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 (7)

• Universal Properties of the Four-Body System with Large Scattering Length
• No-core shell model in an effective-field-theory framework
• Description of ${}^4$He tetramer bound and scattering states
• Energy spectra of small bosonic clusters having a large two-body scattering length
• $N$-boson spectrum from a Discrete Scale Invariance
• Long-range interactions for He($nS$)--He$(n^{\prime }S)$ and He($nS$)--He$(n^{\prime }P)$
• Scattering length of the helium atom - helium dimer collision

Cited by in corpus (6)

• 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
• Saturation properties of helium drops from a Leading Order description
• Mass-imbalanced fermionic mixture in a harmonic trap
• Window for Efimov physics for few-body systems with finite-range interactions
• Efimov universality with Coulomb interaction