Efimov physics in a finite volume

Abstract

Three bosons with large scattering length show universal properties that do not depend on the details of the interaction at short distances. In the three-boson system, these properties include a geometric spectrum of shallow three-body states called "Efimov states" and log-periodic dependence of scattering observables on the scattering length. We investigate the modification of the Efimov states in a finite cubic box and calculate the dependence of their energies on the box size using effective field theory. We explicitly verify the renormalization of the effective field theory in the finite volume.

9 pages, 3 figures, sign error corrected, numerical results changed, final version

References in corpus (23)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Universality in Few-body Systems with Large Scattering Length
• Evidence for Efimov quantum states in an ultracold gas of cesium atoms
• Renormalization of the Three-Body System with Short-Range Interactions
• The Three-Boson System with Short-Range Interactions
• Collisional stability of a three-component degenerate Fermi gas
• The unitary gas in an isotropic harmonic trap: symmetry properties and applications
• Two Nucleons on a Lattice
• Nuclear forces in the chiral limit
• Nucleon-Nucleon Scattering From Fully-Dynamical Lattice QCD
• Multi-Pion Systems in Lattice QCD and the Three-Pion Interaction
• Multi-Pion States in Lattice QCD and the Charged-Pion Condensate
• The Quark-Mass Dependence of Two-Nucleon Systems
• Variation of Fundamental Couplings and Nuclear Forces
• n-Boson Energies at Finite Volume and Three-Boson Interactions
• An Infrared Renormalization Group Limit Cycle in QCD
• Three-boson problem at low energy and Implications for dilute Bose-Einstein condensates
• Universal properties and structure of halo nuclei
• The Origins of Lattice Gauge Theory
• The Energy of n Identical Bosons in a Finite Volume at O(L^{-7})
• Three fermions in a box at the unitary limit: universality in a lattice model
• Pion-mass dependence of three-nucleon observables
• More on the infrared renormalization group limit cycle in QCD

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• Lattice QCD and Three-particle Decays of Resonances
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• Efimov States in Nuclear and Particle Physics
• Spectrum of three-body bound states in a finite volume
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• Extracting Scattering Phase-Shifts in Higher Partial-Waves from Lattice QCD Calculations
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• On the modification of the Efimov spectrum in a finite cubic box
• Multi-particle systems on the lattice and chiral extrapolations: a brief review
• One spatial dimensional finite volume three-body interaction for a short-range potential
• Two- and three-body interactions in ${\phi }^4$ theory from lattice simulations
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• Spectra and Scattering of Light Lattice Nuclei from Effective Field Theory
• Volume Dependence of Bound States with Angular Momentum
• An numerical approach for finite volume three-body interaction
• Relativistic-invariant formulation of the NREFT three-particle quantization condition
• Benchmark calculations for elastic fermion-dimer scattering
• Finite-volume energy shift of the three-pion ground state
• Multiple-particle interaction in $1+1$ dimensional lattice model
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• Three-particle bound states in a finite volume: unequal masses and higher partial waves
• Dalitz plots and lineshape of $a_1(1260)$ from a relativistic three-body unitary approach
• Multi-${\pi }^{+}$ systems in finite volume
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• Propagation of particles on a torus
• On the three-particle analog of the Lellouch-Lüscher formula
• A lattice model of heavy-light three-body system
• Nuclear Reactions from Lattice QCD
• Coulomb corrections to two-particle interaction in artificial traps
• Charged particles interaction in both a finite volume and a uniform magnetic field
• Threshold expansion formula of $N$-boson in finite volume from variational approach
• Visualizing resonances in finite volume
• Nuclear reactions in artificial traps
• Finite-volume energy shift of the three-nucleon ground state
• Finite-size and Particle-number Effects in an Ultracold Fermi Gas at Unitarity
• Charged particles interaction in both a finite volume and a uniform magnetic field II: topological and analytic properties of a magnetic system
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• On the Determination of Elastic and Inelastic Nuclear Observables from Lattice QCD
• Toward extracting scattering phase shift from integrated correlation functions on quantum computers
• Three particles on the lattice
• Formal Developments for Lattice QCD with Applications to Hadronic Systems