Energy of N two-dimensional bosons with zero-range interactions

Abstract

We derive an integral equation describing N two-dimensional bosons with zero-range interactions and solve it for the ground state energy BN by applying a stochastic diffusion Monte Carlo scheme for up to 26 particles. We confirm and go beyond the scaling BN 8.567N predicted by Hammer and Son [Phys. Rev. Lett. 93, 250408 (2004)] in the large-N limit.

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