Efimov States in Nuclear and Particle Physics

Abstract

Particles with resonant short-range interactions have universal properties that do not depend on the details of their structure or their interactions at short distances. In the three-body system, these properties include the existence of a geometric spectrum of three-body Efimov states and a discrete scaling symmetry leading to log-periodic dependence of observables on the scattering length. Similar universal properties appear in the four-body system and possibly higher-body systems as well. For example, universal four-body states have recently been predicted and observed in experiment. These phenomena are often referred to as "Efimov Physics". We review their theoretical description and discuss applications in different areas of physics with a special emphasis on nuclear and particle physics.

Invited review for Annual Review of Nuclear and Particle Science

References in corpus (43)

• Charmonium
• 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
• The Exotic XYZ Charmonium-like Mesons
• Three-body recombination in a three-state Fermi gas with widely tunable interactions
• Quarkonia and their transitions
• 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
• Reconciling the X(3872) with the near-threshold enhancement in the D^0\bar{D}^{*0} final state
• Efimov Physics in Cold Atoms
• Line Shapes of the X(3872)
• alpha-alpha Scattering in Halo Effective Field Theory
• No-core shell model in an effective-field-theory framework
• Weakly Bound Cluster States of Efimov Character
• Effective Theory for Trapped Few-Fermion Systems
• Universal properties and structure of halo nuclei
• Efimov physics in a finite volume
• The Effects of Charged Charm Mesons on the Line Shapes of the X(3872)
• Range Corrections to Three-Body Observables near a Feshbach Resonance
• On the modification of the Efimov spectrum in a finite cubic box
• Efimov states and their Fano resonances in a neutron-rich nucleus
• On the scattering of D and D* mesons off the X(3872)
• The Three-Boson System at Next-To-Next-To-Leading Order
• Hadronic Interactions from Lattice QCD
• Effective field theory calculation of nd radiative capture at thermal energies
• The Three-Nucleon System at Next-To-Next-To-Leading Order
• Range corrections for two-neutron halo nuclei in effective theory
• Isospin properties of the X state near the D {\bar D}^{*} threshold
• Three-body loss in lithium from functional renormalization
• Neutron${-}^{19}$C scattering near an Efimov state
• Neutron-Deuteron System and Photon Polarization Parameter at Thermal Neutron Energies
• Functional renormalisation group for two-body scattering
• A Model Study of Discrete Scale Invariance and Long-Range Interactions
• More on the infrared renormalization group limit cycle in QCD
• Pion-mass dependence of three-nucleon observables
• Effective interactions for light nuclei: an effective (field theory) approach
• Renormalization-group analysis for low-energy scattering of charged particles
• Triton Photodisintegration with Effective Field Theory
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Cited by in corpus (75)

