Effective Field Theory for Few-Boson Systems

Abstract

We study universal bosonic few-body systems within the framework of effective field theory at leading order (LO). We calculate binding energies of systems of up to six particles and the atom-dimer scattering length. Convergence to the limit of zero-range two- and three-body interactions is shown, indicating that no additional few-body interactions need to be introduced at LO. Generalizations of the Tjon line are constructed, showing correlations between few-body binding energies and the binding energy of the trimer, for a given dimer energy. As a specific example, we implement our theory for 4He atomic systems, and show that the results are in surprisingly good agreement with those of sophisticated 4He-4He potentials. Potential implications for the convergence of the EFT expansion are discussed.

References in corpus (38)

• Feshbach Resonances in Ultracold Gases
• Universality in Few-body Systems with Large Scattering Length
• Effective Field Theory for Few-Nucleon Systems
• Renormalization of the Three-Body System with Short-Range Interactions
• Effective Field Theory for Short-Range Forces
• The Three-Boson System with Short-Range Interactions
• Variational calculations of dispersion coefficients for interactions between H, He, and Li atoms
• Effective Theory of the Triton
• Observation of the Efimov state of the helium trimer
• Universal Properties of the Four-Body System with Large Scattering Length
• The Four-Boson System with Short-Range Interactions
• On the correlation between the binding energies of the triton and the alpha-particle
• Improving the Convergence of NN Effective Field Theory
• No-core shell model in an effective-field-theory framework
• Improved Convergence in the Three-Nucleon System at Very Low Energies
• Weakly Bound Cluster States of Efimov Character
• Imaging the He${}_2$ quantum halo state using a free electron laser
• Naive Dimensional Analysis for Three-Body Forces Without Pions
• Universality and scaling limit of weakly-bound tetramers
• Universality in the Three-Body Problem for 4He Atoms
• Universal Five- and Six-Body Droplets Tied to an Efimov Trimer
• Spectra of helium clusters with up to six atoms using soft core potentials
• Precise numerical results for limit cycles in the quantum three-body problem
• Variational calculation of 4He tetramer ground and excited states using a realistic pair potential
• Description of ${}^4$He tetramer bound and scattering states
• Energy spectra of small bosonic clusters having a large two-body scattering length
• An effective field theory approach to two trapped particles
• Universality and scaling in the $N$-body sector of Efimov physics
• Effective Field Theory Analysis of Three-Boson Systems at Next-To-Next-To-Leading Order
• The three-boson system at next-to-leading order in an effective field theory for systems with a large scattering length
• Ultra-low energy elastic scattering in a system of three He atoms
• $N$-boson spectrum from a Discrete Scale Invariance
• Long-range interactions for He($nS$)--He$(n^{\prime }S)$ and He($nS$)--He$(n^{\prime }P)$
• Energy and structural properties of $N$-boson clusters attached to three-body Efimov states: Two-body zero-range interactions and the role of the three-body regulator
• Scattering length of the helium atom - helium dimer collision
• N-body Efimov states from two-particle noise
• Momentum-space calculation of ${}^4$He triatomic system with realistic potential
• Universality in Four-Boson Systems

Cited by in corpus (36)

• Nuclear effective field theory: status and perspectives
• Effective field theory description of halo nuclei
• Ground-State Properties of ${}^4$He and ${}^{16}$O Extrapolated from Lattice QCD with Pionless EFT
• Nuclear Physics Around the Unitarity Limit
• Four-Body Scale in Universal Few-Boson Systems
• Efimov Physics and Connections to Nuclear Physics
• Resolving the $\Lambda$ hypernuclear overbinding problem in pionless effective field theory
• Naturalness in Nuclear Effective Field Theories
• Ground-state properties of unitary bosons: from clusters to matter
• Implications of Efimov physics for the description of three and four nucleons in chiral effective field theory
• The onset of $\Lambda \Lambda$ hypernuclear binding
• Few-body bound states of two-dimensional bosons
• The Continuum Spectrum of Hypernuclear Trios
• Electromagnetic characteristics of $A\le 3$ physical and lattice nuclei
• Do we know how to count powers in pionless and pionful effective field theory?
• Clustering of Four-Component Unitary Fermions
• 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
• Nature of the $\Lambda nn$ $(J^{\pi }=1/2^{+},I=1)$ and ${}_{\mathrm{\Lambda }}^3{\mathrm{H}}^{\ast }(J^{\pi }=3/2^{+},I=0)$ states
• Universal Short Range Correlations in Bosonic Helium Clusters
• Multi-fermion systems with contact theories
• Subleading contributions to $N$-boson systems inside the universal window
• Spectrum of light nuclei in a finite volume
• Mass-imbalanced fermionic mixture in a harmonic trap
• B${}_{\Lambda }$(${}_{\Lambda }^5$He) from short range effective field theory
• Four-Body Systems at Large Cutoffs in Effective Field Theory
• Few-Nucleon Systems within Finite-Cutoff Pionless EFT
• Triple-X and beyond: hadronic systems of three and more X(3872)
• The Four-Boson First-Excited State Near Two-Body Unitarity
• A Many-Body Density Energy Functional
• Effective field theory analysis of boson-trimer bond lengths to next-to-leading order
• Efimov universality with Coulomb interaction
• Window for Efimov physics for few-body systems with finite-range interactions
• Van der Waals five-body size-energy universality
• Efimov physics beyond three particles
• Quantum Monte Carlo study of few- and many-body Bose systems in one and two dimensions