Efimov Physics and Connections to Nuclear Physics

Abstract

Physical systems characterized by a shallow two-body bound or virtual state are governed at large distances by a continuous-scale invariance, which is broken to a discrete one when three or more particles come into play. This symmetry induces a universal behavior for different systems, independent of the details of the underlying interaction, rooted in the smallness of the ratio $\ell /a_B\ll 1$, where the length $a_B$ is associated to the binding energy of the two-body system $E_2={\hslash }^2/m{a}_B^2$ and $\ell$ is the natural length given by the interaction range. Efimov physics refers to this universal behavior, which is often hidden by the on-set of system-specific non-universal effects. In this work we identify universal properties by providing an explicit link of physical systems to their unitary limit, in which $a_B\to \infty$, and show that nuclear systems belong to this class of universality.

arXiv comment27 pages, 8 figures

References in corpus (89)

• Feshbach Resonances in Ultracold Gases
• An accurate nucleon-nucleon potential with charge-independence breaking
• Modern Theory of Nuclear Forces
• Chiral effective field theory and nuclear forces
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Universality in Few-body Systems with Large Scattering Length
• Evidence for Efimov quantum states in an ultracold gas of cesium atoms
• Quantum Monte Carlo Calculations of $A\le 6$ Nuclei
• Effective Field Theory for Few-Nucleon Systems
• A New Expansion for Nucleon-Nucleon Interactions
• Large momentum part of fermions with large scattering length
• Energetics of a strongly correlated Fermi gas
• Renormalization of the Three-Body System with Short-Range Interactions
• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• Nuclear Force from Lattice QCD
• Nuclear effective field theory: status and perspectives
• Efimov Physics: a review
• Effective Field Theory for Short-Range Forces
• Precise solution of few-body problems with stochastic variational method on correlated Gaussian basis
• The Three-Boson System with Short-Range Interactions
• Observation of an Efimov spectrum in an atomic system
• Precision nucleon-nucleon potential at fifth order in the chiral expansion
• High-quality two-nucleon potentials up to fifth order of the chiral expansion
• Towards a Perturbative Theory of Nuclear Forces
• Nucleon-Nucleon Effective Field Theory Without Pions
• Effective Field Theory of Nuclear Forces
• A high-precision variational approach to three- and four-nucleon bound and zero-energy scattering states
• Universal few-body physics and cluster formation
• Universality of the Three-Body Parameter for Efimov States in Ultracold Cesium
• Universal Properties of the Four-Body System with Large Scattering Length
• Nuclear forces in the chiral limit
• A renormalisation-group treatment of two-body scattering
• Nuclear Physics from Lattice QCD
• Effective field theory description of halo nuclei
• Nucleon-Nucleon Scattering From Fully-Dynamical Lattice QCD
• The detection of neutron clusters
• Efimov Resonances in Ultracold Quantum Gases
• Universality of the three-body Efimov parameter at narrow Feshbach resonances
• On the correlation between the binding energies of the triton and the alpha-particle
• Comparing and contrasting nuclei and cold atomic gases
• Analytical solution of the bosonic three-body problem
• An Infrared Renormalization Group Limit Cycle in QCD
• Equation of state of dense nuclear matter and neutron star structure from nuclear chiral interactions
• Nuclear Physics Around the Unitarity Limit
• Weakly Bound Cluster States of Efimov Character
• Naive Dimensional Analysis for Three-Body Forces Without Pions
• Association of Efimov trimers from a three-atom continuum
• Efimov physics in bosonic atom-trimer scattering
• Low-Energy Universality in Atomic and Nuclear Physics
• Spectra of helium clusters with up to six atoms using soft core potentials
• Observation of Efimov molecules created from a resonantly interacting Bose gas
• Energy spectra of small bosonic clusters having a large two-body scattering length
• Correlations imposed by the unitary limit between few-nucleon systems, nuclear matter and neutron stars
• Wilsonian renormalization group versus subtractive renormalization in effective field theories for nucleon--nucleon scattering
• Nuclear matter properties from local chiral interactions with $\Delta$ isobar intermediate states
• Universality and scaling in the $N$-body sector of Efimov physics
• Experimental evaluation of the nuclear neutron-proton contact
• Non-symmetrized hyperspherical harmonic basis for $A$-bodies
• Effective Field Theory for Few-Boson Systems
• Short-range three-nucleon interaction from A=3 data and its hierarchical structure
• Universal nature and finite-range corrections in elastic atom-dimer scattering below the dimer breakup threshold
• $N$-boson spectrum from a Discrete Scale Invariance
• Non-resonant Density of States Enhancement at Low Energies for Three or Four Neutrons
• Tetraneutron: Rigorous continuum calculation
• Pade approximation of the S-matrix as a way of locating quantum resonances and bound states
• Embedding nuclear physics inside the unitary window
• Universality in Efimov associated tetramers in 4He
• Neutron${-}^{19}$C scattering near an Efimov state
• Implications of Efimov physics for the description of three and four nucleons in chiral effective field theory
• Universal Relations for Range Corrections to Efimov Features
• The harmonic hyperspherical basis for identical particles without permutational symmetry
• Properties of universal bosonic tetramers
• More on the infrared renormalization group limit cycle in QCD
• Fate of the neutron-deuteron virtual state as an Efimov level
• Emergence of clusters: Halos, Efimov states, and experimental signals
• Efimov physics with $1/2$ spin-isospin fermions
• Matching universal behavior with potential models
• Universal range corrections to the Efimov trimer for a class of paths to the unitary limit
• Saturation properties of helium drops from a Leading Order description
• From few to many bosons inside the unitary window: a transition between universal to non-universal behavior
• Recombination rates from potential models close to the unitary limit
• More on the universal equation for Efimov states
• Wilsonian renormalization group and the Lippmann-Schwinger equation with a multitude of cutoff parameters
• Short range correlations - The important role of few-body dynamics in many-body systems
• Universal bosonic tetramers of dimer-atom-atom structure
• Six-bodies calculations using the Hyperspherical Harmonics method
• Energies and widths of Efimov states in the three-boson continuum
• Some applications of the Faddeev-Yakubovsky equations to the cold-atom physics
• Efimov spectrum in bosonic systems with increasing number of particles

Cited by in corpus (21)

• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• Effect of the N3LO three-nucleon contact interaction on p-d scattering observables
• Subleading contributions to $N$-boson systems inside the universal window
• Perspectives on few-body cluster structures in exotic nuclei
• Interferometry of Efimov states in thermal gases by modulated magnetic fields
• A Vision for the Science of Rare Isotopes
• Machine learning one-dimensional spinless trapped fermionic systems with neural-network quantum states
• Quantum Monte Carlo studies of a trimer scaling function with microscopic two- and three-body interactions
• The excited state of the $\alpha$-particle: a benchmark study
• Worldline Monte Carlo method for few body nuclear physics
• Efimov Effect in Long-range Quantum Spin Chains
• Four-body system of ${}^4\mathrm{He}$ atoms: Dimer-dimer scattering
• Universal Bound States in Long-range Spin Chains with an Impurity
• Mean-field approximation on steroids: exact description of the deuteron
• Second excited state of ${}^4\mathrm{He}$ tetramer
• The role of the effective range in strongly-interacting few-body systems
• Bound-like State in a 1D Self-Similar Delta-Barrier Array
• Neural-network solution of subtracted three-body Faddeev integral equations near the Efimov limit
• Density effects on the interferometry of Efimov states by modulating magnetic fields
• The ${}^9$Be photodisintegration cross section within Cluster Effective Field Theory
• Gaussian characterization of two-neutron halo nuclei