• Nuclear effective field theory: status and perspectives
• Efimov Physics: a review
• Three-body forces: From cold atoms to nuclei
• Signatures of three-nucleon interactions in few-nucleon systems
• Universality of the three-body Efimov parameter at narrow Feshbach resonances
• Heavy-quark spin and flavour symmetry partners of the X(3872) revisited: what can we learn from the one boson exchange model?
• New applications of renormalization group methods in nuclear physics
• Few-body physics in resonantly interacting ultracold quantum gases
• Quasi-free Neutron Knockout Reaction Reveals a Small $s$-orbital Component in the Borromean Nucleus ${}^{17}$B
• Modern Ab Initio Approaches and Applications in Few-Nucleon Physics with A \ge 4
• Rigorous constraints on three-nucleon forces in chiral effective field theory from fast and accurate calculations of few-body observables
• Implications of a matter-radius measurement for the structure of Carbon-22
• ${}^6$He nucleus in halo effective field theory
• Three particles in a finite volume: The breakdown of spherical symmetry
• Pion-less effective field theory for atomic nuclei and lattice nuclei
• Electromagnetic Structure of the Z_c(3900)
• The three-boson system at next-to-leading order in an effective field theory for systems with a large scattering length
• Parity- and time-reversal-violating nuclear forces
• $N$-boson spectrum from a Discrete Scale Invariance
• Low-energy p-d scattering and He-3 in pionless EFT
• Charge form factors of two-neutron halo nuclei in halo EFT
• Marrying {\it ab initio} calculations and Halo-EFT: the case of ${}^7\mathrm{Li}+n\to {}^8\mathrm{Li}+\gamma$
• Crossover trimers connecting continuous and discrete scaling regimes
• Unnuclear physics
• Point-Particle Effective Field Theory I: Classical Renormalization and the Inverse-Square Potential
• Efimov physics from a renormalization group perspective
• Universal Relations for Range Corrections to Efimov Features
• The proton-deuteron system in pionless EFT revisited
• Finite-range effects in Efimov physics beyond the separable approximation
• Light quark mass dependence in heavy quarkonium physics
• Three-body losses of a polarized Fermi gas near a p-wave Feshbach resonance in effective field theory
• Second-order perturbation theory for 3He and pd scattering in pionless EFT
• Onset of the Limit Cycle and Universal Three-Body Parameter in Efimov Physics
• Universal few-body physics in a harmonic trap
• The $D^{\ast }{D}^{\ast }\bar{D}$ and $D^{\ast }{D}^{\ast }{\bar{D}}^{\ast }$ Three-Body Systems
• Three-body model for $K(1460)$ resonance
• Finite volume effects in low-energy neutron-deuteron scattering
• Three-body forces and Efimov physics in nuclei and atoms
• Three-body systems in physics of cold atoms and halo nuclei
• Fall to the Centre in Atom Traps and Point-Particle EFT for Absorptive Systems
• Resonant spectra of quadrupolar anions
• Bound and resonance states of the dipolar anion of hydrogen cyanide: competition between threshold effects and rotation in an open quantum system
• Universality of Efimov states in highly mass-imbalanced cold-atom mixtures with van der Waals and dipole interactions
• Universal behaviour of four-boson systems from a functional renormalisation group
• Binding of the three-hadron $D{D}^{\ast }K$ system from the lattice effective field theory
• Halo structure of ${}^{17}$C
• Topological origin of universal few-body clusters in Efimov physics
• P-Wave Two-Particle Bound and Scattering States in a Finite Volume including QED
• Few-body universality in the deuteron-alpha system
• Resonant spectra of multipole-bound anions
• Four-boson bound states from a functional renormalisation group
• What hath Weinberg wrought? Reflections on what Weinberg's papers on 'Nuclear Forces from Chiral Lagrangians' did and did not accomplish
• Three-boson spectrum in the presence of 1D spin-orbit coupling: Efimov's generalized radial scaling law
• Magnetic-field-induced tunability of spin Hamiltonians: Resonances and Efimov states in Yb${}_2$Ti${}_2$O${}_7$
• The ${\bar{D}}^{\ast }{\bar{D}}^{\ast }{\Sigma }_c$ Three-Body System
• Kinetic formation of trimers in a spinless fermionic chain
• Stability of $(N+1)$-body fermion clusters in multiband Hubbard model
• Neutron-${}^{19}\mathrm{C}$ scattering: Towards including realistic interactions
• Universal bound states and resonances with Coulomb plus short-range potentials
• Four-Body Systems at Large Cutoffs in Effective Field Theory
• Three-body renormalization group limit cycles based on unsupervised feature learning
• Lattice methods and effective field theory
• The Efimov effect for heteronuclear three-body systems at positive scattering length and finite temperature
• Exploring the Strongly-Interacting Regime of Effective Multi-Body Interactions in a Trapped Ultracold Atom System
• Efimov universality with Coulomb interaction
• Efimov Effect in Long-range Quantum Spin Chains
• Efimov resonances above four-boson threshold
• Exotic Quantum States for Charmed Baryons at Finite Temperature
• Effective field theory for weakly bound two-neutron halo nuclei: corrections from neutron-neutron effective range
• Universal Efimov spectra and fermionic doublets in highly mass-imbalanced cold-atom mixtures with van der Waals and dipole interactions
• Universal Bound States in Long-range Spin Chains with an Impurity
• Ultracold Scattering and Universal Correlations
• Model-independent mass determination of near-threshold states from short-range production
• Recombination in the universal four-fermion system
• Neural-network solution of subtracted three-body Faddeev integral equations near the Efimov limit