Effective field theory for few-boson systems

Betzalel Bazak, Moti Eliyahu, and Ubirajara van Kolck
Phys. Rev. A 94, 052502 – Published 1 November 2016

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 He4 atomic systems and show that the results are in surprisingly good agreement with those of sophisticated He4He4 potentials. Potential implications for the convergence of the EFT expansion are discussed.

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  • Received 6 July 2016

DOI:https://doi.org/10.1103/PhysRevA.94.052502

©2016 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

Betzalel Bazak1,*, Moti Eliyahu2, and Ubirajara van Kolck1,3,†

  • 1Institut de Physique Nucléaire, CNRS-IN2P3, Univrsité Paris-Sud, Université Paris-Saclay, 91406 Orsay, France
  • 2The Racah Institute of Physics, The Hebrew University, Jerusalem 9190401, Israel
  • 3Department of Physics, University of Arizona, Tucson, Arizona 85721, USA

  • *bazak@ipno.in2p3.fr
  • vankolck@ipno.in2p3.fr

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Issue

Vol. 94, Iss. 5 — November 2016

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