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We consider a system of $N$ bosons on the three-dimensional unit torus. Theparticles interact through repulsive pair interactions of the form$N^{3\beta-1} v (N^\beta x)$ for $\beta \in (0,1)$. We prove the next ordercorrection to Bogoliubov theory for the ground state and the ground stateenergy.

Ground state of Bose gases interacting through singular potentials