Convergence Properties of the Effective Theory for Trapped Bosons

Understand

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.