unsupervised feature learning
• Lattice methods and effective field theory
• Triple-X and beyond: hadronic systems of three and more X(3872)
• Dimensional effects in Efimov physics
• Structural and quantum properties of van der Waals cluster near the unitary regime
• The Four-Boson First-Excited State Near Two-Body Unitarity
• Two-body continuum states in non-integer geometry
• Four-Body Systems at Large Cutoffs in Effective Field Theory
• Universality and Leading Corrections in Few-Body Systems
• Scattering resonances and pairing in a Rabi-coupled Fermi gas
• Coherent bimolecular reactions with quantum-degenerate matter waves
• Coincidence Structures and Hard-Core Few-Body Interactions
• Universal bound states and resonances with Coulomb plus short-range potentials
• Three-body bound states in a harmonic waveguide with cylindrical symmetry
• Feasibility of perturbative generation of bound-states from resonances or virtual states
• Weakly bound states with spin-isospin symmetry
• Energetics and structural properties of two- and three-boson systems in the presence of 1D spin-orbit coupling
• Interacting bosons in a nearly-resonant potential well
• Isospin-Asymmetry Dependence of the Thermodynamic Nuclear Equation of State in Many-Body Perturbation Theory
• Role of spin-isospin symmetries in nuclear $\beta$-decays
• Strong-coupling RPA theory of a Bose gas near the superfluid--Mott-insulator transition: universal thermodynamics and two-body contact
• DNA Unzipping Transition
• On the Appearance of Families of Efimov States in the Spinor Three-Body Problem
• Efimov-like states and quantum funneling effects on synthetic hyperbolic surfaces
• Effective field theory analysis of boson-trimer bond lengths to next-to-leading order
• Efimov universality with Coulomb interaction
• Two-Step Production of Resonant Bose-Einstein Condensates
• A Quantum Model of Feshbach Resonances
• Two-dimensional bosonic droplets in a harmonic trap
• Medium-enhanced polaron repulsion in a dilute Bose mixture
• Efimov Trimers near the Zero-crossing of a Feshbach Resonance
• Triviality of a model of particles with point interactions in the thermodynamic limit
• Corrections to reaction-diffusion dynamics above the upper critical dimension
• Efimovian states of three charged particles
• A semiclassical analysis of the Efimov energy spectrum in the unitary limit
• Universal scattering phase shift in the presence of spin-orbit coupling
• Efimov effect for two particles on a semi-infinite line
• Bose-Einstein Condensate Dark Matter That Involves Composites
• Energetics of three interacting mass-imbalanced bodies in a three-dimensional spherical harmonic trap
• Low-Energy Deuteron-Alpha Elastic Scattering in Cluster Effective Field Theory
• Repulsive Fermi and Bose Polarons in Quantum Gases
• Searching for the Tetraneutron Resonance on the Lattice
• Universal Relations for Fermions with Large Scattering Length
• Exploring universality in nuclear clusters with Halo EFT
• Effects of Efimov states on quench dynamics in a three-boson trapped system
• Renormalisation-group analysis of electromagnetic couplings in the pionless effective field theory
• Charged three-body system with arbitrary masses near conformal invariance
• Observability of the Efimov spectrum in an electron-atom-atom system
• Universality in Few-Body Systems
• Linear rotor in an ideal Bose gas near the threshold for binding
• Unitary Fermi gas in the epsilon expansion
• Exploring the Strongly-Interacting Regime of Effective Multi-Body Interactions in a Trapped Ultracold Atom System
• The Efimov effect for heteronuclear three-body systems at positive scattering length and finite temperature
• Modern topics in theoretical nuclear physics
• Branching Fractions of the $X(3872)$
• Chiral dynamics of few-nucleon systems
• Second excited state of ${}^4\mathrm{He}$ tetramer
• Three-body halo states in effective field theory
• Progress on the three-particle quantization condition
• Nuclei and chiral dynamics
• The $S_{E1}$ factor of radiative $\alpha$ capture on ${}^{12}$C in effective field theory
• Anisotropic potential immersed in a dipolar Bose-Einstein condensate
• Influence of Cooper pairing on the inelastic processes in a gas of Fermi atoms
• Few-Body Effects in Cold Atoms and Limit Cycles
• Exotic Quantum States for Charmed Baryons at Finite Temperature
• Emergence of N-body tunable interactions in universal few-atom system
• Ultracold Scattering and Universal Correlations
• Paired fermionic superfluids with s- and p-wave interactions
• ${}_{\Lambda \Lambda }^5$H and ${}_{\Lambda \Lambda }^5$He Hypernuclei reexamined in Halo/Cluster Effective Theory
• A renormalization method for three-boson system with a triboson field
• Efimov resonances above four-boson threshold
• Universal Efimov spectra and fermionic doublets in highly mass-imbalanced cold-atom mixtures with van der Waals and dipole interactions
