Energy and structural properties of $N$-boson clusters with Efimov character

ORAL

Abstract

The low-energy spectrum of $N$-boson clusters with pairwise zero-range interactions is believed to be governed by a three-body parameter. We study the ground state of $N$-boson clusters with infinite two-body scattering length by performing {\em{ab initio}} path-integral Monte Carlo simulations. To prevent Thomas collapse, we choose different three-body regulators. We first compare our results with the zero-range theory at the three-body level. The energy and structural properties of the models considered are in better agreement with the zero-range theory than those of two-body finite-range interaction models. We then calculate the energy of larger clusters and compare with predictions from the literature. Finally, we obtain structural properties and compare with those of two-body finite-range interaction models.

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Authors

  • Yangqian Yan

    Washington State University

  • Bethany Mathews

    International Centre for Theoretical Sciences, Tata Institute of Fundamental Research, Bangalore, India, Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Potsdam-Golm, Germany, Univ of Idaho, Washington State University, University of California Berkeley, University of British Columbia, Max Planck Institute for Solid State Research and Ecole Polytechnique F\'ed\'erale de Lausanne, Max Planck Institute for Solid State Research, University of British Columbia and Max Planck Institute for Solid State Research, Physikalisches Institut, Ruprecht-Karls-Universitaet Heidelberg, Univ of Oregon, Whitman College, The University of British Columbia, Durham University, Universit\"at Freiburg, Institute for Nuclear Theory, University of Washington, National Renewable Energy Laboratory, Golden, CO 80401, Los Alamos National Laboratory, Oregon State University