We provide a second order energy expansion for a gas of N bosonic particles with three-body interactions in the Gross-Pitaevskii regime. We especially confirm a conjecture by Nam, Ricaud and Triay in [21], where they predict the subleading term in the asymptotic expansion of the ground state energy to be of the order √N. In addition, we show that the ground state satisfies Bose-Einstein condensation with a rate of the order 1√N.
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Morris Brooks (2024) studied this question.
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