Saturation properties of helium drops from a Leading Order description

Abstract

Saturation properties are directly linked to the short-range scale of the two-body interaction of the particles. The case of helium is particular, from one hand the two-body potential has a strong repulsion at short distances. On the other hand, the extremely weak binding of the helium dimer locates this system very close to the unitary limit allowing for a description based on an effective theory. At leading order of this theory a two- and a three-body term appear, each one characterized by a low energy constant. In a potential model this description corresponds to a soft potential model with a two-body term purely attractive plus a three-body term purely repulsive constructed to describe the dimer and trimer binding energies. Here we analyse the capability of this model to describe the saturation properties making a direct link between the low energy scale and the short-range correlations. We will show that the energy per particle, $E_N/N$, can be obtained with reasonable accuracy at leading order extending the validity of this approximation, characterizing universal behavior in few-boson systems close to the unitary limit, to the many-body system.

arXiv comment5 pages, 3 figures

References in corpus (21)

• 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
• Effective Theory of the Triton
• Observation of the Efimov state of the helium trimer
• Efimov Resonances in Ultracold Quantum Gases
• Universality of the three-body Efimov parameter at narrow Feshbach resonances
• Ab Initio Multi-Reference In-Medium Similarity Renormalization Group Calculations of Even Calcium and Nickel Isotopes
• Finite range corrections near a Feshbach resonance and their role in the Efimov effect
• Association of Efimov trimers from a three-atom continuum
• Variational description of the Helium trimer using correlated hyperspherycal harmonic basis functions
• Spectra of helium clusters with up to six atoms using soft core potentials
• Lattice Monte Carlo calculations for unitary fermions in a finite box
• Energy spectra of small bosonic clusters having a large two-body scattering length
• Linear correlations between 4He trimer and tetramer energies calculated with various realistic 4He potentials
• Effective Field Theory for Few-Boson Systems
• The helium trimer with soft-core potentials
• Universality in Efimov associated tetramers in 4He
• Matching universal behavior with potential models
• Universal range corrections to the Efimov trimer for a class of paths to the unitary limit
• Elusive structure of helium trimers

Cited by in corpus (12)

• Four-Body Scale in Universal Few-Boson Systems
• Correlations imposed by the unitary limit between few-nucleon systems, nuclear matter and neutron stars
• Efimov Physics and Connections to Nuclear Physics
• Two- and three-nucleon contact interactions and ground-state energies of light- and medium-mass nuclei
• Embedding nuclear physics inside the unitary window
• Three-body repulsive forces among identical bosons in one dimension
• From few to many bosons inside the unitary window: a transition between universal to non-universal behavior
• Subleading contributions to $N$-boson systems inside the universal window
• Les Houches Lectures on Effective Field Theories for Nuclear and (some) Atomic Physics
• Structural properties of bosonic He clusters with N=2-10 for different potential models at the physical point and at unitarity
• A Many-Body Density Energy Functional
• Natural and Dyson orbitals in small helium drops