Effective field theory for few-boson systems

Betzalel Bazak, Moti Eliyahu, Ubirajara Van Kolck

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38 Scopus citations


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 He4 atomic systems and show that the results are in surprisingly good agreement with those of sophisticated He4-He4 potentials. Potential implications for the convergence of the EFT expansion are discussed.

Original languageAmerican English
Article number052502
JournalPhysical Review A
Issue number5
StatePublished - 2016
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2016 American Physical Society.


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