Effective field theory for few-boson systems

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 He-4 atomic systems and show that the results are in surprisingly good agreement with those of sophisticated He-4 - He-4 potentials. Potential implications for the convergence of the EFT expansion are discussed.Institute for Nuclear Theory at the University of Washington [INT-16-1]; French Embassy in Israel; Pazi Fund; France's Centre National de la Recherche Scientifique under a grant of IN2P3's Comite de Financement des Projets de Physique Theorique; U.S. Department of Energy, Office of Science, Office of Nuclear Physics [DE-FG02-04ER41338]This item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu