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.
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Submitted on : Tuesday, August 23, 2016 - 2:35:20 PM
Last modification on : Thursday, January 11, 2018 - 6:12:41 AM

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B. Bazak, M. Eliyahu, U. van Kolck. Effective field theory for few-boson systems. Physical Review A, American Physical Society, 2016, 94 (5), pp.052502. ⟨10.1103/PhysRevA.94.052502⟩. ⟨in2p3-01355494⟩

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