Microscopic Origin and Universality Classes of the Efimov Three-Body Parameter

Abstract

The low-energy spectrum of three particles interacting via nearly resonant two-body interactions in the Efimov regime is set by the so-called three-body parameter. We show that the three-body parameter is essentially determined by the zero-energy two-body correlation. As a result, we identify two classes of two-body interactions for which the three-body parameter has a universal value in units of their effective range. One class involves the universality of the three-body parameter recently found in ultracold atom systems. The other is relevant to short-range interactions that can be found in nuclear physics and solid-state physics.

5 pages; 1 table; 5 figures (citations added; published version)

References in corpus (14)

• 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
• Three-boson problem near a narrow Feshbach resonance
• 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
• Observation of heteronuclear atomic Efimov resonances
• Radio Frequency Association of Efimov Trimers
• Atom-Dimer Scattering in a Three-Component Fermi Gas
• Excited Thomas-Efimov levels in ultracold gases
• Efimov Physics and the Three-Body Parameter within a Two-Channel Framework
• The Efimov effect in lithium 6
• Universal three-body parameter in ultracold 4He*

Cited by in corpus (31)

• Observation of Efimov Resonances in a Mixture with Extreme Mass Imbalance
• Universal van der Waals Physics for Three Ultracold Atoms
• Heteronuclear Efimov scenario with positive intraspecies scattering length
• Generalized Efimov scenario for heavy-light mixtures
• Three-body recombination at vanishing scattering lengths in an ultracold Bose gas
• Resonant atom-dimer collisions in cesium: Testing universality at positive scattering lengths
• Calibration of Interaction Energy between Bose and Fermi Superfluids
• Efimov States of Strongly Interacting Photons
• Universality in Efimov associated tetramers in 4He
• Three-body recombination of two-component cold atomic gases into deep dimers in an optical model
• The three-body parameter for Efimov states in lithium-6
• Onset of the Limit Cycle and Universal Three-Body Parameter in Efimov Physics
• The multichannel nature of three-body recombination for ultracold ${}^{39}$K
• Finite-temperature effects on a triatomic Efimov resonance in ultracold cesium
• A coherent superposition of Feshbach dimers and Efimov trimers
• Van der Waals universality in homonuclear atom-dimer elastic collisions
• Temperature-dependence of small harmonically trapped atom systems with Bose, Fermi and Boltzmann statistics
• Ultracold heteronuclear three-body systems: How diabaticity limits the universality of recombination into shallow dimers
• Efficient three-body calculations with a two-body mapped grid method
• A multichannel hyperspherical model for Efimov physics with van der Waals interactions controlled by a Feshbach resonance
• Three-body continuum states and Efimov physics in non-integer geometry
• Loosely Bound Few-Body States in a Spin-1 Gas with Near-Degenerate Continua
• Efimov states in Li-Cs mixtures within a minimal model
• Two-body continuum states in non-integer geometry
• Window for Efimov physics for few-body systems with finite-range interactions
• Exotic Quantum States for Charmed Baryons at Finite Temperature
• Emergence of N-body tunable interactions in universal few-atom system
• Equivalence of dissipative and dissipationless dynamics of interacting quantum systems with its application to the unitary Fermi gas
• Efimov energy level rebounding off the atom-dimer continuum
• Few-boson system with a single impurity: Universal bound states tied to Efimov trimers
• Density effects on the interferometry of Efimov states by modulating magnetic fields