Convergence Properties of the Effective Theory for Trapped Bosons

Abstract

We investigate few-boson systems with resonant interactions in a narrow harmonic trap within an effective theory framework. The size of the model space is identified with the effective theory cutoff. In the universal regime, the interactions of the bosons can be approximated by contact interactions. We investigate the convergence properties of genuine and smeared contact interactions as the size of the model space is increased and present a detailed error analysis. The spectra for few-boson systems with up to 6 identical particles are calculated by combining extrapolations in the cutoff and in the smearing parameter.

26 pages, 14 figures

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• Energetics and structural properties of two- and three-boson systems in the presence of 1D spin-orbit coupling