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.

27 pages, 8 figures

References in corpus (27)

• Chiral effective field theory and nuclear forces
• Nuclear Force from Lattice QCD
• Observation of an Efimov spectrum in an atomic system
• A high-precision variational approach to three- and four-nucleon bound and zero-energy scattering states
• Universal Properties of the Four-Body System with Large Scattering Length
• Nuclear Physics from Lattice QCD
• Comparing and contrasting nuclei and cold atomic gases
• Analytical solution of the bosonic three-body problem
• Efimov physics in bosonic atom-trimer scattering
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• Experimental evaluation of the nuclear neutron-proton contact
• Non-symmetrized hyperspherical harmonic basis for $A$-bodies
• Effective Field Theory for Few-Boson Systems
• $N$-boson spectrum from a Discrete Scale Invariance
• Non-resonant Density of States Enhancement at Low Energies for Three or Four Neutrons
• Implications of Efimov physics for the description of three and four nucleons in chiral effective field theory
• Universality in Efimov associated tetramers in 4He
• Neutron${-}^{19}$C scattering near an Efimov state
• The harmonic hyperspherical basis for identical particles without permutational symmetry
• More on the infrared renormalization group limit cycle in QCD
• Saturation properties of helium drops from a Leading Order description
• More on the universal equation for Efimov states
• Short range correlations - The important role of few-body dynamics in many-body systems
• Universal bosonic tetramers of dimer-atom-atom structure
• Energies and widths of Efimov states in the three-boson continuum
• 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