• The role of the effective range in strongly-interacting few-body systems
• Investigation of ${\Xi }^{-}nn$ ($S=-2$) Hypernucleus in Low-energy Pionless Halo Effective Theory
• Effective field theory for weakly bound two-neutron halo nuclei: corrections from neutron-neutron effective range
• Efimov physics beyond three particles
• Manifestation of Universality in the Asymmetric Helium Trimer and in the Halo Nucleus ${}^{22}$C
• Estimating Consequences of 3-Body Forces
• Log-Periodic Oscillations in the Photo Response of Efimov Trimers
• When does a Fermi puddle become a Fermi sea? Emergence of pairing in two-dimensional trapped mesoscopic Fermi gases
• Optically trapped Feshbach molecules of fermionic ${}^{161}$Dy and ${}^{40}$K: Role of light-induced and collisional losses
• Clusters in Separated Tubes of Tilted Dipoles
• Condensates of Strongly-interacting Atoms and Dynamically Generated Dimers
• Hadronic molecules and multiquark states
• Two-mode Phonon Squeezing in Bose-Einstein Condensates for Gravitational Wave Detection
• Few-body techniques using momentum space for bound and continuum states
• Observable Resonances in Efimov-unfavored Systems
• Phenomenological model of decaying Bose polarons
• Density effects on the interferometry of Efimov states by modulating magnetic fields
• Accurate simulation of Efimov physics in ultracold atomic gases with realistic three-body multichannel interactions
• Relativistic Borromean States
• Delta-Kick Collimation of Heteronuclear Feshbach Molecules
• Effective field theory for resonant wino dark matter
• The failure of the master equation for the reactive systems
• UV/IR symmetries of the $S$-matrix and RG flow
• Role of the effective range in the weak-binding relation
• Low Energy Continuum and Lattice Effective Field Theories
• Limit Cycles from the Similarity Renormalization Group
• Shallow Trimers of Two Identical Fermions and One Particle in Resonant Regimes
• Efimov-DNA Phase diagram: three stranded DNA on a cubic lattice
• Two- and three- dimensional few-body systems in the universal regime
• Complex-valued in-medium potential between heavy impurities in ultracold atoms
• Compositness and wave function of shallow bound states in relation to scattering observables
• Random matrix theory analysis of a temperature-related transformation in statistics of Fano-Feshbach resonances in Thulium atoms
• Comparison between the numerical solutions and the Thomas-Fermi approximation for atomic-molecular Bose-Einstein condensates
• Fragmentation Temperature of 1D and 3D Quantum Droplets in a BEC Mixture
• Gaussian characterization of two-neutron halo nuclei
• Recombination in the universal four-fermion system
• Three-Fermion Bound States on the Light Front
• Bound-like State in a 1D Self-Similar Delta-Barrier Array
• Structure of exotic hadrons by a weak-binding relation with finite-range correction
• Universality in Ionic Three-body Systems Near an Ion-atom Feshbach Resonance
• Characterization of Feshbach resonances in ${}^6\mathrm{Li}{-}^7\mathrm{Li}$ using improved interaction potentials
• Halo EFT for ${}^{31}$Ne in a spherical formalism
• Efimov energy level rebounding off the atom-dimer continuum
• Theoretical study of the $\Xi \alpha$ correlation function
• An Effective Theory for the Four-Body System with Short-Range Interactions
• Efimov spectrum in the Born--Oppenheimer picture of 2+1 system with zero-range heavy-light interactions
• Short-distance production of three particles with large scattering length
• Neural-network solution of subtracted three-body Faddeev integral equations near the Efimov limit
• Structures associated with the Borromean rings complement in the Poincaré ball
• Finite-range bias in fitting three-body loss to the zero-range model
• Three-body recombination near the d-wave resonance in ultracold ${}^{85}$Rb\,-${}^{87}$Rb mixtures
• The fractal geometry and the mapping of Efimov states to Bloch states
• Generalized Gross-Pitaevskii Equation for 2D Bosons with Attractive Interactions
• Developments in non-relativistic field theory and complexity
• Effective Range Corrections in Few-Body Systems with large Scattering Length
• Model-independent mass determination of near-threshold states from short-range production
• Higher order effective interactions and effective bosonized model for 2-N particle states
• Reliability of the Born-Oppenheimer approximation in noninteger dimensions
• Few-boson system with a single impurity: Universal bound states tied to Efimov trimers
• Scaling Laws Governing the Collapse of a Bose-Einstein Condensate
• Constraints on self-interaction cross-sections of dark matter in universal bound states from direct detection
• Double Lambda He-6 in cluster effective field theory
• Efimov Effect in Ultracold Microwave-Shielded Polar Molecules
• Resonant Floquet Scattering of Ultracold Atoms
• Photoassociation of Universal Efimov Trimers